This preprint establishes the complete axiomatic foundation of the Caillahua-Mendoza Stability Law (CM-SL), presenting a generative mathematical-geometric framework unifying physical, linguistic, and engineering systems through the Principle of Minimal Dimensional Deformation (PMDD). The framework resolves the epistemological circularity of the universal acceleration a₀ via explicit cosmological anchoring (a₀ = cH₀/C₆₄₎₌), derives the geometric factor C₆₄₎₌ 5 from Kaluza-Klein projections and QCD trace anomalies, and demonstrates empirical validation across galactic dynamics (SPARC ²ₑ₄₃ = 1. 05), symbolic systems (Voynich Manuscript decipherment), and Yang-Mills mass gap analysis. The document serves as the definitive axiomatic reference for the CM-SL framework.
Brandon Caillahua Mendoza (Fri,) studied this question.