Operator 5: Endogenous Variable Latency Calibration Operator Strict Mathematical Specification, Derivation, and Verification

Within the framework of Status-Relational Entropy (SRE) dynamics, the deployment of raw discrete connectivity metrics induces severe localized horizon fragmentation and zero-degree vacuum singularities across asynchronous distributed cuts. To secure systemic causality and data tractability, this paper develops and formalizes Operator 5, the Endogenous Variable Latency Calibration Operator (Mlatency). Adhering to the No-Dimension Principle, the proposed operator executes Relativistic Dimensional Reduction by mapping topological path-overlap invariants onto micro-scale discrete penetration rates along directed boundary propagation channels. To prevent arithmetic exceptions in vacuum layers, we establish a rigidly clamped explicit formulation using an infinitesimal floating-point protection variable and an endogenous vacuum propagation speed constant bound by mutually interlocked topological cycles. Furthermore, to defend against high-frequency side-channel differential manipulation, the sampling routines are cryptographically isolated within a zero-measure sub-manifold of the chain complex image space. We mathematically prove via the Irreconstructibility Theorem that the supremum of the total variation distance for any finite-sample empirical model approaches unity, thereby invalidating any retrospective parameter reconstruction. Numerical validation suites demonstrate that the operator successfully triggers an adaptive logarithmic dilation of micro-pulse iteration overhead under dense topological clusters while strictly guaranteeing a decoupled, constant operational overhead of O(1) across expanding macroscopic horizons.