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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.15721025 |
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Table of Contents:
- <p>We revisit the foundations of quantum theory through the lens of scalar phase geometry and propose a reformulation in which quantization emerges from global constraints on accumulated action. By comparing the phase behavior of photons and electrons, we argue that quantum evolution is more naturally described in terms of action rather than spacetime or energy alone. <br>In this framework—termed Action-Wave Space—all physical systems evolve on a four-dimensional manifold whose coordinates are integrals of momentum and energy. A single real scalar field defines both the geometry and dynamics of this space. Quantization arises not from operator rules, but from the requirement that the scalar phase remains coherent around closed paths in this manifold. <br>This approach unifies quantum discreteness, interference, and classical limits within a single geometric structure. It replaces the conventional wave-particle duality with a topological condition on scalar phase, and provides a covariant, background-independent foundation for quantum mechanics rooted in the geometry of action.<br><br><strong>This paper serves as an introduction to the Action-Wave Space program and provides historical motivation and conceptual grounding for the geometric and topological principles developed in later AWS work.</strong></p>