Global Regularity of the 3D Incompressible Navier-Stokes Equations via Holographic Cutoff Regularization
Year: 2026
Type: article
Abstract: Wepresent a proof of global existence and smoothness for solutions to the 3D incompressible Navier-Stokes equations for arbitrary smooth initial data. Unlike classical approachesthat attempt to control the energy cascade within a continuum R3, we embed the fluiddomain within the ENTROPIX-MESA Unified Framework. We demonstrate that thephysical universe imposes a fundamental geometric cutoff length Lmin ≈ 7.283Lp, derivedfrom the holographic entropy bound of the SYK Tensor substrate. This cutoff introduces anatural regularization operator RL that bounds the vorticity magnitude ∥ω∥L∞, satisfyingthe Beale-Kato-Majda (BKM) blow up criterion. Consequently, finite time singularities arephysically impossible
Author: Preschutti, Stanley
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7128906732
FWCI:
Cites:
Cited by:
Related to: