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 C_sigma(s) in [0,1]. We establish sufficient conditions under which expected admissibility E[C_sigma(s_t)] erodes to epsilon-negligible levels at finite time t_c, 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 f_CER(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.