Majorana Fermions as Self-Conjugate Triadic Closures: Bridging the Harmonic Triad Theory with Infinite-Component Lorentz Representations

We propose a natural embedding of Majorana fermions within the pre-geometric frameworkof the Harmonic Triad Theory. By introducing a relational charge conjugation operatorC acting on triadic phase configurations, we show that the Majorana condition ψ = ψC correspondsgeometrically to a self-dual triadic closure with vanishing net relational charge.This approach derives the Majorana mass parameter from the fundamental frequency ν0and synchronization threshold Kc, and embeds the dynamics into infinite-component unitaryrepresentations of the Lorentz group. The result elevates Majorana’s theory from anisolated curiosity to a fundamental manifestation of the triadic architecture of coherent reality.We derive explicit experimental predictions for neutrinoless double beta decay andanalog synchronization systems.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-28
DOI
https://doi.org/10.5281/zenodo.20424560
Primary Topic
Neutrino Physics Research
Type
preprint
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preprint

Majorana Fermions as Self-Conjugate Triadic Closures: Bridging the Harmonic Triad Theory with Infinite-Component Lorentz Representations

Mauro Mameli
Zenodo (CERN European Organization for Nuclear Research)
Neutrino Physics Research
preprint

Majorana Fermions as Self-Conjugate Triadic Closures: Bridging the Harmonic Triad Theory with Infinite-Component Lorentz Representations

Mauro Mameli
preprint en

Abstract

We propose a natural embedding of Majorana fermions within the pre-geometric frameworkof the Harmonic Triad Theory. By introducing a relational charge conjugation operatorC acting on triadic phase configurations, we show that the Majorana condition ψ = ψC correspondsgeometrically to a self-dual triadic closure with vanishing net relational charge.This approach derives the Majorana mass parameter from the fundamental frequency ν0and synchronization threshold Kc, and embeds the dynamics into infinite-component unitaryrepresentations of the Lorentz group. The result elevates Majorana’s theory from anisolated curiosity to a fundamental manifestation of the triadic architecture of coherent reality.We derive explicit experimental predictions for neutrinoless double beta decay andanalog synchronization systems.

Zenodo (CERN European Organization for Nuclear Research)
Neutrino Physics Research
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