Physics still has a fundamental problem with scale.
A "theory of everything" has to cover all scales from the Planck scale to the universe itself. That's 70+ orders of magnitude, making such a search, in a way, wrongheaded.
We currently understand that there's no such thing as a closed system. Which means Planck scale events are being influenced by other Planck scale events galaxies away. We also understand there are 20 orders of magnitude between the Planck scale and what we can actually see. So far the fastest time we can see is a zeptosecond. That leaves 20 orders of magnitude we can't see or measure.
I'll submit for your consideration, that we have no idea what happens at the Planck scale, and therefore any attempt to define it is just a SWAG. Instead, we should do what the chemists have done, to relate SCALES of influence. Onsager got the Nobel in 1968 for his reciprocal relations. Prigogine got the Nobel in 1977 for his work on non equilibrium systems.
We should KNOW by now, that our universe is not (and never was) at equilibrium. What we call "the constants" are all based on theoretical systems at equilibrium. This works in (and "only" in) a middle range of scale. The proof is the continued inability to relate quantum mechanics and relativity. The math says there's a gazillion ways to violate both. Some of those ways are experimentally demonstrable.
Take a close look at nonequilibrium thermodynamics. Here:
en.wikipedia.org
And here:
en.wikipedia.org
Pay attention to what they're saying about entropy, which as we know, is information.
Then take a look at this, which is the way we measure entanglement - meaning stable non local configurations of information:
en.wikipedia.org
I'm trying to emphasize the importance of neutrinos in this discussion. Someone in this thread said "we don't know", which is not entirely accurate. We now have a working neutrino detector. Here's a picture of a neutrino:
View attachment 1010266
Experiment turns on to search for answers to mysteries and evidence of new physics
news.uchicago.edu
"Neutrinos have non-zero mass outside the Einstein-Cartan torsion, which requires a modification to the Standard Model of particle physics".
In other words, we already KNOW it doesn't work, so why are we placing faith in "universal constants"?
This is the current thinking around neutrino oscillations:
"Neutrino oscillation arises from mixing between the flavor and mass
eigenstates of neutrinos. That is, the three neutrino states that interact with the charged leptons in weak interactions are each a different
superposition of the three (propagating) neutrino states of definite mass. Neutrinos are emitted and absorbed in
weak processes in flavor eigenstates but travel as mass
eigenstates."
en.wikipedia.org
Hello? Nuh uh. This would require a violation of the basic laws of physics. Which is why we know the model doesn't work. We're looking at neutrinos that started flying around early in the history of the universe. If you continue reading the article they make it clear that the theory depends on the maintenance of coherence in the wave functions, which HELLO, is the exact same thing as entanglement. This should be a big-ass clue. On the one hand, we have a stable information state, and on the other, we have one that oscillates. Neither is describable by the Standard Model.
But BOTH can be described on a stochastic manifold. The math says we get stable manifolds under certain conditions. I can't possibly post all the links about this, but here's a few to get started, and you can Google on "stable information states on stochastic manifolds" to get more.
Invariant manifolds are fundamental tools for describing and understanding nonlinear dynamics. In this paper, we present a theory of stable and unstable manifolds for infinite dimensional random dynamical systems generated by a class of stochastic partial differential equations. We first show...
link.springer.com
Slow–fast systems arise in many scientific applications, in particular in atmospheric and oceanic flows with fast inertia–gravity waves and slow geostrophic motions. When the slow and fast variables are strongly coupled—symptomatic of breakdown of ...
www.ncbi.nlm.nih.gov
The last paper is important because it talks about how to relate different scales. You can compare this to the work on nonequilibrium thermodynamics. In all these cases, there are coupled nonlinear stochastic oscillators, which only requires a "small" tweak to the standard quantum model, but results in a big and important set of observable behaviors. Like pairwise entanglement and neutrino oscillations. And I'll betcha ten bucks it can relate gravity to quantum mechanics too.