Curt Jaimungal and Professor Ivette Fuentes Dive into Quantum Experiments
The Breakthrough in Physics We’ve Been Waiting For
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Summary
In an exhilarating discussion, Curt Jaimungal talks to Professor Ivette Fuentes about groundbreaking approaches to quantum gravity. They delve into the vital nexus of physics with quantum mechanics and general relativity. Fuentes elaborates on novel experiment proposals using quantum optics and ultra-cold atoms to test theories of space-time and gravity, inspiring a deeper look into long-standing theoretical disputes. Despite the challenges, her work represents a frontier for understanding the universe, challenging researchers to look beyond conventional theories and tech paradigms.
Highlights
Galileo's story highlights the need to explore new paths in physics 🚀
Professor Fuentes is passionate about merging quantum mechanics with general relativity using experiments 🌟
She's exploring quantum optics with real-life experiments to test space-time theories 🎯
Discovery awaits in quantum entanglement from Earth to satellite levels 🛰️
Quantum clocks and Bose-Einstein condensates are pivotal in these groundbreaking experiments ⏰
Key Takeaways
Galileo's telescope story teaches us to look beyond popular theories and explore new ideas 🔭
Ultra-cold atoms and quantum optics could uncover the quantum nature of space-time ❄️
Questioning string theory can lead to fresh insights and breakthroughs 🌌
Advanced quantum technology is making groundbreaking experiments possible in space and Earth 🚀
Entanglement experiments show quantum mechanics' vast applicability beyond small scales 🤯
Overview
In this lively discussion, Curt Jaimungal invites Professor Ivette Fuentes to explore her revolutionary journey in the physics world. Guided by the curiosity sparked by string theory, Fuentes navigated through various fields, eventually focusing on bridging quantum mechanics and general relativity using experimental physics.
Professor Fuentes shares intriguing insights from her work on quantum metrology and experimental proposals aimed at understanding space-time at quantum levels. Her work challenges the traditional perception of physics, encouraging a focus on experimental backing rather than mere theoretical frameworks.
Curt and Fuentes delve into the potential of ultra-cold atoms and quantum clocks in revealing new aspects of quantum gravity. Fuentes champions the exploration of uncharted territories, from space-savvy satellites to the core of atomic clocks, showcasing the evolving fabric of our universe.
Chapters
00:00 - 00:30: Introduction and Galileo's Telescope This chapter explores the historical resistance to new scientific tools and theories, starting with Galileo's invention of the telescope. It draws a parallel to modern science, where there is resistance to considering certain theories. A major focus is on the quest to reconcile quantum theory with gravity, suggesting that instead of more complex mathematics, the solution may lie in innovative experiments. The chapter mentions Professor Ivette Fuentes in this context.
00:30 - 01:30: Professor Ivette Fuentes's Proposal Professor Ivette Fuentes, a noted collaborator of Roger Penrose, is proposing innovative experiments with ultra-cold atoms and quantum technologies aimed at investigating the potentially quantum properties of space-time. However, these pioneering ideas are met with reluctance in the scientific community. This hesitancy may be attributed to the appeal of engaging in purely theoretical research, the momentum of existing research agendas, or possibly due to other underlying factors.
01:30 - 03:00: String Theory Critique In this chapter, the focus is on Professor Ivette Fuentes' innovative methods for testing quantum gravity, which are largely being ignored by the broader physics community. The discussion revolves around the challenges of moving away from prevailing trends and how these inventive approaches could impact the current understanding of quantum physics. The chapter sets the stage for an engaging discourse, highlighting the excitement of having Professor Fuentes bring her ideas to light.
03:00 - 04:30: Quantum Gravity and Experiments The chapter titled 'Quantum Gravity and Experiments' begins with the speaker expressing their appreciation for the host's podcast, noting that they are a frequent listener and viewer. This creates a sense of familiarity when meeting the host, akin to knowing them for a long time. The conversation captures the speaker's pleasant surprise and warmth upon realizing they are finally meeting the person behind the familiar voice and presence of the podcast.
04:30 - 06:00: Background and Career Path of Professor Fuentes Professor Fuentes is recognized for her in-depth discussions on advanced topics such as string theory. Her career reflects a keen ability to navigate complex physics concepts, much like the iterative problem-solving game 'whack-a-mole,' where solving one issue often leads to the emergence of another. She emphasizes the iterative nature of scientific inquiry, highlighting Einstein's struggle to align theories of acceleration and gravity with scalar fields. This chapter sets the foundation for understanding her academic journey, marked by problem-solving and theoretical integration.
06:00 - 07:30: Instrumental Role in Scientific Discoveries This chapter delves into the complex evolution of scientific theories, focusing on the developments and challenges in theoretical physics. Initially, the possibility of a variable speed of light is considered, which prompts a shift from scalars to tensors in mathematical modeling. The discussion transitions into string theory, initially requiring 26 dimensions, and highlights the introduction of supersymmetry as a solution to existing issues. Despite progress, challenges persist due to the existence of numerous types of string theory and complex dimensional requirements. The chapter concludes with the integration of heterotic strings as a partial solution, though gauge anomalies and other problems remain to be addressed. This narrative underscores the instrumental role of evolving mathematical and physical concepts in driving scientific breakthroughs.
07:30 - 10:00: Challenges in Unifying Quantum Mechanics and General Relativity The chapter discusses the challenges faced in unifying quantum mechanics and general relativity. It touches upon the social pressure within the scientific community to engage in this field, as it is often considered the 'only game in town.' The speaker mentions their active work on this unification problem, indicating it as a recent focus in their research, although they have yet to find a complete solution.
10:00 - 13:00: Pursuing Experiments in Quantum Physics The chapter titled 'Pursuing Experiments in Quantum Physics' discusses the ongoing results of certain quantum physics experiments. Although the full results are not yet available, the chapter highlights significant progress that has been achieved, which is described as an interesting step forward. The author acknowledges coming from a different background and suggests that their unique perspective adds intriguing value to the story. The chapter also mentions evenings spent reviewing related research, indicating a deep engagement with the topic.
13:00 - 15:00: Long-range Quantum Entanglement Experiments The chapter titled 'Long-range Quantum Entanglement Experiments' begins with a personal reflection from the speaker, who expresses excitement about their experience and introduces the audience to their work. The speaker invites the attendees to familiarize themselves with recent results in the field. The narrative delves into the speaker's academic background, recounting a formative experience with a quantum mechanics instructor named Luis de la Peña, who inspired the speaker's interest in the foundations of physics.
15:00 - 18:00: Time Dilation and Quantum Clocks The chapter discusses the speaker's interest in quantum mechanics, highlighting a significant encounter with a mentor who advised them against pursuing the field due to its challenges. The speaker was encouraged to focus on more mainstream topics, with the option to revisit quantum mechanics later.
18:00 - 21:00: Mass Superposition and Roger Penrose's Ideas The chapter discusses a conversation about taking different academic paths and the challenges associated with it. It highlights how a person, possibly an academic mentor, advised against following the same difficult path they took, indicating this as a gesture of generosity rather than discouragement. It also touches upon the speaker's aspiration to go to Fermilab.
21:00 - 25:00: Bose-Einstein Condensates and Quantum Experiments The chapter titled 'Bose-Einstein Condensates and Quantum Experiments' begins with a personal anecdote involving a student's ambition to partake in a summer competition. The student recounts their interaction with a professor when they requested a reference letter for the opportunity. Despite having excellent grades, the professor was initially reluctant, noting that many students achieve high marks. This opened up a broader conversation, reflecting on the student's journey and motivation as they approach the completion of their degree.
25:00 - 30:00: Proposing New Quantum Sensors The chapter discusses a conversation where the speaker shares their initial fascination with string theory, a branch of theoretical physics that treats particles as point-like systems, suggesting its beauty and initial captivating appeal.
30:00 - 31:30: Concluding Remarks and Future Directions The concluding chapter discusses the notion of multiple dimensions and string theory. The speaker expresses initial admiration for the unification of different particles through these concepts, highlighting their beauty. However, as they delved deeper, they encountered challenges, particularly with the concept of many dimensions. The speaker likens this to epicycles, suggesting a complex and potentially flawed explanation akin to historical astronomical models. This reflection forms the basis for discussing future directions and unresolved questions in the field.
31:30 - 33:30: Outro and Additional Information In this chapter, the discussion revolves around historical perspectives on planetary motion, emphasizing the ancient belief that heavenly bodies followed circular paths because circles were deemed the perfect shape. This belief illustrates how rigid adherence to certain ideas can hinder scientific progress. The chapter concludes by inviting further reflection on how such entrenched concepts can be reevaluated to enable advancement.
The Breakthrough in Physics We’ve Been Waiting For Transcription
00:00 - 00:30 When Galileo invented the telescope, people
didn't want to look through it, and that also makes me think about a lot of the stuff happening
in science where people refuse to look at certain theories. For decades, reconciling quantum
theory with gravity has been the holy grail of theoretical physics. But what if the path forward
isn't through ever more convoluted mathematics, but rather through ingenious experiments we could
perform right now? Professor Ivette Fuentes, the
00:30 - 01:00 close collaborator of Roger Penrose, is proposing
just that—groundbreaking tests using ultra-cold atoms and quantum technologies that could probe
the ostensibly quantum nature of space-time. Yet, despite its potential, many researchers in the
field are hesitant to pursue these ideas. Is it the allure of purely theoretical work, the inertia
of established research programs, or simply
01:00 - 01:30 the challenge of breaking away from fashionable
thinking? In this episode, we'll explore Professor Fuentes' inventive approaches to testing quantum
gravity and why they're being overlooked by much of the physics community. Professor Ivette
Fuentes, it's a long time coming. I'm super excited to have you on here. The audience, it's
going to be a treat for them. They don't realize it right now, maybe, but the audience is in for a
great treat. So thank you and the floor is yours.
