The Arrow of Time under Space-Time-Entropy Mapping Model

ABSTRACT: This study introduces a discrete Time-Entropy Mapping Model (1)where entropy is defined through multiplicative accumulation , rigorously satisfying entropy increase ΔS>0 while maintaining logarithmic consistency with conventional entropy. (2) The model establishes a fundamental spacetime-entropy mapping that unifies global time (universe transformations), local time (local space transformations), and thermodynamic evolution, providing a new computational entropy coordinate for physical simulations. (3) Key theoretical implications include deriving the arrow of time from Space Elementary Quantum (SEQ) dynamics, explaining light-speed invariance , and suggesting dark energy/matter as emergent SEQ ground-state phenomena. (4) A distinctive falsifiable prediction emerges: a measurable difference between positron and electron magnetic moments due to chiral SEQ coupling, testable in precision experiments. (5) The model provides three foundational constraints for computational physics simulations: thermodynamic conservation laws (energy/momentum), entropy-driven evolution (ΔS≥0), and least-action path selection.