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Main Author: Radcliffe, Barry Kieran
Format: Recurso digital
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.19151085
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author Radcliffe, Barry Kieran
author_facet Radcliffe, Barry Kieran
contents <p>This paper extends the Relational Lens framework to the structure of matter, exploring whether particle properties—particularly mass, confinement, and hierarchy—can be understood as consequences of a bounded relational spacetime domain. In previous work, spacetime was interpreted as existing between two complementary limits: a contraction/localization boundary associated with singular behavior and a propagation/separation boundary defined by motion at the invariant speed of light, .</p> <p>Within this framework, we propose that mass may be interpreted as a measure of a system’s bias toward localization relative to propagation. Systems that lean toward propagation exhibit wave-like, delocalized behavior and minimal rest mass, while systems that lean toward localization exhibit stronger confinement, persistence of structure, and greater mass-like character. The observed hierarchy of particle masses is then examined as a possible manifestation of discrete stable equilibria within this bounded domain, analogous to allowed modes in constrained systems.</p> <p>The paper further explores the distinction between fundamental and composite particles, suggesting that fundamental particles may represent primary relational equilibria, while composite systems emerge as nested structures of localization stabilized through confinement. The electron is considered as an intermediate case, exhibiting both propagation and localization characteristics and serving as a bridge between regimes.</p> <p>This work does not modify the established formalism of particle physics, but instead offers a unifying conceptual interpretation that connects mass, confinement, and particle hierarchy within a single relational framework. The results suggest that the diversity of particle properties may reflect structured equilibria governed by the same underlying constraints that organize physical law more broadly.</p>
format Recurso digital
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institution Zenodo
language
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Paper 23 Mass and Particle Structure as Relational Equilibria Between Localization and Propagation
Radcliffe, Barry Kieran
<p>This paper extends the Relational Lens framework to the structure of matter, exploring whether particle properties—particularly mass, confinement, and hierarchy—can be understood as consequences of a bounded relational spacetime domain. In previous work, spacetime was interpreted as existing between two complementary limits: a contraction/localization boundary associated with singular behavior and a propagation/separation boundary defined by motion at the invariant speed of light, .</p> <p>Within this framework, we propose that mass may be interpreted as a measure of a system’s bias toward localization relative to propagation. Systems that lean toward propagation exhibit wave-like, delocalized behavior and minimal rest mass, while systems that lean toward localization exhibit stronger confinement, persistence of structure, and greater mass-like character. The observed hierarchy of particle masses is then examined as a possible manifestation of discrete stable equilibria within this bounded domain, analogous to allowed modes in constrained systems.</p> <p>The paper further explores the distinction between fundamental and composite particles, suggesting that fundamental particles may represent primary relational equilibria, while composite systems emerge as nested structures of localization stabilized through confinement. The electron is considered as an intermediate case, exhibiting both propagation and localization characteristics and serving as a bridge between regimes.</p> <p>This work does not modify the established formalism of particle physics, but instead offers a unifying conceptual interpretation that connects mass, confinement, and particle hierarchy within a single relational framework. The results suggest that the diversity of particle properties may reflect structured equilibria governed by the same underlying constraints that organize physical law more broadly.</p>
title Paper 23 Mass and Particle Structure as Relational Equilibria Between Localization and Propagation
url https://doi.org/10.5281/zenodo.19151085