01:30 - 02:00 Thank you very much. I was just telling you just
now that I love your podcast and I listen to it, see it very often, let's say. So it was very nice
meeting you just now because I felt that I've met you forever. So this feeling of after seeing you
often in the evenings and then it's like, oh, wow, that's you there. So that was really very
nice. And I was also telling you just now that
02:00 - 02:30 I saw some of the podcasts that you were talking
about string theory. Physics is like whack-a-mole. Einstein said, I have this idea, acceleration and
gravity are the same. Problem, how do I make this work with a scalar field? It's like a little mole
that comes up. He whacks it down. He says, okay, maybe it was a mistake to unite space and time,
but then problem crops up. You have to introduce a
02:30 - 03:00 variable speed of light. So then he's like, okay,
let me knock that down. Forget about scalars. Let me introduce tensors, a different mathematical
object. You knock that down. In order for string theory to work, it needs to be 26 dimensional.
And they only had bosons at this point in the story. Okay, why don't we add something called
supersymmetry? So we knock it down. Okay, cool. Problem. There are so many types of
string theory. And now there's 10 dimensional, not four dimensional, but it's some progress.
Okay, solution. You combine some heterotic strings. Okay, problem. We still have five and we
have gauge anomalies. And how when one works in
03:00 - 03:30 foundations of physics and in unification, there's
like that, I think you mentioned that people say it's like the only game in town and how there is
this sort of social pressure to work in the field. So I am working at the moment in the unification
of quantum mechanics and general relativity. This is kind of really focusing on that problem. It's
a more recent thing. I still don't have actually
03:30 - 04:00 my results available, but they're coming up. Of
course, not the full thing, but I think a nice, interesting step. I think we managed to achieve,
but I come from a very different sort of a place. And I thought that maybe the story of that could
be interesting in the light of the things you've been discussing. Yes. And I've been looking at
your research in the evenings as well. And so
04:00 - 04:30 this is a wonderful experience for myself. And I
would love for the audience to get familiar with you. So please go over your recent results.
Great. Yes. So I became interested in the foundations of physics as a student at university.
I had a teacher, Luis de la Peña, who I enjoyed. He was teaching me quantum mechanics. And I
particularly liked his class because he talked
04:30 - 05:00 a lot about interpretations of quantum mechanics.
So I was really fascinated with that. He was very generous because at some point I approached
him and I said, you know, I want to work with you on this topic. And he said, you know what?
It's been very difficult for me. It's been a really difficult path and I don't want that for
you. So I would suggest work on something more sort of mainstream. And if you're still interested
when you're grown up, let's say, you can come
05:00 - 05:30 back. And I think that is somehow related to what
you're saying, that he took a different path and he found it extremely difficult and he wanted to
spare me of that. I think he could have just said, yes, great, you know, a good student, come and
work with me. And instead of that, I think he was very generous by saying that. So I approached
him also because I wanted to go to Fermilab.
05:30 - 06:00 There was like the possibility, a competition
to go and spend the summer there. And I asked him for a reference letter and he said, why would
I give you a reference letter? And I said, well, because you know, I got like A's in all your
classes. He said, well, many students do that. And then from there we just went on talking. And
what I told him was that I was finishing my degree
06:00 - 06:30 and starting to see what I wanted to do. And I
mentioned to him that all of my classmates that were interested in theory were actually going into
string theory. And that I actually, when I learned about string theory, like all of my classmates,
I was absolutely fascinated with it. Now this, I think this is a beautiful idea that we treat
particles like point, point like systems. And
06:30 - 07:00 then the idea that there is another dimension
or more dimensions, there are strings and how you could unify the notion of different particles
in this way is beautiful and I loved it. But then once I got more into it and, you know, sort of
issues started to pop out, especially the many dimensions, then I thought, this reminds
me of the epicycles. And let me explain, you know, what I meant. So I'm sure that most of
people in the audience are familiar with this,
07:00 - 07:30 but back in the time, people wanted to describe
the trajectories of planets. But back then people used to think that they had to follow, nature had
to follow circles because circles is the perfect figure. It's a shape. It's really interesting
how we get into these ideas and we get so stuck in them, right? And those are the ones that don't
let us make progress. So we can come back to that
07:30 - 08:00 maybe later because we've been trying to unify
quantum mechanics and general relativity for more than a hundred years. And we're probably
stuck with something equivalent to the perfect figure and we're unwilling to let go of that. And
maybe we can talk later about that because there's like some ideas. Actually, I think that maybe even
consciousness could be sort of something missing
08:00 - 08:30 in the equation, let's say. LRW Oh, yeah. HG So
if you try to describe the trajectory of a planet using circles, well, first one was not possible. I
remember I also heard you talk about how you get a problem and boom, you bang it and you fix it and
then another one comes out and you bang it, no? LRW Right, right, the whack-a-mole. HG Exactly.
Yeah, so you do that with the circles and okay,
08:30 - 09:00 you add another circle and that doesn't work
that well, so you add another one. And well, back then people used to need something like 600
circles to more or less describe the trajectory of a planet. And then came Kepler and says, they're
not circles, they're ellipses. And boom, no more necessary to hit things with a hammer anymore, it
just falls in everything beautifully, right? So
09:00 - 09:30 when I looked into string theory with a bit more
detail, not much, I very soon felt this reminds me of the epicycles, it can't be right. And I
told that to my teacher, to Luis de la Peña, and he smiled and he said, I'm going to give you the
reference letter where you want to go. HG That's interesting. What was it specifically about what
you said that changed his mind? LRW Well, I think
09:30 - 10:00 he liked that I was so in a way critical of string
theory and that I was not going where everybody else was going, because I just had a feeling
this is not right. HG Now, didn't he mean to go into string theory when he said that you should go
into physics in a more mainstream manner? LRW No, then let me tell you what that is, because that
was another important point. When I was finishing my degree, I think also like many students, I
was also sort of in love with astronomy. Now
10:00 - 10:30 that's always like many students go also in that
direction, because it's just so attractive. And I did an undergraduate thesis on Seyfert galaxies,
and I enjoyed that very much. But after my work, and even my first paper is on Seyfert galaxies, I
thought, well, I could spend the rest of my life studying these beautiful objects, but something
is missing. I didn't have it sort of very, I was so aware of it like I'm now, but what was
missing for me was that studying these beautiful
10:30 - 11:00 objects, I felt were not really bringing me to the
point of asking questions like, what is the fabric of reality? HG Ah, okay, okay. So something was
missing, not with the galactic data, but with what even the most ideal answer to any astronomical
question could provide to the foundational aspects of the questions at your heart. Okay.
HG Yes, yes. Somehow I felt like studying,
11:00 - 11:30 I could spend my whole life studying Seyfert
galaxies, and that would probably be a lot of fun, and I would get some, you know, I already had
like a really good paper, it was a letter and everything. But I felt like I'm not going to be
able, if I go in that direction, to really focus on the questions that I'm really interested in.
And I guess, you know, like I was more interested in understanding sort of more foundational
questions like deeper, what is reality about?
11:30 - 12:00 So I was in the cafeteria at the university, and
suddenly a colleague of mine, I'm still working with him, Pablo Barberis, ran into the cafeteria
when I was doing my homework, and he said, they demonstrated quantum teleportation. And I was
like, what? That was Anton Zeilinger's experiment. But then it would play a role in my life as
well, because I ended up being a professor,
12:00 - 12:30 a visiting professor in Vienna within that group
for three years. But well, back then it was like, oh, some people in Europe demonstrated quantum
teleportation. And Pablo also told me, you know what, they also managed to trap single particles,
single atoms, in an ion trap and in a cavity. And I remember my teacher, Luis de la Peña, used to
say, quantum mechanics is a theory that doesn't
12:30 - 13:00 apply to single particles. In experiments, we're
always doing experiments with an ensemble and many particles and stuff like that. So then when I
heard that, I said, okay, that area is going to get super interesting, because if now they can do
experiments with single atoms, we will be able to address some of these fundamental questions. And
that's where I thought, okay, that's the right thing to do. So I had already a little bit talked
to Luis about that. And when I told him, what
13:00 - 13:30 about quantum optics? He said, that's excellent.
So I went to Imperial College to work in the group of Peter Knight, with the idea of doing quantum
optics. And when I arrived there, everybody was working on quantum information and entanglement
measures and so on. So I ended up doing a PhD in, let's say, in the interface of quantum optics
and quantum information. That went really well.
