From Lepton Mass Hierarchy to Mass and Charge Ontology Cross Sector Consistency of a Collective Vacuum Model

This paper extends the Collective Vacuum Model developed in the preceding work on lepton geometry and mass hierarchies. Building on the interpretation of the vacuum as a neutral collective field with localized defect-like excitations, the present study broadens the framework from the charged-lepton sector toward a cross-sector ontology of mass, charge, baryonic topology, and possible hidden localization states. The charged-lepton hierarchy remains the quantitative starting point, with the empirical coefficient written as (\\alpha_{\\rm geom}=4\\pi Z_{\\rm vac}), separating a spinorial (4\\pi) reference, collective-vacuum dressing, and collision-induced generation geometry. The same structural coefficient is then examined through atomic-scale relations, running quark Yukawa couplings, and reverse consistency tests near the QCD scale. The charge sector is developed in terms of (e/3) topological charge units and its compatibility with the global electrostrong structure, while known solitonic and topological field constructions are used as mathematical precedents for baryonic sectors. The paper also explores weak sector-changing dynamics, interstitial hidden states, and a possible matter–antimatter segregation during vacuum ordering. The aim is not to replace the Standard Model or claim a first-principles microscopic derivation, but to continue the development of a compact vacuum-and-defect ontology and test whether the same underlying collective structure can remain numerically and mathematically coherent across several otherwise distinct sectors of particle physics.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22881520
Primary Topic
Quantum and Classical Electrodynamics
Type
preprint
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From Lepton Mass Hierarchy to Mass and Charge Ontology Cross Sector Consistency of a Collective Vacuum Model

Vytautas Gatelis
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
preprint

From Lepton Mass Hierarchy to Mass and Charge Ontology Cross Sector Consistency of a Collective Vacuum Model

Vytautas Gatelis
preprint en

Abstract

This paper extends the Collective Vacuum Model developed in the preceding work on lepton geometry and mass hierarchies. Building on the interpretation of the vacuum as a neutral collective field with localized defect-like excitations, the present study broadens the framework from the charged-lepton sector toward a cross-sector ontology of mass, charge, baryonic topology, and possible hidden localization states. The charged-lepton hierarchy remains the quantitative starting point, with the empirical coefficient written as (\alpha_{\rm geom}=4\pi Z_{\rm vac}), separating a spinorial (4\pi) reference, collective-vacuum dressing, and collision-induced generation geometry. The same structural coefficient is then examined through atomic-scale relations, running quark Yukawa couplings, and reverse consistency tests near the QCD scale. The charge sector is developed in terms of (e/3) topological charge units and its compatibility with the global electrostrong structure, while known solitonic and topological field constructions are used as mathematical precedents for baryonic sectors. The paper also explores weak sector-changing dynamics, interstitial hidden states, and a possible matter–antimatter segregation during vacuum ordering. The aim is not to replace the Standard Model or claim a first-principles microscopic derivation, but to continue the development of a compact vacuum-and-defect ontology and test whether the same underlying collective structure can remain numerically and mathematically coherent across several otherwise distinct sectors of particle physics.

Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
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From Lepton Mass Hierarchy to Mass and Charge Ontology Cross Sector Consistency of a Collective Vacuum Model — Vytautas Gatelis · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS