Walter, thank you very much for your kind comments. Julian Barbour is one of the key influencers in my work.
We appear to agree strongly. I argued that Minkowski spacetime was superfluous at best and harmful at worst because it implies change can occur along the time axis independently of change on the spatial axes. Instead, I identified "subtime" with information transfer as a photon traverses the one-dimensional path from one atom to another, and is reversed in all ontological respects when the photon traverses back to the originating atom (can be generalized to any fermion/boson interaction).
Quantum particles are deaf dumb and blind. They are "surprised" in a Shannon sense when new energy/information arrives (or particles bump into each other in the night). This corresponds to Bohr's intuition of quantum jumps: they appear instantaneous (like sudden change between flashes of a stroboscope). The classical time that we see (measure) is the vector sum of subtime in an entangled system (which grows to any size).
It is important to realize (and this is a simplistic description) that there can still be "motion" in the sense of atoms moving around in space (the void?). They can still bump into each other, but there is no manifestation coordinates, in space or time that we can see or measure. It is only when we interact with something (via photons) that our quantum states mix and we "share" information with what we are measuring. Information accumulates only when the scaffolding of entanglement binds matter together. The accumulation of this information up the scales from the microscopic to the macroscopic leads to what we as humans perceive as time.
I concur that space-time is an abstract mathematical fiction. The recent paper by Fromholz, Poisson and Will [1] (provided to me by Christian Corda) essentially argues your case for a background-free concept of space-time in their recognition that a Schwarzschild geometry can be described in infinitely many coordinate systems.
Please send me the references to the two recent papers you referred to regarding momentum entanglement, I would be delighted to read them and continue our conversation.
As I mentioned in an earlier post, the reason this essay is completely devoid of mathematical formalism is because I wanted to begin with a describable phenomenon, and not with an argument over deficiencies in current formalisms. I plan to follow up this paper with a fully mathematical description, but I wanted people to read and understand this description first in order to pave the way to a new understanding.
The mathematics to describe subtime is very straightforward, almost any college graduate who understands the Euler equation and vector algebra can derive it as a homework exercise. How it evolves up the chain to the macroscopic world however, is a more challenging mathematical task, which might require a different form of mathematics [2].
In my view, before adding further "weight" to the mathematical frame we view nature through, it would be better to step back and explore the unexamined beliefs in the hidden assumptions behind current mathematical formalisms, and our inadequate interpretations of their meaning that is hindering our understanding of nature.
Kind regards, Paul
[1] Fromholz, Pierre, Eric Poisson, and Clifford M. Will. The Schwarzschild Metric: It's the Coordinates, Stupid! ArXiv e-print, August 1, 2013. http://arxiv.org/abs/1308.0394.
[2] P. Borrill, L. Tesfatsion. "Agent-Based Modeling: The Right Mathematics for the Social Sciences?" http://www.econ.iastate.edu/research/working-papers/p11674