13:30 - 14:00 I did very well. And then from there, I went to
do a postdoc at the Perimeter Institute. Yes, my neighbor. Yes, exactly. You're in Toronto,
right? When I arrived there, it was really exciting, because I think I was the first or the
second postdoc to arrive there to work in quantum information. The Institute wasn't established as
it is now yet. The building was like the old post office in Waterloo. It was so cool. We had sofas
and a bar and a blackboard, and we sit at home. It
14:00 - 14:30 was really a fantastic experience. But when I got
there, there was one group in quantum information, very small one. And then there was string
theory and quantum gravity and foundations of physics. So we were such a small group. I
started to attend the seminars in gravity and
14:30 - 15:00 quantum field theory and curved space. I got very
jealous. I felt very jealous. I thought, oh gosh, I'm missing out on something. Because you were in
the quantum information section? Yeah, and people in quantum information were talking about quantum
cryptography. The idea of quantum cryptography is beautiful, but if you work on that, then it's
again like, oh, how do you make a hack and how
15:00 - 15:30 do you fix it? And again, you get lost in those
things. And I was thinking, no, no, no, this is really not for me. So I thought maybe I change and
I work on general relativity. But I had already made a few jumps. No, I went from astrophysics, a
paper there, to quantum optics, and then I have a paper on quantum computing. What am I going to do?
And I thought, well, maybe it's not a very good idea. And I started, without knowing this was kind
of a new thing, I started like the, in a sense, as
15:30 - 16:00 a young researcher, I started to mix them. So I
wrote a paper that's called Alice Falls into a Black Hole, Entanglement in Non-Inertial Frames.
Okay. That really, that's been, it's my most cited paper. Wow. And it really sort of opened a
door for me, let's say, in the scientific world, because you were also talking about how difficult
it is and how competitive it is to get you know,
16:00 - 16:30 a name and known and a position and so on. So
what I did is that I applied what I had learned in Imperial College about measures of entanglement
to quantum field theory in curved spacetime and to eternal black holes and so on. And it was a very
new thing to do. Now there's like a field more or less established in that direction that people
call it relativistic quantum information. So
16:30 - 17:00 I was having a great time working on that. But
it was all very academic, you know, it's like, oh, entanglement in black holes and things like
that. I still felt that I'm now getting lost in maths and getting lost in maths. When you say
it was too academic, you mean too theoretical, removed from experimental underpinning? Yes,
exactly. Yes. And then I got into this idea that, you know what, I want to like, bring this stuff
to a point where I can do an experiment. I mean,
17:00 - 17:30 of course, not me, I'm a theoretician, but propose
an experiment. So I hired a postdoc. His name is Carlos Sabin, who was someone doing theory, but
very close for experiments. And he was working with superconducting circuits and stuff like that.
And it was really funny, because I just thought I didn't even have a clear idea of how we would
get there. I just said, this is where I want to go. And we together started to work with quantum
metrology, applying it to quantum field theory in
17:30 - 18:00 curved spacetime. So now that's going to go into
my slides. Sorry for the super long introduction. But I thought it was relevant to what you were
talking about recently. And I actually managed to start proposing experiments. Some of them,
at least partially, have already been tested, you know, and the experiments have been done.
And that became sort of my path, studying
18:00 - 18:30 quantum and relativity, but really proposing
experiments. I was not working in unification, because I was working with quantum field theory
in curved spacetime. So I'm going to tell you a little bit more about that in a moment. And then
by doing that, that finally brought me to an idea that is my own, inspired by the work of Roger
Penrose, who I talk to him very often. And then
18:30 - 19:00 I managed to kind of come up with a theory that
can be tested in the experiment, and we're going to do that very soon. So that's kind of the story
of why my talk, which is also about unification, comes from a very different perspective. It comes
from someone whose background is in quantum optics and quantum information, and looking at
experiments and sort of trying to see
19:00 - 19:30 what we can learn from these theories and their
interplay, and try to make theories informed by the experiment. Wonderful. Thank you for that
introduction. I have two quick questions. Maybe they're addressed in the talk itself. So you
were in, firstly, astrophysics, then you went to quantum information, then you saw some talks on
general relativity, and you thought maybe you want
19:30 - 20:00 to go into that field. But you said it would be
too much of a jump, of you jumping back and forth. But would it be? Because astrophysics, does it not
already use general relativity? So how much of a jump would that be? It would be like jumping
backward rather than jumping to the side, no? Well, it could have been a bit like jumping back,
but the work that I was doing in astrophysics was not really related to general relativity
directly. I was doing statistical studies on
20:00 - 20:30 how companions of sefer galaxies could trigger the
material of the galaxy to go into the black hole, and so on. So yeah, I guess because of the type
of analysis that I was doing, it would have been like another jump. Okay, okay, cool. And then now
you also mentioned that you work on quantum field theory and curved spacetime. Now some people would
see that as unification because general relativity
20:30 - 21:00 has something to do with curved spacetime.
So can you please delineate those two? Yes, actually I'm going to do that in my slides. Great.
But very quickly, that's the beauty. The beauty of quantum field theory and curved spacetime
is that it allows you to study some, let's say quantum effects and relativistic reflex
theory interplay in some scales, but it's not the full theory. It doesn't resolve actually
what I think is the most interesting question. So yeah, let me get started and I'm going to get
there very, very soon. Wonderful. Take it away.
21:00 - 21:30 The floor is yours. Okay, thanks. So yeah, there
are many fundamental questions that are unanswered and very interesting ones. And I wrote in this
slide just a few that I find fascinating and maybe some of them I work on as well. So for example,
what is the nature of dark matter? That is a big one. So yeah, well questions like, is dark energy
driving the accelerated expansion of the universe?
21:30 - 22:00 What's the physics of the very early times and
cosmology? Does the equivalence principle hold for quantum systems? And so on. There's many, many
interesting questions and fundamental physics that don't have answers. And underpinning our
difficulties to find answers to these questions is our difficulty actually to unify quantum mechanics
and general relativity. I went to a conference a
22:00 - 22:30 few years ago and it was all about how can we use
quantum experiments for fundamental physics and many of these fundamental questions came up. And
then someone in the audience, a colleague of mine, got up and said, well, but nobody is addressing
kind of the elephant in the room. What's the elephant in the room? So that, you know, we for
more than a hundred years have tried to unify
22:30 - 23:00 quantum physics and general relativity and they're
incompatible. So how does that affect all these other interesting questions? And then that's where
I think I felt, yes, that is a real interesting question to answer. So this is like the very
typical cube that one sees in theoretical physics, but I just, you know, a bit designed in
a different way where you have relativity on one axis. So that would be C, the velocity of
light, then gravitation on another dimension that
23:00 - 23:30 would be the gravitational constant G and then
quantum physics would be H bar. So this cube here, I'm trying to show that, well, we have some pieces
of the puzzle. So there are parts of the theories that kind of answer some of the questions or work
well in some scales. And we have a lot of work
23:30 - 24:00 done in the last years in different pieces of this
puzzle, but we don't have the whole picture yet. So quantum field theory and curved spacetime
I would say is like one of these big pieces of a puzzle, but it doesn't do the whole thing
yet. So I'll go into why not in a moment. Okay, so this actually title of this slide, should we
quantize gravity or gravitize quantum theory comes
24:00 - 24:30 from Roger Penrose. And what he means by that is,
should we keep the principles of quantum theory and modify general relativity? That's what we
understand more by quantum gravity. Or should we do the contrary, keep the principles of general
relativity and modify quantum theory? So I guess, you know, like most people working on unification,
maybe follow the first line of quantizing gravity.
24:30 - 25:00 But Roger thinks differently, thinks that
quantum theory has a problem anyways, which is the measurement problem. So he supports more,
let's say, the root of keeping the principles of general relativity, and then trying to modify
quantum theory to bring them together. Now we
25:00 - 25:30 both agree that it's more likely you have to
modify both of them. But let's say Roger would always give more priority to general relativity in
that sense. So I was writing here in this slide, like a few things about both theories. So let's go
first to quantum theory, like same as in classical physics, time is absolute in quantum theory. So
clocks tick at the same rate for any observer
25:30 - 26:00 independent of its state of motion. And this
comes from the theory of being invariant under Galilean transformations. So the underpinning
transformations are Galilean transformations, just as in classical physics. So in the same, know that
inherits that space and time are very different notions. The Schrodinger equation treats space and
time completely different. It has one derivative
26:00 - 26:30 in time and two in x. It treats time like a
parameter, and then positions can be quantized, and you use operators which are completely
different mathematical structures. So then already from there, they would be incompatible with the
relativity. And just for some clarification, quantum theory means quantum mechanics and not
quantum field theory. Yes, yes. I guess because of my background, I use that more when I say
I like to use actually more quantum physics,
26:30 - 27:00 but that I'm just talking about Schrodinger
equation, fields is like a step more, you know, yes. Well, then in quantum theory, we have the
superposition principle. So particles can be in a superposition of two distinguishable locations at
a time. And then, well, this is what Roger calls,
27:00 - 27:30 well, many people call the measurement problem,
but in quantum theory, the outcome of measurements is probabilistic, fundamentally probabilistic.
