The Logical Necessity of the Arrow of Time in Time Field Theory: A Proof from Ontology to Causality

This paper systematically demonstrates the arrow of time and fundamental irreversibility of time within the framework of Time Field Theory (TFT). Starting strictly from TFT’s axiomatic system, we establish three complementary proofs for temporal irreversibility: the Binding Thesis (ontological inseparability of mass and time), the State-Coordinate Distinction (epistemological separation of physical state repetition from temporal coordinate reversal), and the Causal Objection (dynamical irreversibility rooted in causal order). We prove that the arrow of time is not an emergent phenomenon or statistical approximation, but a logical necessity of TFT’s first principles. Time travel and temporal reversal are logically impossible because any massive observer cannot transcend the intrinsic time flow generated by its own mass. The present work belongs to the Time Field Theory (TFT) series and provides a rigorous axiomatic foundation for the unidirectional nature of time.