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The Universal 1/x^2 Suppression Principle: Extensions Across Physics, Geometry, and Information

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  • Stanley, Dustyn

Abstract

We present an exhaustive exploration of the universal inverse-square suppression law, f(x) ∝ 1/x^2, showing its manifestation across gravitational, electromagnetic, quantum informational, optical, acoustic, and biological domains. We develop a unified interpretation wherein suppression is the inevitable result of entropic spreading in phase space, connecting spatial distance, energy scale, entropy density, and coherence. Furthermore, we extend this framework to demonstrate the emergent nature of physical constants (G, hbar, c, alpha) as fossilized ratios from universal entropic suppression dynamics. A comprehensive map is developed linking suppression geometry to physical law.

Suggested Citation

  • Stanley, Dustyn, 2025. "The Universal 1/x^2 Suppression Principle: Extensions Across Physics, Geometry, and Information," OSF Preprints 2ncqh_v1, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:2ncqh_v1
    DOI: 10.31219/osf.io/2ncqh_v1
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    1. Stanley, Dustyn, 2025. "Emergent Coherence: A Unified Framework for Fundamental Constants," OSF Preprints 96akn_v1, Center for Open Science.
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