And then when we want to measure, let's say, space or time, we have an uncertainty principle
that tells us that if you measure positions very precisely, then you cannot simultaneously measure
momentum and so on. Also, it's kind of a bit of a
27:30 - 28:00 summary of some of these, let's say, fundamental
principles of physics. Then on the other hand, in which way they're different and why are
they incompatible? Well, in relativity, time and length are not absolute, are observer
dependent. So the underlying transformations in relativity are Lorentz transformations. And if
you look at that, they mix space and time. So
28:00 - 28:30 let's say the more radical thing I think that we
learned from Einstein is that space and time are not different in the way that we understand them
in classical physics and also in our experience, right? If you tell anyone space and time are a
bit of the same thing, people would be shocked with that. But that's what Einstein showed us,
that they actually belong together in a higher dimensional object, which is space-time. And
they're both dependent on the state of the
28:30 - 29:00 observer. And then you have in relativity, if you
have gravity, for example, it curves space-time. And then if you look at two different points in
space, you can see that time flows at different rates at different points. So already there
you can see that in relativity, you have to
29:00 - 29:30 treat space and time on an equal footing. So let's
say equations, if you have that, you're having a second derivative in space, you should also have
a second derivative in time. So you can already see how that is already incompatible with quantum
theory. And so, a little bit also the question of time is at the heart of our difficulties to unify
the theory. And then you could think about things,
29:30 - 30:00 how would you see if a mass is in a superposition
of two different locations, and then time flowing at different rates? I mean, the Schrodinger
equation has only one derivative in time, it's one time. You cannot think about such questions
yet with the theories that we have currently, no? Another thing, well, just to finish with
the slides, in relativity, we don't have this
30:00 - 30:30 thing about the outcome of measurements being
probabilistic, but it's a deterministic theory in that sense, and we can measure space and time
as precise as we want. But well, in my opinion, the most interesting question that we have
to answer is what happens when we have a massive superposition, where the mass is in a
superposition of two different locations in space.
30:30 - 31:00 And this is something that you cannot answer
with quantum field theory in curved spacetime, because, well, I'm going to go more into that
later, but the theory assumes that you have a fixed background, so a fixed spacetime metric,
which is a solution of Einstein's equations, but the fields themselves, or the mass itself,
doesn't curve it. So you couldn't answer this
31:00 - 31:30 question. I think this is really an interesting
and important question, because we know, for example, from the experiments, that you can
have the electromagnetic field in a superposition. So you can take an electron and put the electron
in a superposition, and then you can see that the quantum fields generated are in quantum
states. So we were talking about quantum optics,
31:30 - 32:00 and quantum optics has been a theory that has
been tested in many, many experiments. And we know that the electromagnetic field can be in
quantum states. And now the big question is, can gravity also be in a quantum state in this
sense? And well, if the mass is very small, well, yes, because the moment that we have,
let's say, an atom in a superposition, in a way,
32:00 - 32:30 the gravitational field produced by the atom
is also in a superposition. But I think the big question is more if that's a stable situation or
not. And that's where Roger, and I'm going to go more into detail of that, comes in and says, well,
you can, but that is a very unstable situation, and gravity collapses the wave function, which
would then resolve the measurement problem.
32:30 - 33:00 And that would explain more like the transition
between the classical world and the quantum world, that would explain why we don't see, let's say,
this cup in a superposition of here and there, and so on. I'm going to talk more about that in a
moment. But I guess my point here is that I think this is the most interesting question to answer.
And there are good reasons to believe that gravity
33:00 - 33:30 could act different to the other forces. And
that is because gravity is the only one that has an equivalence principle. So there is not an
equivalence principle for the others. So in the equivalence principle, if you're in a lift and you
don't have any way to look at what's happening, so in a box outside, you could not distinguish
when you feel an acceleration if that is because you're in the presence of a gravitational field
or just because the box is being accelerated.
33:30 - 34:00 And that is something that is specific from
gravity, and that could distinguish gravity from the other forces. So that is something also
that Roger argues that might hint at gravity being fundamentally different. Okay, so I mean,
obviously the question is very important per se, but also, as I said, it underpins other very
interesting fundamental questions in physics. I
34:00 - 34:30 found this picture, the one with the stars and so
on, online. It's a very famous one. Actually, you know, one of the things I lost, because I lost my
talk just a few moments ago, were all the credits to the images. So I'm sorry I had done that
detail and so on. But when I saw this picture, I liked it very much. And it made me think about
how was it when we were trying to make sense of,
34:30 - 35:00 let's say if you want cosmology, of where are we?
What's this, let's say, world that we're seeing? What are those points in the sky that appear at
night? In a way, what's the universe? And so on, without instruments, you know? So I can imagine,
I like to have a romantic image of that, of, you know, people sitting around the fireplace looking
at the sky and trying to make sense of where are
35:00 - 35:30 we. Without the telescope, you can imagine how
hard that would be and what sort of theories humanity came up with when the only possibility
was to use our own instrument, that are our eyes, and look at the sky. Then Galileo invented the
telescope. It's very interesting that as well, that when Galileo invented the telescope,
many people didn't want to look through it. And that also makes me think about a lot of the
stuff happening in science where people sort of
35:30 - 36:00 refuse to look at certain theories. That reminds
me, I also heard you talk about that, and you were talking about, well, I mean, if you're working
in string theory or in quantum gravity, don't you have sort of the moral responsibility of looking
at what other options are there? Yes. Right? And that, I think it's like refusing to pay attention
to competitive theories or other ideas. I think
36:00 - 36:30 it's a little bit equivalent, like refusing to
look through the telescope. Interesting. Now, somebody else comes with a new invention and
says, look, look at what's happening. You say, no, I don't want to even look. But that
happened. Now, since then, telescopes have developed incredibly. We have amazing, like the
latest pictures that you see are just like amazing what they can do. But well, now with very good
instruments, we could look at the sky. We can
36:30 - 37:00 look really into the past of our universe and then
see that, oh, wow, it looks like the universe is in expansion and so on. And we can come up with
more meaningful theories, with better theories, thanks to those observations. Same if you think
about the microscopic world. So the Greek came with the idea of the atoms. But again, it's not
until you build a microscope and you can look
37:00 - 37:30 into the microscopic world that you can do better
atomic physics. So I'm trying to make the point here about how important have instruments been in
us making better theories and understanding things better. Right? So when it comes to these scales
where quantum mechanics and general relativity interplay, we're blind. We don't even have
our instrument. We don't even have our eyes.
37:30 - 38:00 We don't have anything. So how do you go about,
right, when you do that? So I think I understand string theory and loop quantum gravity and many of
these very mathematical approaches in that sense is that you do what you can when what you have at
hand. And what we're able to do is super powerful studies with mathematics because our mathematics
is very developed. And you were also talking about
38:00 - 38:30 that, how actually string theory has allowed
mathematics to develop so much. And so much we've learned about mathematics thanks to those
theories. But when you come up with theories and mathematics, well, there's many possibilities.
You can make many theories, almost as many as you can think about. But which one is the right
one? You know, I can make a theory, but then I
38:30 - 39:00 need to see if actually nature behaves like my
theory predicts. Right. And then I can have a competing theory, a different one. And which one
is the right? Maybe even contradicting the two theories in principle and their predictions. How
do you know which one is the right one? You need to go to the experiment. You need to go to those
instruments. And we, well, I'm going to argue that we sort of have them already. And we need to
start looking through them for resolving these
39:00 - 39:30 questions of unification. All right. What I think
we want to do is to get into this cycle in which, let's say, you come up with an idea. So this would
be philosophy and creativity. So going back to the example of the atoms, right? So the Greek came
up with using philosophy and creativity and so
39:30 - 40:00 on with the idea that there must be something in
matter that you cannot keep dividing. So there must be this unit and the idea of it cannot be
divided anymore. So the idea of an atom. Then, well, if you want to observe an atom,
well, that's like a really long way around, right? But you have to do some theory about what
is an atom. So, well, a very, very long time after
40:00 - 40:30 people started to develop better theories of
the atom, or for example, I don't know, the pancake theory where you had some electrons, like
raisins in a pancake, or even better, Bohr's model where you have the nuclei and the electrons going
around like if they were planets around the sun, right? So you need to create some theory so that
you can build an apparatus and then observe this
40:30 - 41:00 idea that you had that there's atoms. Because you
cannot build a machine or propose an experiment or develop a new sensor without some sort of theory.
