Mathematical Appendix: Geometric Origin of Quantum Relations in CRVD

The fundamental relations of quantum mechanics—the Canonical Commutation Relations and the Energy–Time Uncertainty Relation—are not postulated but are mathematically derived consequences of the Reactive Spatial Continuity (RSC) inherent to the geometric structure of spacetime within the CRVD framework. They arise specifically from imposing consistency requirements on the propagation of volumetric stress across infinitesimal, non-zero separations in space and time, reflecting the deep-seated geometric asymmetry of the foundational medium.量子力学的基本关系式——正则对易关系（Canonical Commutation Relations）与能量-时间不确定关系（Energy–Time Uncertainty Relation）并非人为公设，而是CRVD框架下时空几何结构固有反应式空间连续性（Reactive Spatial Continuity, RSC）的数学推导结果。这类关系式具体源于对时空内无穷小且非零间隔处体应力传播的一致性约束要求，反映出基础介质所潜藏的深层次几何不对称性。