The Underestimated Relatives. From Electron Architecture to a Vortical Family Grammar

This article extends the vortical partiwave ontology from the electron to a broader family of quantum relatives: the positron, proton, neutron, neutrino, and mesons. Starting from a comparative anatomy organised around three levels---knotter, vortices, and whole architecture---we explore how recurrent physical characters may be preserved, inverted, rescaled, recombined, neutralised, or reorganised across different partiwaves. The knotter is developed as a topological organisation of the Scenario characterised by topology, geometry, and apriete (م), while the antitwin involution (ר) provides a common transformation between enantiomorphic architectures. The positron is treated as the electron's antitwin, the proton as a distinct recombination of related family characters, and neutron and neutrino as electrically neutral architectures whose shared neutrality may arise through different internal organisations. Mesons extend the framework toward configurational multiplicity, introducing the distinction between knotter formation and consolidation and opening characteristic lifetime as a question of architectural persistence. Across these cases, the article develops a family grammar in which measured properties constrain possible vortical--topological realisations and in which apparently different quantum entities may emerge from a recurrent set of organisational principles. The resulting ontology exhibits both backward fertility, by reorganising known particle relations, and forward fertility, by generating new questions concerning topology, persistence, discreteness, propagation, and the mathematical structure of physical knots.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-05
DOI
https://doi.org/10.5281/zenodo.23146467
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

The Underestimated Relatives. From Electron Architecture to a Vortical Family Grammar

Daniel Avilés Hurtado
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

The Underestimated Relatives. From Electron Architecture to a Vortical Family Grammar

Daniel Avilés Hurtado
preprint en

Abstract

This article extends the vortical partiwave ontology from the electron to a broader family of quantum relatives: the positron, proton, neutron, neutrino, and mesons. Starting from a comparative anatomy organised around three levels---knotter, vortices, and whole architecture---we explore how recurrent physical characters may be preserved, inverted, rescaled, recombined, neutralised, or reorganised across different partiwaves. The knotter is developed as a topological organisation of the Scenario characterised by topology, geometry, and apriete (م), while the antitwin involution (ר) provides a common transformation between enantiomorphic architectures. The positron is treated as the electron's antitwin, the proton as a distinct recombination of related family characters, and neutron and neutrino as electrically neutral architectures whose shared neutrality may arise through different internal organisations. Mesons extend the framework toward configurational multiplicity, introducing the distinction between knotter formation and consolidation and opening characteristic lifetime as a question of architectural persistence. Across these cases, the article develops a family grammar in which measured properties constrain possible vortical--topological realisations and in which apparently different quantum entities may emerge from a recurrent set of organisational principles. The resulting ontology exhibits both backward fertility, by reorganising known particle relations, and forward fertility, by generating new questions concerning topology, persistence, discreteness, propagation, and the mathematical structure of physical knots.

Zenodo (CERN European Organization for Nuclear Research)
Comunidad Autónoma de la Región de Murcia (ES)
Advanced Mathematical Theories and Applications
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