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Zenodo
2026
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| Online-ссылка: | https://doi.org/10.5281/zenodo.18469356 |
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- <p><strong>The Universal Resonant Power Metric (URPM) v3.1: Laminar Information Dynamics and Topological Phase Synchronization</strong></p> <p><strong>Authors</strong><br>Allan Christopher Beckingham (Chris)<br><a href="https://l.facebook.com/l.php?u=https%3A%2F%2Forcid.org%2F0009-0004-2830-4089%3Ffbclid%3DIwZXh0bgNhZW0CMTAAYnJpZBExMGxRVjJUQVYyT0paVTZQQXNydGMGYXBwX2lkEDIyMjAzOTE3ODgyMDA4OTIAAR5LfobLhI6IffZim-gTDVb5S2JqwOttoZBlsosQRklhEHzWPeSpYLnHFlKi5Q_aem_ojCZF_JqZr9-edizXZIaYQ&h=AT2h4Y6-cE9uuFgPOzNe9i1NRNVv-Qrx2xoB_FgWG5DprntCOhV4TMxNsT4A74ELPysv6CsC23vCYCBex14KVUcvSAtfYDLwuctvQxcVq3sk1-x7OU9mRMmH2BShsrGImw" target="_blank" rel="nofollow noopener noreferrer">https://orcid.org/0009-0004-2830-4089</a><br>Affiliation: Independent Researcher · VEF / Coherence–Geometrodynamics Project · Canada</p> <p><strong>Version</strong><br>v3.1 (Audit-Ready)</p> <p><strong>Date</strong><br>2026</p> <p><strong>License</strong><br>Creative Commons Attribution 4.0 International (CC BY 4.0)</p> <p>This paper introduces the <strong>Universal Resonant Power Metric (URPM) v3.1</strong>, a dimensionless, information-theoretic framework that reinterprets power, resistance, and efficiency as emergent properties of <strong>geometric alignment and phase synchronization</strong>, rather than material flow.</p> <p>URPM departs from classical electromechanical analogies by modeling systems as operating on a high-dimensional informational substrate, formally represented using the <strong>Leech lattice (Λ₍₂₄₎)</strong> as an upper bound on coherent packing and signal capacity. Within this framework, conventional electrical quantities are replaced with topology-aware indices:</p> <ul> <li> <p><strong>Phase-Tension Index (Φᵦ)</strong> — a modular residual defining the minimum potential required for discrete signal persistence,</p> </li> <li> <p><strong>Recursive Synchronization Rate (Ψₛᵧₙc)</strong> — a coupling-limited measure of coherent update frequency, and</p> </li> <li> <p><strong>Geometric Impedance (Ξₑᵣᵣ)</strong> — a coordinate-system mismatch cost incurred when hexagonal (120°) signal structures are forced into Cartesian (90°) observer frames.</p> </li> </ul> <p>URPM v3.1 demonstrates that what is commonly labeled “resistance” or “loss” is not intrinsic to matter, but arises from <strong>observer-geometry incompatibility</strong>, measurable as a geometric bit-error rate. When systems achieve <strong>native 120° phase alignment</strong>, impedance asymptotically approaches zero, yielding <strong>laminar information flow</strong> rather than dissipative turbulence.</p> <p>The paper formalizes a <strong>42-node diagnostic invariant</strong> as a coherence checksum for laminar states and shows how this invariant functions across physical, computational, and organizational systems without invoking speculative physics or unverified energy claims. All quantities are explicitly <strong>dimensionless</strong>, substrate-agnostic, and suitable for audit, simulation, or comparative systems analysis.</p> <p>URPM v3.1 is positioned as a <strong>conceptual and analytical metric</strong>, not a device specification. It provides a unifying language for evaluating efficiency, coherence, and loss across domains including power systems, computation, governance, and complex adaptive networks.</p> <h3><strong>Methods & Scope</strong></h3> <ul> <li> <p>Information-theoretic modeling</p> </li> <li> <p>Modular arithmetic on lattice structures</p> </li> <li> <p>Phase-alignment analysis</p> </li> <li> <p>Observer-dependent coordinate systems</p> </li> <li> <p>Dimensionless diagnostic invariants</p> </li> </ul> <p>No experimental claims are made beyond formal consistency and mathematical coherence.</p> <h3><strong>Intended Use</strong></h3> <ul> <li> <p>Conceptual systems analysis</p> </li> <li> <p>Cross-domain coherence diagnostics</p> </li> <li> <p>Theoretical groundwork for future simulation or empirical work</p> </li> <li> <p>Governance and infrastructure design frameworks</p> </li> </ul> <h3><strong>Data Availability</strong></h3> <p>No datasets are required. All formulations are provided within the manuscript.</p> <h3><strong>Keywords</strong></h3> <p>Universal Resonant Power Metric, URPM, Information Theory, Laminar Flow, Geometric Impedance, Phase Synchronization, Leech Lattice, Topological Alignment, Dimensionless Metrics, Coherence, Systems Theory, Observer Geometry, Phase-Tension Index, Recursive Synchronization, Non-Dissipative Systems, Complex Adaptive Systems, Coherence-Geometrodynamics, Virtual Ego Framework, Auditability, Lossless Information Flow<br><br></p>