Philosophical Foundations of Time Field Theory: Conservation Law Hierarchy and Geometric Mapping Principle

This is the v1 Preprint of the 13th paper in the Time Field Theory (TFT) series. This paper systematically elaborates the two philosophical cornerstones of Time Field Theory (TFT): Conservation Law Hierarchy Theory and Geometric Mapping Principle. The progress of physics is essentially a history of deepening exploration of conservation laws. The fundamental difference between different theories lies in the level of conservation they choose; more fundamental conservation laws often correspond to simpler mathematical forms and stronger explanatory power for physical phenomena. The essence of unification is mapping, not derivation. The legitimate goal of a grand unified theory is not to derive all experimental phenomena from first principles, but to construct a self-consistent logical framework that maps experimentally verified phenomenological rules onto it, providing a unified physical root explanation. Based on the previous 12 technical papers of the TFT series, this work establishes a complete philosophical foundation for the entire theoretical system, clarifies the internal logic of TFT, and provides a new methodological perspective for the unification of classical gravity and quantum phenomena.