Navier-Stokes Regularity as an Emergent Consequence of the 1/E^2 Entropic Suppression Law

Dustyn Stanley

No pq8bt_v1, OSF Preprints from Center for Open Science

Abstract: We present a unifying perspective in which the global regularity of the three-dimensional incompressible Navier–Stokes equations emerges naturally from a universal entropic suppression mechanism governed by a 1⁄E² decay law. Building on a recently completed proof of global existence and smoothness for initial data in Hˢ(ℝ³), with s > 5⁄2, we reinterpret the mathematical architecture through the lens of entropy-weighted coherence decay. We demonstrate that log-entropy dissipation, Gevrey-class smoothing, Lipschitz control, and Carleman-based uniqueness each instantiate components of an overarching physical law: high-energy localization is entropically suppressed according to an inverse-square energy scale. We propose this as a universal principle of entropic geometry underlying coherence protection across disciplines — including quantum field theory, general relativity, renormalization group flows, and turbulence.

Date: 2025-05-16
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Persistent link: https://EconPapers.repec.org/RePEc:osf:osfxxx:pq8bt_v1

DOI: 10.31219/osf.io/pq8bt_v1

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