Year: 1993
Type: preprint
Abstract: The Navier-Stokes global regularity problem asks whether smooth initial conditions always lead to smooth solutions. We argue this question reveals a fundamental incompleteness in classical continuum mechanics: the assumption thatphysical properties can achieve actual infinity. We introduce the Principle of Universal Boundedness using a Complete Definiteness axiom 2 (Cdef-2), which assertsthat infinity exists only as a process (potentiality), never as a destination (actuality). By recognizing that quantum mechanics imposes a fundamental floor onspatial localization, we show that the singularities predicted by continuum models are mathematical artifacts. Global regularity emerges not as a mathematicaltheorem to prove, but as a physical law enforced by the quantum structure of nature.
Source: arXiv (Cornell University)
Author: Hooft, G. 't
Institution: Utrecht University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2158033100