Causal Necessity and Causal Conservation in Continuous Material Interactions: A Physical Derivation of Temporal Phenomena

This paper derives the physical necessity of causal progression and closed-system conservation from the interaction and topological recombination of material networks. Rejecting the traditional framing of causality as an a priori abstract rule, this work demonstrates that causal progression is an intrinsic topological property of continuous discrete interactions. The locality of interactions and the continuity of network propagation require that evolution from a present configuration to the subsequent configuration proceeds via sequential topological transitions; state jumps without physical intermediaries are forbidden, embodying the requirement that configuration A is necessary for the generation of configuration B. Within closed material systems, evolution obeys the principle of unit persistence and configuration rewriting: the material substrate and total primordial motion effect (W) are strictly conserved. Temporal sequence is fundamentally the geometric projection of continuous interaction chains. In the absence of ongoing material interactions, independent causal ordering and temporal phenomena do not exist.