Universal Flavour Geometry (ERB Framework) Complete Algebraic Closure: Quarks, Bosons, and CKM Mixing
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| Format: | Recurso digital |
| Sprache: | Englisch |
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2026
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| _version_ | 1866902328354799616 |
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| author | Speckmann, Daniel |
| author_facet | Speckmann, Daniel |
| contents | <p>The <strong>Emergent Resonant Brane (ERB) framework</strong> presents a purely geometric derivation of the fundamental parameters of the Standard Model. This work achieves a complete algebraic closure, reducing the 22 free parameters of the flavour sector—including gauge boson and Higgs masses—to a single geometric seed: the hexagonal vacuum attractor (<span>$\xi = 3/2$</span>).</p> <p>By modeling the vacuum as a collision of two branes (<span>$N_B=2$</span>), we derive the three fermion generations as stationary SO(3) modes within a spherical cavity. Key findings include:</p> <ul> <li> <p><strong>Mass Derivations:</strong> The Top-quark mass is identified as a natural Euler-decay (<span>$m_t = \Lambda/e$</span>) of the energy scale <span>$\Lambda$</span>.</p> </li> <li> <p><strong>Gauge Sector:</strong> <span>$W, Z,$</span> and <span>$Higgs$</span> masses are calculated as torsional responses to vacuum strain, matching experimental data with <span>$>99\%$</span> accuracy.</p> </li> <li> <p><strong>Mixing Dynamics:</strong> CKM and PMNS matrices are derived as geometric projections, identifying the CP-violating phase as a hexagonal lock-in (<span>$60^\circ$</span>) shifted by Berry curvature.</p> </li> </ul> <p>The framework is validated via the <strong>ERB Diamond Master Engine (v66)</strong>, a Python-based implementation that reproduces all 13 primary constants without the use of free fit-parameters.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19357497 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Universal Flavour Geometry (ERB Framework) Complete Algebraic Closure: Quarks, Bosons, and CKM Mixing 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 Mass Hierarchy Emergent Symmetry Einstein-Field-Theory Bessel Functions Inertial Warping <p>The <strong>Emergent Resonant Brane (ERB) framework</strong> presents a purely geometric derivation of the fundamental parameters of the Standard Model. This work achieves a complete algebraic closure, reducing the 22 free parameters of the flavour sector—including gauge boson and Higgs masses—to a single geometric seed: the hexagonal vacuum attractor (<span>$\xi = 3/2$</span>).</p> <p>By modeling the vacuum as a collision of two branes (<span>$N_B=2$</span>), we derive the three fermion generations as stationary SO(3) modes within a spherical cavity. Key findings include:</p> <ul> <li> <p><strong>Mass Derivations:</strong> The Top-quark mass is identified as a natural Euler-decay (<span>$m_t = \Lambda/e$</span>) of the energy scale <span>$\Lambda$</span>.</p> </li> <li> <p><strong>Gauge Sector:</strong> <span>$W, Z,$</span> and <span>$Higgs$</span> masses are calculated as torsional responses to vacuum strain, matching experimental data with <span>$>99\%$</span> accuracy.</p> </li> <li> <p><strong>Mixing Dynamics:</strong> CKM and PMNS matrices are derived as geometric projections, identifying the CP-violating phase as a hexagonal lock-in (<span>$60^\circ$</span>) shifted by Berry curvature.</p> </li> </ul> <p>The framework is validated via the <strong>ERB Diamond Master Engine (v66)</strong>, a Python-based implementation that reproduces all 13 primary constants without the use of free fit-parameters.</p> |
| title | Universal Flavour Geometry (ERB Framework) Complete Algebraic Closure: Quarks, Bosons, and CKM Mixing |
| 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 Mass Hierarchy Emergent Symmetry Einstein-Field-Theory Bessel Functions Inertial Warping |
| url | https://doi.org/10.5281/zenodo.19357497 |