^{-19}m, that’s the wavelength of the protons collided at the LHC. It has taken us about 400 years from the invention of the microscope to the construction of the LHC – 400 years to cross 15 orders of magnitude.

Quantum effects of gravity are estimated to become relevant on distance scales of approximately 10^{-35}m, known as the Planck length. That’s another 16 orders of magnitude to go. It makes you wonder whether it’s possible at all, or whether all the effort to find a quantum theory of gravity is just idle speculation.

From nothing comes nothing though. If we don’t think about how quantum gravitational effects can look like and where they might show up, we’ll certainly never find them. But fueling my optimism is the steadily increasing interest in the phenomenology of quantum gravity, the research area dedicated to studying how to best find evidence for quantum gravitational effects.

Since there isn’t any one agreed-upon theory for quantum gravity, existing efforts to find observable phenomena focus on finding ways to test general features of the theory, properties that have been found in several different approaches to quantum gravity. Quantum fluctuations of space-time, for example, or the presence of a “minimal length” that would impose a fundamental resolution limit. Such effects can be quantified in mathematical models, which can then be used to estimate the strength of the effects and thus to find out which experiments are most promising.

Testing quantum gravity has long thought to be out of reach of experiments, based on estimates that show it would take a collider the size of the Milky Way to accelerate protons enough to produce a measureable amount of gravitons (the quanta of the gravitational field), or that we would need a detector the size of planet Jupiter to measure a graviton produced elsewhere. Not impossible, but clearly not something that will happen in my lifetime.

One testable consequence of quantum gravity might be, for example, the violation of the symmetry of special and general relativity, known as Lorentz-invariance. Interestingly it turns out that violations of Lorentz-invariance are not necessarily small even if they are created at distances too short to be measurable. Instead, these symmetry violations seep into many particle reactions at accessible energies, and these have been tested to extremely high accuracy. No evidence for violations of Lorentz-invariance have been found. This might sound like not much, but knowing that this symmetry has to be respected by quantum gravity is an extremely useful guide in the development of the theory.

Other testable consequences might be in the weak-field limit of quantum gravity. In the early universe, quantum fluctuations of space-time would have led to temperature fluctuation of matter. And these temperature fluctuations are still observable today in the Cosmic Microwave Background (CMB). The imprint of such “primordial gravitational waves” on the CMB has not yet been measured (LIGO is not sensitive to them), but they are not so far off measurement precision.

A lot of experiments are currently searching for this signal, including BICEP and Planck. This raises the question whether it is possible to infer from the primordial gravitational waves that gravity must have been quantized in the early universe. Answering this question is one of the presently most active areas in quantum gravity phenomenology.

Also testing the weak-field limit of quantum gravity are attempts to bring objects into quantum superpositions that are much heavier than elementary particles. This makes the gravitational field stronger and potentially offers the chance to probe its quantum behavior. The heaviest objects that have so far been brought into superpositions weigh about a nano-gram, which is still several orders of magnitude too small to measure the gravitational field. But a group in Vienna recently proposed an experimental scheme that would allow to measure the gravitational field more precisely than ever before. We are slowly closing in on the quantum gravitational range.

Such arguments however merely concern the direct detection of gravitons, and that isn’t the only manifestation of quantum gravitational effects. There are various other observable consequences that quantum gravity could give rise to, some of which have already been looked for, and others that we plan to look for. So far, we have only negative results. But even negative results are valuable because they tell us what properties the sought-for theory cannot have.

[From arXiv:1602.07539, for details, see here] |

The weak field limit would prove that gravity really is quantized and finally deliver the much-needed experimental evidence, confirming that we’re not just doing philosophy. However, for most of us in the field the strong gravity limit is more interesting. With strong gravity limit I mean Planckian curvature, which (not counting those galaxy-sized colliders) can only be found close by the center of black holes and towards the big bang.