Your theory might be wrong, but at least it gives you a starting point to say, okay, now I'm going
to build this machine. Then you build, let's say, the microscope, and you look through it, and then
you get some sort of signals, and at some point,
41:00 - 41:30 like detectors click or something like
that, and you say, oh, there's my atom, right? And then you might then find out that your
theory was actually not very good, but then you can improve it and modify your apparatus, and then
you get into this really good cycle where you can start making better theories all the time and
verify them into the experiment. So this is what
41:30 - 42:00 happened with quantum optics. It seems like this
is what happens with the general theory. So if I'm understanding you correctly, it sounds like what
you're saying is you're initially on your couch or in your shower, an idea comes to you, it's
an intuition, you then formulate it with words, natural language, you then have to formulate it
into mathematical language, and then you have to check that against quote-unquote reality with an
experiment. Yes. So you propose an experiment, and the experimental proposal, that's what
I work a lot on in experimental proposals,
42:00 - 42:30 is also mathematical, right? I have to write down
my theoretical proposal. This is your Hamiltonian, and these are your measurements, and this is the
precision, and I claim that you should be able to build this device, and I'm going to show you
one of my works in that talk about, of course, of my proposals to do that, and then you need to
build it and then check. Okay. And you were giving
42:30 - 43:00 a specific example in quantum optics? Please
continue. Well, with quantum optics, there's this very healthy cycle, and I think that's why there's
been so much progress in quantum technologies, is because this happens all the time. People
come up with an idea for a sensor, and they write papers about it, they make a proposal,
then an experimental group gets a hold of it, they work together, and boom, they show that, and
there comes again the cycle, and it's a wonderful field. And I think I was used to that, so when I
started to work on Alice falls into a black hole
43:00 - 43:30 and entanglement in black holes, I was like, oh,
gosh, I can't check if what I propose is correct, because there is no way to make a measurement in
a black hole. And that's how I started to say, no, no, I want to do theory that it can actually
still work at the interplay of quantum mechanics and general relativity, but that I can test in the
lab. So that's my group, and most of the last, I
43:30 - 44:00 don't know, maybe 15 years, that's what I've been
working on, on trying to propose experiments or develop new sensors that will reach these scales
where quantum mechanics and general relativity interplay, so that we can then get into this
cycle. And what is FP? GR, quantum theory, oh, I forgot, what did I put here for, it's an old
slide, so quantum theory for sure, GR, and oh,
44:00 - 44:30 fundamental physics, it's fundamental physics,
yeah, maybe that's a really funny figure. Okay, so when I was at university, and I learned about
quantum mechanics and general relativity back in the day, well, for example, Luiz de la Peña
would say, quantum mechanics only applies to a few particles at very small scales, so where
electrons and atoms live. And general relativity
44:30 - 45:00 applies to the large scales, starting with
actually, from GPS, to get the precisions we have, we need to make corrections to general relativity,
so the proper time on Earth is different from the proper time in a satellite, and you need to
make corrections to have the precisions that we have in GPS. So it would start, let's say,
from those kind of scales onwards, I mean, we
45:00 - 45:30 know that general relativity doesn't really apply
to all these scales, because the rotating curves of galaxies, the observations there contradict the
predictions of general relativity, and from there, the whole idea of dark matter comes about, so it
doesn't really apply. But let's say, generally, you're a student, and you're told quantum physics
applies to the very small, and general relativity to the very big. Now, because of this circle that
I was telling you about, now, the experiments in
45:30 - 46:00 quantum technologies, they developed amazingly,
and now it completely challenged this picture, and I want to tell you a lot about that. So
I'm going to talk about three things. One is long-range quantum entanglement, so what are
the longest distances at which we can prepare superposition states, or entangled states, and
so on, and how can we study such situations,
46:00 - 46:30 and what can we learn about the interplay
of quantum mechanics and general relativity through long-range quantum experiments. Then
high sensitivity, actually, when I started to work on using quantum theory, I wanted to
measure some relativistic effects. Some of my colleagues in general relativity were laughing
at me, because they were saying, well, you know,
46:30 - 47:00 at small scales, forget it, space-time is a bit
flat. It's completely flat, sorry. You won't see anything. I'll show you that that's not true. And
these are already experiments that have reached relativistic effects, we're just not looking
through the telescope right yet, because, well, I'll tell you more when I get there. The one that
hasn't gotten to scales where gravity kicks in,
47:00 - 47:30 in an important manner, is large mass quantum
experiments. So I also want to tell you about the progress in that direction, and how far
we are from being able to see, for example, if gravity indeed collapses quantum superpositions
and so on. I have a quick question, if you don't mind. So with GPSs, they're using an atomic clock,
I presume, which is something that's a quantum phenomenon, and then they have to correct because
of general relativity. So do people see that as an
47:30 - 48:00 interplay between general relativity and QFT, or
quantum mechanics there? I don't want to actually go into the details of the question that you just
asked me, I have a slide on that, so it's like a really question right to the point. But the short
answer now is that people brush the questions, in a way, out. They find solutions, which I don't
think are solutions, but they're like, let's say,
48:00 - 48:30 well, they maybe approximately work, but actually
are not the right thing to do if you want to be, let's say, rigorous with what you're doing. And
actually, that gives you the opportunity to answer the these questions. So I'll go, I have a slide
on that, exactly, the question that you're asking me. AG Great, we think alike. HL. Yes, I noticed
that before you from the podcast, in many ways,
48:30 - 49:00 actually. AG Cool. HL. Okay, so let's talk about
the long-range experiments. When I was a student, you know, when Pablo came, my colleague, into
the cafeteria and told me they demonstrated quantum teleportation in the lab that
was in Vienna, that was Anton Zeilinger, it was in a tabletop experiment. So you have like
a table that could fit in in this room, let's say, with mirrors and lasers and so on. And that's how
experiments look like in those times. Then Anton,
49:00 - 49:30 some years later, wanted to see how big can the
distances, can the experiment grow such that you still have entanglement. So this is entanglement
between photons. Okay. And he was able to demonstrate entanglement across two different
buildings in Vienna. So well, that was very promising. So he said, well, let's keep going. And
then in 2011, he was already doing the experiment
49:30 - 50:00 across 144 kilometers in the Canary Islands. AG
Oh, so they're not physically connected tubes that connected the two buildings, nor in this
1,000 kilometer case? HL. Well, there are many experiments that are connected by a waveguide.
People do experiments like that. But no, these are like free space experiments. AG Interesting.
HL. Yeah, they're beautiful. They're very, very
50:00 - 50:30 interesting. So Anton had a student from China
who then moved back to China. And then, you know, he's made a lot of progress there. And together,
they launched a satellite, which is called Micius, which is completely purposed to study quantum
entanglement and teleportation and cryptography
50:30 - 51:00 and so on. So this was, they launched it in
2016. And then they've demonstrated entanglement across thousands of kilometers. So that's very
interesting, no? Because this whole notion of quantum mechanics applies to very small scales.
Now we see that that's not the case. Well, of course, photons are, you know, they're not massive
systems or anything like that. But already, I think this starts showing that this division
of what are the scales where quantum applies and
51:00 - 51:30 where it's different, maybe in some senses, as we
first thought it would be, no? But well, I mean, what's very interesting is like, as I mentioned
before, at the scales where satellites operate, relativity kicks in. Again, the proper time of
clocks measured on Earth is different to the clocks that you set that are in a satellite.
So you have to take into account at least a
51:30 - 52:00 gravitational redshift. So this is like a special
relativistic effect, but more than that. So that is something that I've been very interested in.
I have a whole series of papers that use quantum field theory in curved space-time to describe
the space-time of the Earth using, for example, the Schwarzschild metric, which can be applied to
this case. And then you describe the photons and
52:00 - 52:30 the quantum states that travel from Earth to a
satellite or between links and between different satellites. As using quantum field theory in
curved space-time, you can solve the equations and then construct wave packets and study how the,
let's say, if you send a wave packet from Earth to a satellite, how would this be modified due to
the curvature of the space-time on their light?
52:30 - 53:00 So this is no longer just special relativity using
gravitational redshift. That was what people were using. We showed that if you use quantum field
theory in curved space-time, you could actually go beyond that and really see how the curvature
of space-time affects the, for example, we wrote some of these papers and we said, this is what
the curvature, how would it affect, for example,
53:00 - 53:30 quantum teleportation or quantum cryptography.
And then you could turn things around and use the fact that these states are modified to actually
estimate the space-time parameters of the Earth using quantum metrology. LWR Okay, cool. HL. So
that's an area of interest, and I've written a series of papers in that direction, more or less,
trying to answer these sort of questions. But you see, these are experiments that already are
taking place. And actually, there was a group
53:30 - 54:00 working in Germany that once the whole group came
to visit mine, because they had some results they were not understanding, and they, using just
the gravitational redshift, and they wanted to see if there was more to be understood from our
work. So this is, yes, an instance where you do see that some interplay between quantum states
and the space-time of the Earth, the experiments
54:00 - 54:30 reach those scales, but there's very little apart
from our work. I don't see that there's many more things, or the experiments actually, they take
into account the gravitational redshift, but they still have to test these sorts of things. Now,
quantum field theory in curved space-time has not
54:30 - 55:00 been demonstrated in the experiment. Quantum field
theory, yes, I mean, so many times that's what CERN and Fermilab and all of these experiments
are about. But when you have gravity included, it still needs to be demonstrated. So some
of these predictions that we make could start giving you some hints that quantum field theory in
curved space-time, let's say, it's a good theory for these scales. It would be very nice to check
that. So for the audience member who's thinking,
55:00 - 55:30 how does this work logistically? Do you have to
petition for time from this satellite, or do you have to ask the people who are in charge of the
satellite to perform an experiment? How does it work? Well, I actually belong to a group that was
sort of a consortium in which they worked together with the theoreticians, with the experimentalists,
and the group sort of discussed about which would
55:30 - 56:00 be things that would be interesting to
study. So the theoreticians would say, well, we would like to test this theory.
Let's say I had a colleague, Tim Ralph, who came up with a new theory that used quantum
field theory in curved space-time, but went beyond that and took into account closed timelike curves.
And then he proposed an experiment. And then the
56:00 - 56:30 group found this interesting from a theoretical
point of view, but the important thing there was that the experimentalists found it feasible to
do the experiment, and the experiment was done, and the experiment didn't find evidence of this
sort of new theory. But you see, that is the sort of thing, that's great, that's the sort of thing
you want to be doing, that people are creative, come up with new ideas, again the circle, cast
it in language first, then in the language
56:30 - 57:00 of theoretical physics, which is mathematics,
make predictions, the experimentalists go test, and they say, well, yes or no, and then you go
on. So I think that there are groups like that, and usually also what we do is that we get
together, theoreticians with experimentalists, and make a proposal that might or not get
funded. Of course, with space-based experiments,
57:00 - 57:30 it's more complicated. I have actually been
approached by NASA a few times, and they asked me, do you have an experiment that you think we could
do? But the things I've been working on lately are more things that you could also test on Earth. And
then you need to justify the expense. But well, I did point out to these papers, and I said,
well, I think it would be great if you could test some of these. But I haven't heard like, oh yes,
we're doing it, or anything like that yet. Okay,
57:30 - 58:00 so now we go to the clocks question that you were
asking me, and the very small scales. So yes, like you were saying, quantum clocks are the most
precise clocks that we have, and actually, that is what we use to distribute clocks in the planet.
