Algebraic Slipstream and Topological Mechanics of Factorization in Rough Non-commutative Algebraic Geometry

This paper delineates the topological mechanics governing the crystallization of prime factors within the framework of Rough Non-commutative Algebraic Geometry (RNAG). Building upon the invariant tensor foundations established by the V85 Absolute Orbit Engine, we present the STCT Triple Lock Mechanism. We prove mathematically that under a state of zero-entropy convergence, the multiplicative knots of a composite manifold N are forced to unbind fractally, collapsing the generalized Seonggil Hamiltonian into pure orthogonal states corresponding to the explicit coordinates of its prime factors P and Q.