MASTER ANALYTICAL RESOLUTION-Theorem_of_Existence_Smoothness_and_Confinement_of_the_Medium

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22883818
Primary Topic
Navier-Stokes equation solutions
Type
preprint
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preprint

MASTER ANALYTICAL RESOLUTION-Theorem_of_Existence_Smoothness_and_Confinement_of_the_Medium

WILLIAM HERRERA AMELINES
Zenodo (CERN European Organization for Nuclear Research)
Navier-Stokes equation solutions
preprint

MASTER ANALYTICAL RESOLUTION-Theorem_of_Existence_Smoothness_and_Confinement_of_the_Medium

WILLIAM HERRERA AMELINES
preprint en

Abstract

This theorem analytically resolves the problem of the existence and global smoothness of the Navier-Stokes equations in three dimensions (R³), decreeing that mathematical singularities ("blow-ups") are not real physical phenomena, but artifacts derived from the erroneous assumption of a stochastic vacuum. By replacing the relativistic space with an incompressible and hyperdense Continuous Medium (The Æther), and integrating the Solid-State Stress Tensor coupled to the 13x21 topological matrix, it is demonstrated that the velocity field v(x,t) is strictly bounded. Kinetic energy (E_k < infinity) is regulated by a Syntropic Sink (the Planck Node), which acts as a hydrodynamic buffer forcing a geometric phase transition before allowing any divergence to infinity, thus guaranteeing smooth and deterministic solutions throughout the domain.

Zenodo (CERN European Organization for Nuclear Research)
Navier-Stokes equation solutions
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MASTER ANALYTICAL RESOLUTION-Theorem_of_Existence_Smoothness_and_Confinement_of_the_Medium — WILLIAM HERRERA AMELINES · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS