[MST-EUT Theory Series #15] First-Principles Derivation of Critical Entropy Field Density - MST-EUT臨界熵場密度的第一性原理推導 (v2.2-zh)

This document presents a first-principles derivation of the critical entropy-field density within the Mass–Space–Time Entanglement Unified Theory (MST–EUT). The critical density is identified as the threshold at which closed entropy-flow topology undergoes irreversible structural transitions, giving rise to quantization, discrete spectra, and phase-like behavior. Rather than postulating quantization a priori, the framework derives it as a consequence of entropy-flow rigidity and topological stability conditions. This work establishes the physical trigger underlying quantum-like behavior in the MST–EUT framework. 本文為 MST-EUT 理論系列第十五份文檔,從第一性原理推導臨界熵場密度的來源與物理意義。臨界熵場密度被界定為封閉熵流拓撲結構發生不可逆轉變的門檻,對應於量子化、離散譜與類相變行為的出現。本文不預設量子化公設,而是將其視為熵流剛度與拓撲穩定性條件下的必然結果,建立 MST-EUT 中量子現象出現的物理觸發機制。