You need to synchronize very well computers, and
58:00 - 58:30 airplanes, and all sorts of things that we need
a very, you know, for our instruments, we need very precise ways of measuring time, and these are
done by atomic clocks. So, you know, very roughly, how would an atomic clock work is that you
have many atoms here, for example, strontium, trapped in an electromagnetic potential. So
the sample could be like atoms that are cold, so that means they move very little, and they're
within some sort of volume, so typically like a
58:30 - 59:00 millimeter, and so on. So the energy levels, the
internal energy levels of atoms are very sharp. So let's say between the ground state and the
excited state, the energy is very precise. So you can use this as a frequency standard that
gives you like the ticks of the clock very precisely. So you shine a laser, and you excite
the atoms, and so on, and well, that's more or less what you use. So there was this beautiful
experiment done many years ago by Dave Wineland,
59:00 - 59:30 who got the Nobel Prize for trapping irons
in an ion trap. He did this experiment after, in which he would take an atomic clock and then
sort of put another one, or just move his clock upwards. I'm not sure actually what he did, but
he demonstrated time dilation at 33 centimeters.
59:30 - 60:00 So before we know, okay, we can see time dilation
if we're in the Earth and then in a satellite, we know that. But now he said, look at these scales
of 33 centimeters, you can see time dilation already. And that time dilation is just due to
the gravitational potential difference? Yes, due to the Earth, just from the gravitational field
of the Earth. So basically, you're demonstrating that the space-time is curved. So that's really
amazing. I mean, these clocks are super precise.
60:00 - 60:30 They have like a systematic uncertainty of they
can reach 10 to the minus 18. That means that the error is one part in 10 to the 18. So that would
be more or less like in years. I used to have it here because I forget, but the clock would lose
precision, would lose one second in something like
60:30 - 61:00 13 billion years. I had the number here exactly,
but I now lost it. But more or less, that precise they are. And that's what I was telling my
colleagues in general relativity that found it funny that I wanted to measure this curvature
of things. I said, no, look, I mean, these things are so precise that it's not unthinkable that we
can actually measure general relativistic effects at very small scales. So I was talking to Patrick
Gill. He's a colleague of mine who works at the
61:00 - 61:30 National Physics Laboratory. So that is like the
institution in the UK where they do all these, with the Metrology Institute, where they do all
these standards of frequency and the different units and so on. So he's working with the quantum
clocks with Helen Margolis and so on. And I was telling them, you know what, soon you're going
to have a problem because you're going to get
61:30 - 62:00 that the proper time at the bottom of your sample
with the proper time at the top is going to be different. And he was saying like, yeah, but we're
not too worried about this now. And so six months later, exactly that happened. Two papers came out
showing that they could see time dilation. Well, first there was like this one centimeter and then
even in one millimeter. So now if you think about
62:00 - 62:30 the quantum clocks, the clock in the atoms in the
bottom see a proper time different from the atoms in the top. Yes. But okay, still, you know, people
working in clocks might not be that worried. When did this result come out? That must have been a
couple of years ago. Okay. So fairly recently, 2020s? Oh, yeah. Yeah. Maybe this is actually...
Look, this is from 2020. This paper I put here is one of the papers and it says published in
2022. I think it might have been submitted in
62:30 - 63:00 2020 or 2021, but it was published very recently.
Sure. It's still cutting edge. I see. So, okay. So it's not a problem as long as the atoms are
independent, because then what you can do, which is what we do with time dilation with GPS, is like
we know how that changes so we can theoretically correct for it. And then you just take that
into account and you don't have a problem.
63:00 - 63:30 Okay. But now people want to make these clocks
more precise and beat this one 10 to the minus 18 uncertainty by entangling the atoms. Because
we've showed in quantum metrology that if you have entangled atoms, you get, you know, a precision
instead of going like 1 over square root of n, it's 1 over n. It's called the Heisenberg limit.
And this makes things much more precise. Okay. So
63:30 - 64:00 if you do that, then you have a problem. Then you
bang your head with quantum mechanics and general relativity being incompatible. Why? Because what
time are you going to use? The proper time is going to be different in different heights. And
the Schrodinger equation on the left-hand side is like d and dt, an absolute time. So here you
have a relative time different at each height.
64:00 - 64:30 So which time you want to use? Okay. So again,
the experimentalists say, oh, we're not worried about it at all event because we just use the time
at the center of the trap. That doesn't work that well. And it's like a, it's a patch, but forget
about it. Let's say maybe for what they want to do, it's good enough. I don't know. But from a
theoretical point of view, this is not the right thing to do. But you're actually losing on the
possibility of learning what we should be doing,
64:30 - 65:00 because this is really a very good example where
you are at these stages where quantum mechanics and general relativity interplay, but we don't
have a theory to describe that experiment. So what I was telling, I recently went and visited the
group at NPL, at the National Physics Laboratory, and I was having a little like discussion
about this. And I was telling them, you know,
65:00 - 65:30 that we don't have experiments to address these
questions. And now you're having an experiment that actually is getting there. So let's use
this experiment to try. So you have a theory. That's good. The theory is that you're using
is that you say, well, I can more or less do with taking the proper time at the center of
my sample. Well, if you want to be rigorous,
65:30 - 66:00 really what you have is that you lost your notion
of clock time. And you need to come up with a new thing. But that is what opens the opportunity
of, you know, you came up with a theory, which is not very good, I think, which is measuring at the
center. Well, you mentioned theoretical problems, but it sounds like what you're describing
is more akin to missed opportunities for probing the interaction of general relativity with
quantum theory. Yes, both in a way, right? I mean,
66:00 - 66:30 what I was trying to explain to them is that as
a theoretician, we don't have a proper theory to explain your experiment. Now, your experiment is
an experiment, and experiment is the experiment, right? It's like in that sense, it's not wrong.
What is wrong is the theory that we're using to describe your experiment. But you need to start
somewhere. Again, the little circle that we talked about. So I start with a theory that's not very
good. Then you do the experiment. We look at the experimental results. And then I come up with a
way of modifying my theory. So right now, I have
66:30 - 67:00 a PhD student working on this problem that I like
very much. And we've made some progress before, not with atoms, but with light. I want to
show you more or less what we did before. Please. So Einstein came up with this idea of the
Einstein light clock. So basically, he used this idea of a clock to argue things for relativity
and so on. So he considered two mirrors and then
67:00 - 67:30 a photon bouncing back and forth. And that gave
you the tickings of the clock. And then he talked about what happens if you move this clock, and so
on. But now, we can use quantum field theory and quantum optics to quantize the idea of Einstein's
clock. So I've done that. I wrote another series of papers in that direction. It's to say,
okay, now I have two mirrors, but I have a quantum
67:30 - 68:00 electromagnetic field inside. So when you do
that, you get the field that you can write down as an infinite sum of different modes. So those
are states that are sharp in frequency, but the photons are completely delocalized in your box.
But you can use quantum field theory to describe that. So that was also a long journey, because
when I started to work with that, you could only
68:00 - 68:30 do this in flat space. And the only motion that
people could describe was a sinusoidal motion of the walls. And this was like the dynamical Casimir
effect. But I wanted to do more than that. I wanted to consider curved space from the Earth to
a planet and send a little box up to study how the curvature, the underlying curvature of the Earth
would affect the quantum clock, or how would an
68:30 - 69:00 interplay of quantum states with time dilation
would look like, and all that sort of thing. And gosh, that was really, really hard, because
solving those equations was very complicated. And what allowed me to make progress was working
with George Malouko, a colleague in Nottingham, where I used to work, who is an expert in quantum
field theory and curved space time. And then, well, we managed to come up with a new methodology
where we could now start, let's say, solving those
69:00 - 69:30 sort of problems in a more general way. And then
I had... A student and a postdoc that helped me generalize this to curved space and so on. And
then, so we've been now, we have a clock model, which is basically Einstein's light clock,
but with a quantum field. We fix a frequency, and the oscillations of the quantum states of this
frequency mode give you like the ticking of the clock. But now we can move that in curved space
and ask questions about the interplay of time
69:30 - 70:00 dilation with quantum things. And we found some
interesting things, like when you move the clock, due to things like called the dynamical Casimir
effect, you create particles, like photons inside the clock, and these affect time dilation. LWR
Interesting. HL. So it's kind of fun doing that. Again, I don't think you go to the
very fundamental questions by doing it,
70:00 - 70:30 but you start learning certain things. And one
of the things I was interested in is that, well, if you use these clocks to measure space and
time or time dilation and so on, because the state of the field is a quantum field, then you
start getting into these uncertainty principles, things that you can actually not measure space and
time with infinite precision. Like if you measure
70:30 - 71:00 time very precisely, then space is not, and this
sort of thing. So I wanted to explore more the constraints that you get in measuring space-time
by using a quantum system. LWR Usually when people speak about Heisenberg's uncertainty, they're
talking about position and momentum, and you're talking about space and time. HL. Yeah, they don't
go together. So you have energy and time, and then
71:00 - 71:30 momentum and position. LWR Yes. HL. But in these
clocks, you have an interplay of things. You have states that obey minimum uncertainty in space
and momentum, so they're called Gaussian states, coherent states. And then we move these in space,
and then you have constraints that come also from
71:30 - 72:00 the energy and the time. So I didn't kind of go
into much detail. I wasn't very precise when I said that. But you start getting the role of the
different uncertainty principles that you get from quantum theory, you know, playing a role in how
well your clock works and things like that, which is very interesting. LWR Cool. This work goes
back to 2014. HL. Yeah. LWR So I'll leave a link to all of the articles that have been mentioned in
this talk, either visually or just audibly, in the
72:00 - 72:30 description. So people, if you're interested,
you can read more. HL. Yes. This is how we got started. So this first paper was in flat space,
but now I think this is the latest paper that was published about clocks that was published in 2023.
