Quantum Phase Coherence, Least Action, and Entropy in Discrete Space A Triadic Framework from Microscopic Order to Macroscopic Irreversibility
Hamdi Bilgin Ergun
Abstract This work proposes a conceptual connection between phase coherence, the principle of least action, and entropy within a discrete spatial framework. Space is interpreted as a lattice of elementary phase-supporting units, where physical processes occur through phase propagation and closure. Coherent phase evolution corresponds to minimal action and stable transport, while the loss of phase coherence leads to an increase in accessible microscopic configurations and thus entropy. The framework suggests that macroscopic irreversibility may emerge from the progressive breakdown of microscopic phase alignment. Triadic phase propagation, characterized by three equivalent directions separated by 120°, naturally generates hexagonal spatial connectivity and enables phase-cycle closure. This provides a unified geometrical perspective linking quantum coherence, transport processes, and thermodynamic behavior.
•Mar 22, 2026•0 citations