(Note that in astrophysics, “strong gravity” is sometimes used to mean something different, referring to large deviations from Newtonian gravity which can be found, eg, around the horizon of black holes. In comparison to the Planckian curvature required for strong quantum gravitational effects, this is still exceedingly weak.)

Strong quantum gravitational effects could also have left an imprint in the cosmic microwave background, notably in the type of correlations that can be found in the fluctuations. There are various models of string cosmology and loop quantum cosmology that have explored the observational consequences, and proposed experiments like EUCLID and PRISM might find first hints. Also the upcoming experiments to test the 21-cm hydrogen absorption could harbor information about quantum gravity.

A somewhat more speculative idea is based on a recent finding according to which the gravitational collapse of matter might not always form a black hole, but could escape the formation of a horizon. If that is so, then the remaining object would give us open view on a region with quantum gravitational effects. It isn’t yet clear exactly what signals we would have to look for to find such an object, but this is promising research direction because it could give us direct access to strong space-time curvature.

There are many other ideas out there. A large class of models for example deals with the possibility that quantum gravitational effects endow space-time with the properties of a medium. This can lead to the dispersion of light (colors running apart), birefringence (polarizations running apart), decoherence (preventing interference), or an opacity of otherwise empty space. More speculative ideas include Craig Hogan’s quest for holographic noise, Bekenstein’s table-top experiment that searches for Planck-length discreteness, or searches for evidence of a minimal length in tritium decay. Some general properties that have recently been found and that we yet have to find good experimental tests for are geometric phase transitions in the early universe, or dimensional reduction.

Without doubt, there is much that remains to be done. But we’re on the way.

[This post previously appeared on Starts With A Bang.]

## 11 comments:

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That’s another 16 orders of magnitude to go." 60 MHz (5 meters) NMR views femtometer nuclei. 2-D airplane wings are Bernoulli effect, planes fly inverted; footnotes! Gravitational radiation is not observed to be quantized or diffractive.Vacuum may lack an

exactsymmetry. Lorentz invariance removes baryogenesis. Anexactpostulate isn't. Test geometric vacuum chiral symmetry breaking six different ways, all arising outside physics. Observe an empirical answer.Spacetime is exactly mirror symmetric toward massless boson photons: no vacuum refraction, dispersion, dissipation, dichroism, or gyrotropy in the lab and across the universe. Gravitation requires hadronic matter tests.

"The history of science is full with people who thought things to be impossible that have meanwhile been done: measuring the light deflection on the sun, heavier-than-air flying machines, detecting gravitational waves. Hence, I don’t think it’s impossible to experimentally test quantum gravity. "

In fact the correct lesson to takeaway - because it's the only invariant component across all instances - is that whether forbears imagined it was impossible, or that it wasn't, the terms on which they envisaged were completely naïve and inadequate and did not begin to approach the scientifically resolved object, or anything at all usefully accurate about the future.

This really is every single instance. Not just corresponding to predicting future developments in technology, but also in abstract theory. See if you can think of an instance in which something was envisaged that it must be there, and it must be like this or like that, such that designing tests became feasible.

See if you can think of a an instance, because I can't. It's obviously easy to suppose all kinds of instances, but that's just because context is hard correspondingly hard. It is easy I think to demonstrate why a given instance is illegitimate, either due to being out-of-context, or being an artefact of some other kind. So it's worth having a go.

Needless to say, there are stark implications for quantum gravity as currently conceptualized. I think you'd have to take account if the measure of optimism from weighing the balance of things, is to have real world usefulness

Hi Sabine,

I understand that all this is based on the assumption that the existing physico-mathematical framework is fundamental (QM, QFT, gauge fields, whatever is on the scene at a given epoch) and therefore the same framework also applies to gravitation. Is that so?

If not fundamental, what would that mean for gravitation?

(Second question, related to your previous post, what would that mean about crackpots filtering?)

