CPQ Theory: Critical Acceleration from Topological Quantisation of the Matrix

Within CPQ theory, we derive that the order of the critical acceleration of galactic dynamics a_c ~ cH_0 can be naturally linked to topological quantisation of the torsion field in a finite universe [1]. The construction connects the topological condition ∮ T_μ dx^μ = 2π n with the finiteness of the universe (Dₘₐₓ = c/H_0) through the effective coupling of a test node to the global torsion background. The precise value a_c = cH_0/(2π) depends on two motivated ansatzes: an EFT coupling κ ~ 1 and a geometric projection factor 1/(2π). The result gives 92% agreement with the observed MOND value a_0 without fitting, reproduces the baryonic Tully–Fisher relation, and predicts an evolution a_c(z) = cH(z)/(2π) — testable with JWST and DESI. The construction uses neither dark matter nor modified gravity; flat rotation curves are interpreted as a consequence of the transition between two regimes of the CPQ matrix. Porschová, A. (2026). CPQ Theory — A Unified Framework from Spacetime Quanta to Cosmology (Books I–III). Zenodo. https://doi.org/10.5281/zenodo.18686137 Porschová, A. (2026). CPQ Field Theory — Applications (Books 01–03). Zenodo. https://doi.org/10.5281/zenodo.19100819 Porschová, A. (2026). The Matrix — Parameters and Dynamics: Foundation of CPQ Theory (3.1). Zenodo. https://doi.org/10.5281/zenodo.19431867