Coherence as a Geometric Principle: A Potential Unification Path Linking Information Flow, Spacetime Structure, and Quantum Dynamics
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2025
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| _version_ | 1866901795795632128 |
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| author | Steven, Jordan Orion |
| author_facet | Steven, Jordan Orion |
| contents | <p>We propose a geometric framework in which coherence—defined as the divergence of a 5-</p> <p>dimensional information vector field—acts as a unifying quantity linking spacetime geometry,</p> <p>information flow, and quantum dynamics. A single postulate, the Coherence Flow Principle,</p> <p>asserts that the evolution of physical fields maximizes the rate of increase of a coherence func-</p> <p>tional. From this, a natural Hodge decomposition of the information vector field generates</p> <p>gradient, curl, and harmonic components, giving rise respectively to: (i) coherence-maximizing</p> <p>flow, (ii) rotational or spiral dynamics, and (iii) large-scale geometric structure. A minimal</p> <p>5D action yields field equations whose Kaluza–Klein reduction reproduces the Klein–Gordon</p> <p>equation in four dimensions and produces the Schr¨odinger equation in the non-relativistic limit.</p> <p>This structure suggests that what appears as quantum behavior in 4D may originate from geo-</p> <p>metric information dynamics in a higher-dimensional setting. We discuss potential implications</p> <p>for unification, including emergent persistence, attractor-like structure, the arrow of time, and</p> <p>the relationship between coherence and curvature.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17736025 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Coherence as a Geometric Principle: A Potential Unification Path Linking Information Flow, Spacetime Structure, and Quantum Dynamics Steven, Jordan Orion Complexity Theory Entropic Gravity Thermodynamics Quantum Physics Artificial intelligence Statistical mechanics Information Technology Consciousness Entropy Artificial Life Nonlinear Dynamics <p>We propose a geometric framework in which coherence—defined as the divergence of a 5-</p> <p>dimensional information vector field—acts as a unifying quantity linking spacetime geometry,</p> <p>information flow, and quantum dynamics. A single postulate, the Coherence Flow Principle,</p> <p>asserts that the evolution of physical fields maximizes the rate of increase of a coherence func-</p> <p>tional. From this, a natural Hodge decomposition of the information vector field generates</p> <p>gradient, curl, and harmonic components, giving rise respectively to: (i) coherence-maximizing</p> <p>flow, (ii) rotational or spiral dynamics, and (iii) large-scale geometric structure. A minimal</p> <p>5D action yields field equations whose Kaluza–Klein reduction reproduces the Klein–Gordon</p> <p>equation in four dimensions and produces the Schr¨odinger equation in the non-relativistic limit.</p> <p>This structure suggests that what appears as quantum behavior in 4D may originate from geo-</p> <p>metric information dynamics in a higher-dimensional setting. We discuss potential implications</p> <p>for unification, including emergent persistence, attractor-like structure, the arrow of time, and</p> <p>the relationship between coherence and curvature.</p> |
| title | Coherence as a Geometric Principle: A Potential Unification Path Linking Information Flow, Spacetime Structure, and Quantum Dynamics |
| topic | Complexity Theory Entropic Gravity Thermodynamics Quantum Physics Artificial intelligence Statistical mechanics Information Technology Consciousness Entropy Artificial Life Nonlinear Dynamics |
| url | https://doi.org/10.5281/zenodo.17736025 |