Geometric Unification Draft based on BNC Theory Mass, Mixing, and Λ Integration with 27-Particle Structure Classification

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Autore principale: Takahashi, Tamiyuki
Natura: Recurso digital
Pubblicazione: Zenodo 2025
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author Takahashi, Tamiyuki
author_facet Takahashi, Tamiyuki
contents <p>This study, grounded in the <strong>Bulk Network Cosmology (BNC)</strong> theory and the proposition that "<strong>Existence is Response</strong>," demonstrates that the <strong>Higgs structure</strong>, <strong>neutrino mixing</strong>, and the <strong>Cosmological Constant (<span>$\Lambda$</span>)</strong> are derived in a unified manner as geometric responses to <strong>spatial defects</strong>. The Higgs field is redefined not as a scalar field but as an elastic defect structure (a continuum of <span>$K$</span>-terms) pervading the cosmos. Neutrinos acquire mass and the PMNS mixing structure by localizing at the structure's endpoints. The Cosmological Constant <span>$\Lambda$</span> is derived as an area response corresponding to the semantic closure of space, given by <span>$\Lambda = \frac{\pi}{4}\,\frac{A_r}{\ell^4}$</span>, and is structurally dominant over gravity. Furthermore, a framework for classifying the 12 Standard Model flavors and 15 theoretically predicted geometric candidates (a total of 27 particles) is presented, based on geometric parameters such as the defect opening angle (<span>$\theta$</span>), mean curvature (<span>$\tilde{\kappa}$</span>), and winding number (<span>$w$</span>). This classification suggests the geometric origin of mass hierarchy and CP phases, providing observable signatures in high-frequency gravitational waves and gamma-ray bursts.</p>
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publishDate 2025
publisher Zenodo
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spellingShingle Geometric Unification Draft based on BNC Theory Mass, Mixing, and Λ Integration with 27-Particle Structure Classification
Takahashi, Tamiyuki
Bulk Network Cosmology (BNC)
Geometric Unification
Cosmological Constant (Λ)
Higgs Mechanism
Neutrino Mixing
PMNS Matrix
27-Particle Classification
<p>This study, grounded in the <strong>Bulk Network Cosmology (BNC)</strong> theory and the proposition that "<strong>Existence is Response</strong>," demonstrates that the <strong>Higgs structure</strong>, <strong>neutrino mixing</strong>, and the <strong>Cosmological Constant (<span>$\Lambda$</span>)</strong> are derived in a unified manner as geometric responses to <strong>spatial defects</strong>. The Higgs field is redefined not as a scalar field but as an elastic defect structure (a continuum of <span>$K$</span>-terms) pervading the cosmos. Neutrinos acquire mass and the PMNS mixing structure by localizing at the structure's endpoints. The Cosmological Constant <span>$\Lambda$</span> is derived as an area response corresponding to the semantic closure of space, given by <span>$\Lambda = \frac{\pi}{4}\,\frac{A_r}{\ell^4}$</span>, and is structurally dominant over gravity. Furthermore, a framework for classifying the 12 Standard Model flavors and 15 theoretically predicted geometric candidates (a total of 27 particles) is presented, based on geometric parameters such as the defect opening angle (<span>$\theta$</span>), mean curvature (<span>$\tilde{\kappa}$</span>), and winding number (<span>$w$</span>). This classification suggests the geometric origin of mass hierarchy and CP phases, providing observable signatures in high-frequency gravitational waves and gamma-ray bursts.</p>
title Geometric Unification Draft based on BNC Theory Mass, Mixing, and Λ Integration with 27-Particle Structure Classification
topic Bulk Network Cosmology (BNC)
Geometric Unification
Cosmological Constant (Λ)
Higgs Mechanism
Neutrino Mixing
PMNS Matrix
27-Particle Classification
url https://doi.org/10.5281/zenodo.17452939