SQG–MBF Toward a Theory of Everything: A Roadmap Benchmark Against Canonical Questions

We advance a falsifiable unification programme that couples a discrete, stochas- tic substrate for spacetime, Stochastic Quantum Geometry (SQG), to a covari- ant, motion– and magnetization–sensitive correction in the matter sector, the Motion–Based Framework (MBF). SQG models geometry as a random met- ric–measure graph whose Ollivier–Ricci transport curvature provably converges to classical Ricci in the continuum, providing a Planck–scale regulator and recovering General Relativity (GR) as an emergent limit. MBF contributes a polarity– and density–dependent stress–energy term that is negligible in ordinary regimes yet testable in strongly magnetized or low–density environments. The unified action Stotal = SSQG + SMBF + Sgauge + Smatter reduces to the Standard Model and GR in their validated domains and specifies controlled departures at high curvature or in extreme electromagnetic conditions.

Rather than claim a finished “Theory of Everything,” we structure the work as a benchmarked programme with explicit Addressed/Partial/Gap status and preregistered caps. Near–term empirical hooks include: (i) compact–object ringdown residuals under a fixed cap; (ii) polarity–linked shifts in precision clocks and gyroscopes; and (iii) cosmological fits with stability under prior expansion and profile–likelihood scans. Open items—fermionic anomaly bookkeeping in SU(3)× SU(2)×U(1), global inference across independent surveys, and measurement- theory links between SQG modularity and decoherence—are delineated with artifacts to enable replication. The value of the framework is not scope but testability: each principle is either data–driven today or sharply forecast for near-term falsification.