Constructibility-Constrained Dynamics of Tumorigenesis: A KA-Based Formal Mapping of Oncogenic Transition as a Constrained Stochastic Bifurcation System

We develop a geometric framework for modelling oncogenic state transitions within the Kerimov-Alekberli (KA) framework V1, V2. Cellular state evolution is modelled as a stochastic trajectory on a Riemannian statistical manifold M equipped with a graded constructibility functional Cₛigma (s) in 0, 1. We establish sufficient conditions under which expected admissibility ECₛigma (sₜ) erodes to epsilon-negligible levels at finite time tc, without asserting hard biological irreversibility. Two peer-review-driven improvements: (i) Assumption A1 weakened from pointwise monotonic KL growth to a mean KL drift condition, accommodating transient reversals; (ii) Assumption A3 replaced by a stochastic structural drift inequality. A first-order correspondence between fCER (t) =C1+gamma*C2+beta*C3 and graph-perturbation Fisher sensitivity CER (t) is established, recovering gamma~=0. 6, beta~=0. 5. Synthetic simulations with phase-randomised surrogates (N=200, B=1000) validate the geometric mechanism. Detection precedes admissibility collapse (Corollary 2), providing the geometric basis for the 18-24 month pre-clinical windows of V1/V2.