Sabine Hossenfelder: What Physicists Have Been Missing An exciting new theory reconciles gravity and quantum physics. I think it’s wrong. But I may be too.

In Oppenheim’s framework... the random changes of spacetime affect the motion of quantum particles, and those quantum particles in return affect the changes of spacetime. It is a two-way process neatly consistent with John Wheeler’s one-line summary of general relativity that “Spacetime tells matter how to move; matter tells spacetime how to curve.”

The idea of stochastic space-time isn't very new and there is an entropic gravity branch, which deals with this model for quite some time. And it's consistent with dense aether model, in which universe is intrinsically random and which handles space-time as a surface of very dense (super)fluid (think of interior of dense star similar to supercritical foam). But is it mathematically consistent with relativity and quantum mechanics? Apparently not, because both theories handle space-time as a smooth and asymptotically flat continuum. Even in quantum gravity, in which the spacetime metric is treated as classical, even while matter fields remain quantum.

Therefore the rigorous proof of mathematical consistency of stochastic space-time with existing theories won't be easy. The problem is in different observation perspectives in which these low-dimensional theories handle hyperdimensional space-time. Quantum theory looks at it from extrinsic perspective, general relativity from strictly intrinsic one. At best it can be shown that all these theories converge to same asymptotically smooth solution for low-energy density fields.

Also keep on mind, that - similarly to MOND/MOD, TeVeS/STVG, MiHSc/QI and who knows else theories - the dark matter contributions tend to be spherically symmetrical, so that they can not really account to low-dimensional artifacts of (cold) dark matter, like the extragalactic filaments and barred galaxies. The bigger picture of geometric model of LeSage gravity is still missing in microscopic description of gravity fields.