Quantum Phase and Discrete Space A Channel-Based Interpretation of Time, Action, and Transport

Quantum Phase and Discrete Space A Channel-Based Interpretation of Time, Action, and Transport H. Bilgin Ergun, MSc.January 2026 — Bolu / TürkiyeORCID: 0009-0009-4733-4730 Abstract This book presents a unified conceptual framework for interpreting quantum and classical phenomena through discrete space, phase evolution, and channel formation. Rather than introducing new physical laws, it offers a geometrical and phase-based interpretation explaining why established principles such as least action, tunneling, interference, and lossless transport arise so robustly.Space is treated as a discrete phase-supporting structure in which physically meaningful events require completion of coherent phase cycles. Time is not assumed as a continuously flowing parameter, but emerges only after phase closure. Within this framework, transport phenomena are understood as phase-mediated channels rather than energetic violation or predefined trajectories.The approach provides a coherent interpretation of path integrals, tunneling, superconductivity, symmetry relaxation, and observer-induced decoherence, unifying them within a single phase-organized picture compatible with standard quantum formalism. Preface This book does not seek to replace established physical laws. Its purpose is to provide a geometrical and phase-based intuition explaining why those laws operate with such robustness across quantum and classical domains.The ideas presented here have been developed gradually through peer-reviewed articles and DOI-registered preprints. They are brought together in this volume to form a unified narrative accessible to physicists, engineers, and conceptually inclined readers interested in the foundations of physical theory.Author’s prior related work includes: A Phase-Coherence Interpretation of the Jahn–Teller Effect in Discrete Triadic Lattices, Zenodo (H. Bilgin Ergun), Record No: 18289641, Version 1, January 2026. Section 1 — Conceptual Interlude: Time Without Observation In phase-based descriptions, temporal ordering does not precede physical evolution; it emerges only after phase completion. Within a closed system evolving through discrete phase steps, intermediate configurations do not correspond to distinct moments in time but represent pre-temporal phase progressions.If an observer were present at every internal phase step, only the realized outcome would ever be accessible. Section 2 — Phase Selection and the Emergence of Least Action In the path–integral formulation introduced by Feynman, a system formally explores all conceivable trajectories between two configurations. Each path contributes with a phase factor determined by its action. Section 3 — Channel vs Channel-Free Propagation Energy may exist without direction, but direction does not arise without phase coherence. Section 4 — Phase-Guided Tunneling Quantum tunneling represents transport in which energetic transmission is suppressed while phase continuity persists. Section 5 — Collective Phase Locking and Lossless Transport Superconductivity represents the collective limit of phase-guided transport. Closure Note — Observation and Channel Disruption Observation disrupts phase continuity, collapsing channel multiplicity into a single route.