Emergence of Flavor Mixing, CKM Hierarchy, and CP Violation from a Resonant Brane Model (ERB) – Preprint & Stability Proof
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| Format: | Recurso digital |
| Language: | English |
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2026
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| _version_ | 1866902328190173184 |
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| author | Speckmann, Daniel |
| author_facet | Speckmann, Daniel |
| contents | <p>This paper presents version 10 of the Emergent Resonant Brane (ERB) model, which defines elementary particles as resonant oscillation nodes within an elastic vacuum brane (tension <span>$\epsilon_0 \approx 0.1099$</span>). The central element of this framework is the identification of a fundamental 7.02% geometric asymmetry ("gap") between the up- and down-quark sectors, acting as the mechanical driver for global phase synchronization.</p> <p>We mathematically derive that the system enforces a topological phase-lock at <span>$\gamma = 2\pi$</span>, enabling the definition of a stable 4-pi fermion state. We demonstrate the existence of an algebraic coupling between the dispersion exponent <span>$\beta$</span> of the whip-core and the mass-scaling exponent <span>$\alpha$</span> in the form of <span>$\alpha \cdot \beta = \gamma = 2\pi$</span>. This relation allows for the direct calculation of the fine-structure constant <span>$\alpha_{em}$</span> as a mechanical amplitude ratio with 99.9% accuracy relative to experimental values.</p> <p>Furthermore, the observed hierarchy of the six quark masses—including the extreme scaling factor of <span>$8 \cdot 10^4$</span> between the up and top quarks—is attributed to an exponential <span>$r^{2\pi}$</span> dependence. While the topological structure is strictly dictated by <span>$2\pi$</span>, we identify a remaining numerical divergence as the effect of a transducer operator <span>$T$</span>. This operator mediates between the "naked" Bessel geometry and the effective inertia of the brane. The consistency of the model is validated through a simultaneous fit of both isospin sectors, where the "honest limit" of the theory is discussed as a necessary consequence of vacuum warping effects.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19115308 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Emergence of Flavor Mixing, CKM Hierarchy, and CP Violation from a Resonant Brane Model (ERB) – Preprint & Stability Proof Speckmann, Daniel Emergent gauge symmetry, CKM matrix, CP violation, Jarlskog invariant, U(1) x SU(2) x SU(3), Resonant Brane Model, Flavor Clock, Whip effect, topological modes, quantum field theory, lattice simulation, numerical validation emergent gauge symmetry CKM matrix CP violation Jarlkog invariant quantum field theory <p>This paper presents version 10 of the Emergent Resonant Brane (ERB) model, which defines elementary particles as resonant oscillation nodes within an elastic vacuum brane (tension <span>$\epsilon_0 \approx 0.1099$</span>). The central element of this framework is the identification of a fundamental 7.02% geometric asymmetry ("gap") between the up- and down-quark sectors, acting as the mechanical driver for global phase synchronization.</p> <p>We mathematically derive that the system enforces a topological phase-lock at <span>$\gamma = 2\pi$</span>, enabling the definition of a stable 4-pi fermion state. We demonstrate the existence of an algebraic coupling between the dispersion exponent <span>$\beta$</span> of the whip-core and the mass-scaling exponent <span>$\alpha$</span> in the form of <span>$\alpha \cdot \beta = \gamma = 2\pi$</span>. This relation allows for the direct calculation of the fine-structure constant <span>$\alpha_{em}$</span> as a mechanical amplitude ratio with 99.9% accuracy relative to experimental values.</p> <p>Furthermore, the observed hierarchy of the six quark masses—including the extreme scaling factor of <span>$8 \cdot 10^4$</span> between the up and top quarks—is attributed to an exponential <span>$r^{2\pi}$</span> dependence. While the topological structure is strictly dictated by <span>$2\pi$</span>, we identify a remaining numerical divergence as the effect of a transducer operator <span>$T$</span>. This operator mediates between the "naked" Bessel geometry and the effective inertia of the brane. The consistency of the model is validated through a simultaneous fit of both isospin sectors, where the "honest limit" of the theory is discussed as a necessary consequence of vacuum warping effects.</p> |
| title | Emergence of Flavor Mixing, CKM Hierarchy, and CP Violation from a Resonant Brane Model (ERB) – Preprint & Stability Proof |
| topic | Emergent gauge symmetry, CKM matrix, CP violation, Jarlskog invariant, U(1) x SU(2) x SU(3), Resonant Brane Model, Flavor Clock, Whip effect, topological modes, quantum field theory, lattice simulation, numerical validation emergent gauge symmetry CKM matrix CP violation Jarlkog invariant quantum field theory |
| url | https://doi.org/10.5281/zenodo.19115308 |