Topological Relaxation of Mathematical Knots via the Wolf-Toffoletto-Schutza (WTS) Action

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Main Author: Schutza, Aaron Moore
Format: Recurso digital
Published: Zenodo 2026
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author Schutza, Aaron Moore
author_facet Schutza, Aaron Moore
contents <p>This manuscript presents a comprehensive effective field theory, Axiomatic Physical Home-<br>ostasis (APH), which posits that physical laws are the emergent control mechanisms of a com-<br>putational substrate striving for persistence. By identifying the vacuum geometry with M-theory<br>on G2 manifolds and the algebraic structure with the Exceptional Jordan Algebra J(3, O), we de-<br>rive the Standard Model flavor hierarchy and the fine structure constant. A central result is the<br>derivation of the Geometric Stiffness of the QCD vacuum, βQCD ≈ 1.91, obtained via the<br>Wolf-Toffoletto-Schutza (WTS) action. This framework is extended to resolve the Millennium<br>Prize Problems by treating them as topological impedance matching problems and is applied to<br>the design of Rank-3 Filament Networks for Artificial General Intelligence.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_18166472
institution Zenodo
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publishDate 2026
publisher Zenodo
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spellingShingle Topological Relaxation of Mathematical Knots via the Wolf-Toffoletto-Schutza (WTS) Action
Schutza, Aaron Moore
<p>This manuscript presents a comprehensive effective field theory, Axiomatic Physical Home-<br>ostasis (APH), which posits that physical laws are the emergent control mechanisms of a com-<br>putational substrate striving for persistence. By identifying the vacuum geometry with M-theory<br>on G2 manifolds and the algebraic structure with the Exceptional Jordan Algebra J(3, O), we de-<br>rive the Standard Model flavor hierarchy and the fine structure constant. A central result is the<br>derivation of the Geometric Stiffness of the QCD vacuum, βQCD ≈ 1.91, obtained via the<br>Wolf-Toffoletto-Schutza (WTS) action. This framework is extended to resolve the Millennium<br>Prize Problems by treating them as topological impedance matching problems and is applied to<br>the design of Rank-3 Filament Networks for Artificial General Intelligence.</p>
title Topological Relaxation of Mathematical Knots via the Wolf-Toffoletto-Schutza (WTS) Action
url https://doi.org/10.5281/zenodo.18166472