Octave Pairs Across the Particle Spectrum The Second Level of the Musical Model of the Universe

AbstractIn previous works, octave kinship was analyzed relative to the electron: for pairs A/e, the values ΔN and δ_pair were calculated. This yielded a network, rather than a single unique pair.The present work takes the next step. We move away from the electron as the sole reference point and examine all pairs among the principal particles. The results are unexpected: the cleanest pair in the entire spectrum is π⁰/e, not p/e. There are pairs cleaner than p/e: p/H, μ/τ, τ/p. Octave proximity is not a unique property of one pair, but a whole network.However, a clean pair is not the same as a stable pair. Verification against real bound states shows that octave proximity is merely a possibility; its realization also requires stability.The work introduces three levels of the model (N, ΔN, δ_sem), conducts a verification against the physics of bound states, and outlines a connection to the quark model (QCD). The model is descriptive in nature: it identifies numerical patterns and offers a language for discussing them, but does not claim predictive power.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23728417
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Octave Pairs Across the Particle Spectrum The Second Level of the Musical Model of the Universe

Elena Bozhenko
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Octave Pairs Across the Particle Spectrum The Second Level of the Musical Model of the Universe

Elena Bozhenko
preprint en

Abstract

AbstractIn previous works, octave kinship was analyzed relative to the electron: for pairs A/e, the values ΔN and δ_pair were calculated. This yielded a network, rather than a single unique pair.The present work takes the next step. We move away from the electron as the sole reference point and examine all pairs among the principal particles. The results are unexpected: the cleanest pair in the entire spectrum is π⁰/e, not p/e. There are pairs cleaner than p/e: p/H, μ/τ, τ/p. Octave proximity is not a unique property of one pair, but a whole network.However, a clean pair is not the same as a stable pair. Verification against real bound states shows that octave proximity is merely a possibility; its realization also requires stability.The work introduces three levels of the model (N, ΔN, δ_sem), conducts a verification against the physics of bound states, and outlines a connection to the quark model (QCD). The model is descriptive in nature: it identifies numerical patterns and offers a language for discussing them, but does not claim predictive power.

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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