Is Time Real? Entropy, Relativity, and the Human Experience of Time: A Theoretical and Computational Exploration of the Arrow of Time

This preprint investigates whether the directional flow of time is a fundamental feature of reality or an emergent phenomenon arising from entropy increase, physical records, and memory. The paper reviews time in classical mechanics, special relativity, general relativity, thermodynamics, and philosophy of time, then develops a simple one-dimensional binary mixing simulation to illustrate macroscopic irreversibility. The computational model begins in a highly ordered state and evolves through random reversible pairwise swaps. Local block entropy and an order parameter are tracked over time. The results show that an initially ordered configuration rapidly evolves toward a high-entropy mixed state, supporting the idea that the arrow of time can emerge statistically from low-entropy initial conditions rather than from a fundamental time-asymmetric microscopic rule. This work is shared as a preprint and has not yet undergone formal peer review.