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 ac cH₀ can be naturally linked to topological quantisation of the torsion field in a finite universe 1. The construction connects the topological condition T_ dx^ = 2 n with the finiteness of the universe (D₌₀ₗ = c/H₀) through the effective coupling of a test node to the global torsion background. The precise value ac = cH₀/ (2) depends on two motivated ansatzes: an EFT coupling 1 and a geometric projection factor 1/ (2). The result gives 92% agreement with the observed MOND value a₀ without fitting, reproduces the baryonic Tully–Fisher relation, and predicts an evolution ac (z) = cH (z) / (2) — 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