The Algebra of Relational Coupling – Foundations of Dynamics and Gauge Emergence

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Autor principal: Pop, Rodica
Formato: Recurso digital
Publicado: Zenodo 2025
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author Pop, Rodica
author_facet Pop, Rodica
contents <p><span>This part establishes the algebraic and dynamic foundation for the coupling operator \hat{J}_{ij}</span><span><span>  </span>in Vibrational Geometrodynamics. We define the algebra of this operator as acting in the spin space of nodes, derive an effective action for the coupling field, and explore how non-local terms in this action can lead to the emergence of gauge-like structures. The model provides a bridge between the quantum regulation of coupling via spin (Part V) and the topological description of extended objects (Part VII).</span></p>
format Recurso digital
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publishDate 2025
publisher Zenodo
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spellingShingle The Algebra of Relational Coupling – Foundations of Dynamics and Gauge Emergence
Pop, Rodica
Quantum physics
Theoretical physics
String theory
Loop Quantum Gravity
Quantum Gravity
<p><span>This part establishes the algebraic and dynamic foundation for the coupling operator \hat{J}_{ij}</span><span><span>  </span>in Vibrational Geometrodynamics. We define the algebra of this operator as acting in the spin space of nodes, derive an effective action for the coupling field, and explore how non-local terms in this action can lead to the emergence of gauge-like structures. The model provides a bridge between the quantum regulation of coupling via spin (Part V) and the topological description of extended objects (Part VII).</span></p>
title The Algebra of Relational Coupling – Foundations of Dynamics and Gauge Emergence
topic Quantum physics
Theoretical physics
String theory
Loop Quantum Gravity
Quantum Gravity
url https://doi.org/10.5281/zenodo.17989358