The Arrow of Time driven by the entropy increase under the mapping model between time set and computable analytic multiplicative Entropy set
- Publié
- Serveur de preprints
- Zenodo
- DOI
- 10.5281/zenodo.15230098
ABSTRACT: This study introduces a discrete Time-Entropy Mapping Model 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.
Key words: multiplicative entropy; space-time-entropy mapping; thermodynamic time arrow; entropy coordinate;