Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Recurso digital |
| Hizkuntza: | ingelesa |
| Argitaratua: |
Zenodo
2026
|
| Gaiak: | |
| Sarrera elektronikoa: | https://doi.org/10.5281/zenodo.19357497 |
| Etiketak: |
Etiketa erantsi
Etiketarik gabe, Izan zaitez lehena erregistro honi etiketa jartzen!
|
Aurkibidea:
- <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>