There we can now, since we managed to, let's say, generalize our techniques to include curved space
time. I mean, it sounds simple, but literally
72:30 - 73:00 it took us more than 15 years to be able to do
that. And yeah, we're using quantum field theory in curved space time. So then we finally had some
theoretical methodologies that allow us to address that question. And what we did is we looked at
a clock, a light clock, but we now were able to describe the clock in the space-time of the
Earth, treating the space-time of the Earth with a Schwarzschild metric, and come up with a model of
a clock and discuss how the clock ticks and, you
73:00 - 73:30 know, talk about the Schwarzschild radius of the
Earth and how does this show up in the face of the clock and so on. So that was like, we then came
up with a notion of clock time. In this clock, at each slice within the clock, the proper time
is different. And we said, okay, but you could still build a clock by looking at the collective
oscillations. And that gave me an idea that, okay,
73:30 - 74:00 now maybe we can go back to the atoms and redefine
the notion of the clock time using the collective oscillations and so on. But a student of mine
is working on that and we're just starting. We don't really have much to say about the atomic
case yet. Okay, so now the last thing I want to
74:00 - 74:30 talk about with respect to these experiments
is math. So yeah, I was telling you how Roger proposed many years ago that if you have a massive
superposition, this is unstable. And he argued that by showing that there was a conflict between
the superposition principle and the equivalence principle. So he said, yes, you could have a
superposition of a massive system that, for him,
74:30 - 75:00 this would already be quantum gravity because
you have a gravitational field in a superposition of two different configurations. But these are
unstable and they decay very quickly and that is why we don't see superposition in the classical
world. So what kind of masses would you need in order to see if the predictions of Roger are
correct or not? Lyle Troxell Do you mind briefly
75:00 - 75:30 outlining why is it that the superposition
contradicts the equivalence principle or the strong equivalence principle? Yes, so he starts
by describing a mass that is in a superposition that is falling. And then he says, okay, if you
describe the situation from a Newtonian point of view, and he writes the wave function, and now
from an Einsteinian point of view, and he writes
75:30 - 76:00 a different equation. So he says, these wave
functions have to be the same up to a phase. No, because in quantum theory, states, wave functions
are equivalent up to a phase. But you see, his whole argument, I actually, I'm going to show
you a paper that I wrote with Roger in the next slide. And in that paper, we write an introduction
where we go through Roger's arguments. But they're
76:00 - 76:30 not necessarily simple. And one of the reasons
why is because we don't have a theory for that. So Roger makes arguments that are good arguments,
well-informed, but without actually having a theory. So sometimes the arguments are talking
about quantum field theory and curved spacetime, and then he might make a Newtonian approximation
and so on. But he shows that the Einsteinian point
76:30 - 77:00 of view is different from the Newtonian point of
view, and that there is a contradiction there. And that then, because of that, he argues that these
superpositions should be short-lived. And he goes beyond that, because he gives you a formula that
measures sort of the error, and this gives you an energy uncertainty, and it's related to the
gravitational self-energy of the difference in
77:00 - 77:30 the superposition. So you take some, maybe that is
maybe going more technical, but we can if you want to, because I know that your followers are quite
well-educated in physics. So let me jump and then I come back a little bit here. This is the paper
that I mentioned that I wrote with Roger, and what
77:30 - 78:00 we did in this paper is that we calculated how
massive would these superpositions have to be if we used the Bose-Einstein condensate, I'm going
to come back to that. But we found that you need at least something like 10 to the 9 atoms in a
superposition. And let me tell you where the field is now. So well, people started to put electrons
in a superposition of two different locations
78:00 - 78:30 using like a double-slit experiment, I don't know,
maybe 90 years ago, I don't remember when was the first experiment with electrons. And from there
they said, okay, it works for electrons, amazing, let's do it now with atoms, and you know,
then it's like how bigger can the states, the system get, and the record is held by Markus
Arndt's group in the University of Vienna as well,
78:30 - 79:00 where he has been able to put big molecules
in a superposition, and by big I mean the molecules have around 2,000 atoms. Wow. But you
know, for gravity to act, you need at least 10 to the 9. Actually for molecules you need even
more. So you can see we're very far from that. What do you mean for gravity to act? I thought
the assumption is that gravity acts as long as you have mass, don't these have masses? Yes, but these
are stable superpositions. Oh, according to the
79:00 - 79:30 calculation from Penrose? Yes, this is what Markus
showed, that you can have these superpositions, and I think they lasted milliseconds, I don't
exactly remember how long he had them for. So they are stable for that long in the lab. So gravity
is not causing the collapse of superpositions at those scales. I see, I see. But now the question
is, is Roger right? Because if Roger is right,
79:30 - 80:00 then that explains why we don't see superpositions
in the macroscopic world. And what would be super interesting is to see that, now that is a big
open question in fundamental quantum mechanics, is to understand what takes you from quantum
states being in superpositions to the classical world where we don't see quantum superpositions.
It's a very interesting question. Markus and many
80:00 - 80:30 other people are trying to address this question
in an experimental point of view, by trying to put more mass into the superpositions. There are
many different experiments going on at the moment, and they use, for example, nanoparticles,
nanobeads made of silicon or silica, diamonds, little mirrors, rods, even membranes. There's
many, many experiments going on. And also a
80:30 - 81:00 record has been held by Markus Aspelmeyer, also
in Vienna. I spent three years in Vienna because of these amazing people and experiments there. I
was very lucky to get a visiting professorship for that long and be in the same environment where
these amazing scientists are. Markus was able to bring one of these nanobeads to the quantum
regime by cooling it down to a lower vibrational
81:00 - 81:30 state. So they're already in the quantum, let's
say, scales, but with 10 to the 8 atomic masses, so quite a big bead. But he cannot put them
yet into a superposition of two different locations. That has not been possible. Also,
one of my colleagues, and I'm in Southampton, so one of my colleagues there, Hendrik Ulbricht,
also has a very recent, amazing paper where he
81:30 - 82:00 takes these little beads and he manages to measure
gravity. But this is all classical. But anyway, I mean, at those scales where quantum starts to
kick in, well, what he wants to do is push these experiments so that maybe he sees some quantum
gravity still far from that, but right, let's say, approaching. But this is where things are at with
respect to the experiments with big mass. So what
82:00 - 82:30 I did with Roger is that when he started to tell
me about his proposal and the experiments that people were doing, I noticed that all of these
experiments were using solids, no? Mirrors, beads, and so on. And it's very difficult
to cool a solid to very cold temperatures
82:30 - 83:00 where you have little noise. So they haven't been
able to make more progress because of the noise, because you can't cool them enough. Now, a
Bose-Einstein condensate is a really beautiful system. I think it's my favorite system because
you can reach half a nano-Kelvin. The coldest things that we can do. And you can get up to 10
to the atoms. I mean, that's not very common, but there's been an experiment. Using hydrogen,
in which they cool 10 atoms into a condensate. So
83:00 - 83:30 let me tell you a little bit what a condensate
is. So you have a, let's say, when you learn quantum mechanics, you learn that if you put a
particle in a potential, well, the particle is there moving in the potential, but if you cool
it to the ground state, it will, let's say, if you manage to the ground state, the atom will
be completely delocalized within the potential. So you don't know what the position of the atom
is in that whole thing, no? That's really, I don't
83:30 - 84:00 know, when I did that in quantum mechanics, I
loved it. Now think about having 10 to the eight, 10 to the 10 atoms, all cooled down. But atoms are
bosons, so they can all occupy the same quantum state. So you can cool them all down to the ground
state. And that is what is called a Bose-Einstein condensate. So you have the biggest system that
behaves in a quantum mechanical way. And like I said, in the experiment, people have been able to
cool these systems to half a nanokelvin. Right.
84:00 - 84:30 So I was wondering if then this would be a good
system to test Roger's predictions, and that's what we did together. We said, okay, how would
it go with a Bose-Einstein condensate? And well, also super complicated, because you would have
to create a superposition of all the atoms on the left with all the atoms on the right. And
although the temperatures are that low, people
84:30 - 85:00 have not been able to create these superpositions.
