Towards a Unified Theory of Everything: Emergent Spacetime and Fundamental Interactions via Stochastic Quantum Geometry and Motion-Based Dynamics

This work presents a candidate framework for a Theory of Everything (ToE), unifying emergent spacetime and fundamental interactions through Stochastic Quantum Geometry (SQG) and the Motion-Based Framework (MBF). The model reproduces anomalies in particle physics (W boson mass, muon g-2) and cosmological observables (BOSS DR12, DESI BAO, Planck 2018, JWST) within 0.1–0.5% agreement, without invoking dark matter or dark energy. Key contributions include: A convergence proof linking discrete Ollivier–Ricci curvature to continuum Ricci curvature. The $\rho^{0.27}$ scaling law derived from neutron star data, explaining galactic rotation curves without dark matter. Validation via continuous-time Markov chain (CTMC) simulations, black-hole thermodynamics with KMS states, and cross-probe cosmology. A unified Ricci tensor formulation embedding MBF into SQG. This release is intended for peer review, with all equations, figures, and references provided. It cites and extends prior work by Curtis Vinson and Aaron James Brown on MBF and SQG.