Thanks,

J.

akidbelle,

No, it certainly does not mean that. OFT, gauge fields and so on might be fundamental, but most people in the field believe they are "emergent" in a low-energy limit. Actually, the question what is fundamental and what isn't can be difficult to even answer if you have dualities. (I wrote about this here.)

@piein skee Fundamental science usually begins as anomalous observation or "unsound" imaginings. Baryogenesis happened. That is where you begin - by allowing(demanding!) it. Elegantly derived quantum gravitations to the contrary are empirically sterile.

Dear Sabine,

thanks; I read the post in reference, but the question it raises can only be tested on humans - and maybe duality actually test humans (just our love for concepts).

The question I had is almost equivalent to saying "can we have gravitation and QFT/gauge fields without a graviton". I mean why would the "thing that carries gravitation" be a particle? (A particle being the consequence of a framework, or at least of interpretation/understanding of it.) Why would everything that exists be either a particle (or a field), or space and curvature?

J.

Hi Uncle Al - I think I agree with you but it's hard to tell. I'd like to hear more if you're willing.

This is Bee's party, quantum gravitation, I'm an organic chemist. General relativity? Newton terrifically fails (SR, GR; QM, Stat Mech.: c; h, k_B). A rigorously derived axiomatic system can fail as science for a postulate not being

empiricallycomplete.After 45 years of astounding effort, gravitation resists quantization. What solution is excluded from physics? Vacuum is mirror symmetric (Noether's theorems, spatial isotropy, conservation of angular momentum). Baryogenesis, the Weak interaction, and many other things demand added mirror-asymmetry. A footnote exists.

Chemistry offers novel chiral tests carefully excluded from physics. Look anyway. The Varian brothers' klystron may bear upon hostile peer review until reduction to practice. Look up "clyster." Kary Mullis was Nobel Prize/Chemistry for driving up a switchback mountain road while stoned. It was...DNA, and he was a zipper.

Hi Uncle Al,

Newton does not fail so much; just assume the potential at the infinite is c^2 and modify the Compton wavelength according to the local potential. You get the Schwarzshild metric - the only thing tested in GRT. So it may be possible to unify QM and gravity, but for this one can either assume a curvature or try to understand what energy is - which is heresy!

The vacuum is mirror symmetric only if considered independent of its content - which is necessarily sterile if one tries to unify some things...

J.

Hi Uncle Al - Newton did not fail to see the character of relativism. He explored it extensively and realized it was impossible to get to the bottom sufficiciently for any hope of finalizing a self-consistent theory in his lifetime. In fact there is now a large body of historical fact that supports his intuition. Not only was relativism not available from 17th century knowledge, but it would not ever have become available were it not for the scientific revolution including engineering and technology. And that would not have been possible without Newton's theory.

There are a number of bogus charges levelled at Newton at the moment. You suggest he failed Relativism, when his theory was necessary to derive it. His theory has not been disproven, it has been bounded, it's limits identified precisely. That is the highest possible standard a scientific can attain. It's when the term 'true' becomes legitimate. True within a bound.

I've been aware of your chirality related apparent belief that there is information available there that physicists need to know about. You are very persistent, but you also obscure through language what precisely you think people should do and why.

I've speculated what could be driving the apparent contradiction in play there. I think it's possibly that you have worked hard for what may be important discoveries, but that for whatever reason you do not wish to progress yourself, but you are torn between a desire for your knowledge be put to good use on the one hand, while on the other an understandable reluctance to give away to others what you had to work for.

If that's it, then my council would be that semi-hinting encased in a linguistic tactic of obscuration, is not a good compromise. Unless you really can't bear to let others have your knowledge and probably take credit, but cannot bear to never speak of it. If that's the balance and your ultimate goal is to mention it but keep it for yourself, then your strategy is excellent. Because no one is picking up, and it's been quite a long time :o)

IT would be too cool if on the way down, we found some intermediate form of energy/particle small enough to see PLanck objects. Like Feynman said in a different context, There's PLenty of Room at the Bottom.

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