They're called noon states because you have N, zero, zero, N. Yes, cool. And you know what, the
record is by one of my colleagues called Chris Westbrook, and he's been able to do two atoms. And
like, so you can have many, like you can have up to 10 to the, like you can have many atoms in
quantum states in a Bose-Einstein condensate, but not many atoms in a spatial superposition
of two different space locations. That's where
85:00 - 85:30 gravity acts. So this is what I now have been
working on in the last two years. And well, it's not related to, it's inspired by this work
with Roger, but it's a complete new thing. I hope I can talk about it at a later time with
you. But in that previous paper with Roger, you know, we studied things like, Roger
had given formulas for uniform spheres,
85:30 - 86:00 and in a BC you could have pancakes or elongated
BCs with different distributions of the density. And we studied if these would enhance the effects
predicted by Roger. And then, well, you have a lot of losses and we studied the losses and so on. And
that's how we came up with this. Well, with a BC, you need at least 10 to the nine particles, maybe
even 10 to the 10, in order to start being able
86:00 - 86:30 to actually verify that the energy uncertainty
of gravitational origin that Roger predicts has an effect. So now I'm gonna finish this part with
the slides, just telling you of an example of the work that I've done, where I brought together
quantum field theory and curved spacetime to, let's say, propose a new sensor. And it was quite
bold, because I came up with a proposal that you
86:30 - 87:00 could use a Bose-Einstein condensate. The sample
itself can be 100 micrometers, 50 micrometers, the cloud of atoms. And the experiment is, again, a
tabletop experiment. We could put it in this room, no? Cool. And I claim that you could use the BC,
because you see an atom, we saw how precise they are. And a BC, you might want to see it as 10 to
the eight atoms cooled down to the ground state. So this is a very precise, it's a system that
is very sensitive to spacetime distortions. And
87:00 - 87:30 I made a proposal on how could you use the system
to detect gravitational waves. Wow. And it's quite crazy, because gravitational waves are detected
in LIGO, where the apparatus measures each arm three kilometers. So this is very bold. And I've
been really kind of, when I met Roger, that was in
87:30 - 88:00 2017, I was really invested in that, and trying
to convince the community that you need to do this experiment, because it really opens up a new
direction. And Roger was trying to convince me to work on the collapse of the wave function due to
gravity. I was very reluctant, because I thought, I want to put my time and my energy into this. And
well, after the years, Roger managed to pull me
88:00 - 88:30 more into what he's doing. But yeah. So when you
talk about using atoms to measure gravity, what we usually do in quantum technologies is an atom
interferometer. So let's say you have a atom, and you hit it with a laser, with a photon, and you
make the atom, you put it in a superposition of
88:30 - 89:00 two different positions, but they're free-falling.
So they follow different trajectories, and then you recombine them with lasers. And they recombine
at a point. But because they went through different trajectories, they pick information in
a phase that depends on the local gravitational field. And this is what a quantum gravimeter is.
Interesting. And I put here a single particle detector, because although they throw maybe 10
to the six atoms at once into the interferometer, all the atoms are independent. And each atom goes
through this superposition of trajectories. And
89:00 - 89:30 then they interfere at a point. So I put here the
interference is local, because it's at the point where they recombine. And then this is limited
by the time of flight. And the equation is very simple. It's just this equation that's here.
Basically, it depends with the time of flight squared, which means the bigger the detector, the
more precise it is. That's why LIGO is so big. And they're thinking because they want to go to,
well, LIGO is with light, but the principle is the
89:30 - 90:00 same. They now want to make a bigger detector in
space called LISA to have more precision. So a lot in physics, the tendency is to go very big, big
experiments, of course, are very expensive. And I, my, my husband says that I'm a rebel because I
like, you know, if everybody's doing one thing, I always want to do something different that applies
to everything in my life. Yeah, that's another aspect that unifies us. Yeah, really? Yeah. No,
it's like I'm a contrarian at heart. Yeah, yeah,
90:00 - 90:30 yeah, yeah, exactly. So if everybody wants to make
big detectors, I want to make them very small and so on. But it has paid off for me in science. So
maybe sometimes in life can make me like a Grinch in Christmas and things like that, because I was
like, oh, I don't want to do what everybody does. So socially, I don't want to go to the movie that
everybody's watching. But in science, it's been, it's been good, you know. So, so, well, here I
also write that this is compatible with Newtonian
90:30 - 91:00 gravity, because this is an experiment that is
described with the Schrodinger equation. If you treat the local gravitational field by Newtonian
gravity, everything works very nicely. And like I said, these are already commercial. My colleague,
Philippe Bouyer, has founded a company that he now sold called MuQuans. And there are other like
Mark Kasevich does that as well, in which, you know, they built these interferometers, these
gravimeters. And they sell them, they're like,
91:00 - 91:30 like a meter big, I think, and so on. And that's
like, you cannot make them smaller than that, because then you lose precision. So if you
wanted to get atom interferometers to apply them to fundamental physics, to learn about the
equivalence principle, or to measure anything, respect to gravity, so you want to make them more
precise, you have to make them bigger. So Philippe
91:30 - 92:00 Bouyer did this amazing experiment in which he
put his atom interferometer in a plane. So he flew the plane as well, and let it free fall for
a bit to get the long baselines. He also has an amazing experiment underground called, oh gosh,
is it? I forgot the name of it now. But it is like the arms of the atom interferometer are 300 meters
long. So this is huge. You can see here in sort of
92:00 - 92:30 the tunnels and so on. And in Germany, you have a
drop tower. That is like, what is it like this? A drop tower. Yeah. So they put up here. Oh, okay.
Oh, a drop tower. They put up there like an atom interferometer, and then they let it drop to get
these long interferometer arms and be able to be more precise. Some other people also look at these
atom interferometries and put lasers and slow
92:30 - 93:00 down the atoms so that they get, so for example,
this paper by Guglielmo Tino is really beautiful, trying to miniaturize the detectors. So what
I came up with this idea was, well, if you're trying to do interferometry in using these sort
of, call it spatial interferometry, because the atom goes through two different positions. Yeah.
The precision is going to be limited by how big it
93:00 - 93:30 is. So you're going to have to make them bigger
to be more precise. But if instead of that, we do interferometry, not in space, but in
frequency, then what is going to limit your precision is time. Uh-huh. So the sensor can be
very small, but you're going to have to produce quantum states that live longer in time. So with
this idea that I called frequency interferometry,
93:30 - 94:00 I came up with a number of sensors, including the
gravitational wave detector. And then I applied it to searches for dark energy, searches for
dark matter. I also patent an idea on how to use these states to measure the local gravitational
field. So this might have commercial applications in the future. And I like that because I
like more fundamental questions. Actually,
94:00 - 94:30 my favorite question is like, what's the nature of
reality? What are we doing here? Where am I? Oh, yeah. It's a dangerous question, huh? Yeah.
Very. All of these things. But when you're doing that and you find some interesting things,
why not also come up with something that can be patented and commercialized and so on? And yeah,
then when I met Roger, I was really invested in this. And I'm still working on it. I have some
recent results. It was in the old slides. It
94:30 - 95:00 doesn't matter. But I think I managed to give you
a flavor of what you can do by bringing together quantum technologies and apply them to fundamental
questions of where things are at. I think I want to finish by saying that this last proposal is
an example where we used not quantum mechanics,
95:00 - 95:30 but let's say a more fundamental theory
because it takes into account relativity, which is quantum field theory in curved spacetime.
And although it's not the finished theory because it cannot address the question of superpositions
of mass, you can apply it without problem to specific cases like the propagation of spacetime
of packages in the spacetime of the Earth and many other interesting instances. This allows you to
come up with, let's say, new sensors. And the
95:30 - 96:00 theoretical predictions that we've made is that
these sensors are so, in principle, they still have to test them, so precise that you might be
able to detect a gravitational wave with a tiny system. And these are for high frequencies, by the
way. They don't really compete with LIGO because LIGO works in a different frequency regime. This
would be for frequencies higher than the ones that LIGO detects. But, you know, let's say using these
patches of the theory that incorporate relativity,
96:00 - 96:30 I think already show you that you can, in
principle, make sensors that allow you to go closer to these scales where I was talking about
that we don't have the guide to unify. You know, when people were trying to detect gravitational
waves, the first apparatus that were built in Maryland, you can still see them, there are these
Weber bars. So Weber predicted that the phonons,
96:30 - 97:00 so the vibrational modes of these big metallic
bars would resonate with gravitational waves. And then he claimed that he actually had this.
He detected one, and then this got sort of controversial and then eventually disproved. But
actually, the proposal that we made in which you can implement it by using a BEC and using the
vibrational modes, like the phonon modes of the BEC, but because you can cool the BEC to half a
nanokelvin, that's 10 orders of magnitude cooler
97:00 - 97:30 than the Weber bars were cooled initially, then
you can prepare the phonons in a highly quantum state, which you cannot do unless you go to those
cold temperatures. And then you can exploit all the sensitivities that we were talking about,
quantum technologies, to see changes in the space-time. And that's how we came up with that
proposal. You know, I think I can talk forever,
97:30 - 98:00 so maybe it's good to leave it here. I think let's
see if I had some kind of concluding. Well, yes, my concluding slide was to say that I've managed
to raise funding to build a new experiment. So I'm working with Philippe Bouyer and Chris Westbrook,
who are going to test some of my predictions in a new proposal that I have for unifying quantum
theory and gravity. And well, we're still working
98:00 - 98:30 very closely with Reuters. So I'm very excited,
because it's like a new era for me, now being able to work this close with the experiments. And yeah,
I'll leave it here. Professor, thank you so much. You've given far more than just a flavor. I lost
count of how many pioneering ideas there are here, with actual practical consequences in the near
term. Near term being within a couple of years. I
98:30 - 99:00 don't recall the last time that's happened on this
channel, and all I do is interview people that are at the bleeding edge in their field. So thank you
for that. Thank you. Thanks. Yeah. No, thank you. It's a big pleasure for me to be on your channel.
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