New theory claims to unite Einstein's gravity with quantum mechanics

by University College London DECEMBER 4, 2023
https://phys.org/news/2023-12-theory-einstein-gravity-quantum-mechanics.html


A radical theory that consistently unifies gravity and quantum mechanics while 
preserving Einstein's classical concept of spacetime has been announced in two 
papers published simultaneously by UCL (University College London) physicists.

Modern physics is founded upon two pillars: quantum theory on the one hand, 
which governs the smallest particles in the universe, and Einstein's theory of 
general relativity on the other, which explains gravity through the bending of 
spacetime. But these two theories are in contradiction with each other and a 
reconciliation has remained elusive for over a century.


The prevailing assumption has been that Einstein's theory of gravity must be 
modified, or "quantized," in order to fit within quantum theory. This is the 
approach of two leading candidates for a quantum theory of gravity, string 
theory and loop quantum gravity.

But a new theory, developed by Professor Jonathan Oppenheim (UCL Physics & 
Astronomy) and laid out in a paper in Physical Review X, challenges that 
consensus and takes an alternative approach by suggesting that spacetime may be 
classical—that is, not governed by quantum theory at all.

https://journals.aps.org/prx/abstract/10.1103/PhysRevX.13.041040

Instead of modifying spacetime, the theory—dubbed a "postquantum theory of 
classical gravity"—modifies quantum theory and predicts an intrinsic breakdown 
in predictability that is mediated by spacetime itself. This results in random 
and violent fluctuations in spacetime that are larger than envisaged under 
quantum theory, rendering the apparent weight of objects unpredictable if 
measured precisely enough.

A second paper, published simultaneously in Nature Communications and led by 
Professor Oppenheim's former Ph.D. students, looks at some of the consequences 
of the theory, and proposes an experiment to test it: to measure a mass very 
precisely to see if its weight appears to fluctuate over time.

https://www.nature.com/articles/s41467-023-43348-2

For example, the International Bureau of Weights and Measures in France 
routinely weigh a 1kg mass which used to be the 1kg standard. If the 
fluctuations in measurements of this 1kg mass are smaller than required for 
mathematical consistency, the theory can be ruled out.


The outcome of the experiment, or other evidence emerging that would confirm 
the quantum vs. classical nature of spacetime, is the subject of a 5000:1 odds 
bet between Professor Oppenheim and Professor Carlo Rovelli and Dr. Geoff 
Penington—leading proponents of quantum loop gravity and string theory 
respectively.

https://www.ucl.ac.uk/oppenheim/pub/quantum_vs_classical_bet.pdf

For the past five years, the UCL research group has been stress-testing the 
theory, and exploring its consequences.

Professor Oppenheim said, "Quantum theory and Einstein's theory of general 
relativity are mathematically incompatible with each other, so it's important 
to understand how this contradiction is resolved. Should spacetime be 
quantized, or should we modify quantum theory, or is it something else 
entirely? Now that we have a consistent fundamental theory in which spacetime 
does not get quantized, it's anybody's guess."

Co-author Zach Weller-Davies, who as a Ph.D. student at UCL helped develop the 
experimental proposal and made key contributions to the theory itself, said, 
"This discovery challenges our understanding of the fundamental nature of 
gravity but also offers avenues to probe its potential quantum nature.

"We have shown that if spacetime doesn't have a quantum nature, then there must 
be random fluctuations in the curvature of spacetime which have a particular 
signature that can be verified experimentally.


"In both quantum gravity and classical gravity, spacetime must be undergoing 
violent and random fluctuations all around us, but on a scale which we haven't 
yet been able to detect. But if spacetime is classical, the fluctuations have 
to be larger than a certain scale, and this scale can be determined by another 
experiment where we test how long we can put a heavy atom in superposition of 
being in two different locations."

Co-authors Dr. Carlo Sparaciari and Dr. Barbara Šoda, whose analytical and 
numerical calculations helped guide the project, expressed hope that these 
experiments could determine whether the pursuit of a quantum theory of gravity 
is the right approach.


Dr. Šoda (formerly UCL Physics & Astronomy, now at the Perimeter Institute of 
Theoretical Physics, Canada) said, "Because gravity is made manifest through 
the bending of space and time, we can think of the question in terms of whether 
the rate at which time flows has a quantum nature, or classical nature.

"And testing this is almost as simple as testing whether the weight of a mass 
is constant, or appears to fluctuate in a particular way."


Dr. Sparaciari (UCL Physics & Astronomy) said, "While the experimental concept 
is simple, the weighing of the object needs to be carried out with extreme 
precision.

"But what I find exciting is that starting from very general assumptions, we 
can prove a clear relationship between two measurable quantities—the scale of 
the spacetime fluctuations, and how long objects like atoms or apples can be 
put in quantum superposition of two different locations. We can then determine 
these two quantities experimentally."

Weller-Davies added, "A delicate interplay must exist if quantum particles such 
as atoms are able to bend classical spacetime. There must be a fundamental 
trade-off between the wave nature of atoms, and how large the random 
fluctuations in spacetime need to be."

The proposal to test whether spacetime is classical by looking for random 
fluctuations in mass is complementary to another experimental proposal that 
aims to verify the quantum nature of spacetime by looking for something called 
"gravitationally mediated entanglement."

Professor Sougato Bose (UCL Physics & Astronomy), who was not involved with the 
announcement today, but was among those to first propose the entanglement 
experiment, said, "Experiments to test the nature of spacetime will take a 
large-scale effort, but they're of huge importance from the perspective of 
understanding the fundamental laws of nature. I believe these experiments are 
within reach—these things are difficult to predict, but perhaps we'll know the 
answer within the next 20 years."

The postquantum theory has implications beyond gravity. The infamous and 
problematic "measurement postulate" of quantum theory is not needed, since 
quantum superpositions necessarily localize through their interaction with 
classical spacetime.

The theory was motivated by Professor Oppenheim's attempt to resolve the black 
hole information problem. According to standard quantum theory, an object going 
into a black hole should be radiated back out in some way as information cannot 
be destroyed, but this violates general relativity, which says you can never 
know about objects that cross the black hole's event horizon. The new theory 
allows for information to be destroyed, due to a fundamental breakdown in 
predictability.



More information: A postquantum theory of classical gravity?, Physical Review X 
(2023). https://journals.aps.org/prx/abstract/10.1103/PhysRevX.13.041040

Jonathan Oppenheim et al, Gravitationally induced decoherence vs space-time 
diffusion: testing the quantum nature of gravity, Nature Communications (2023) 
https://www.nature.com/articles/s41467-023-43348-2

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