Emergence of Flavor Mixing, CKM Hierarchy, and CP Violation from a Resonant Brane Model (ERB) – Preprint & Stability Proof
Fuente:
Zenodo
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Recurso digital |
| Lenguaje: | inglés |
| Publicado: |
Zenodo
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866902329720045568 |
|---|---|
| author | Speckmann, Daniel |
| author_facet | Speckmann, Daniel |
| contents | <p><strong>The Emergent Resonant Brane (ERB) model derives the CKM matrix, CP violation, and gauge symmetries U(1)×SU(2)×SU(3) from resonant brane geometry — without fine-tuning.</strong></p> <p>Three Bessel-quantized generational radii and a single topological fixed point (γ = 2π) generate all flavor structure. Key results: MAE(CKM) = 2.32×10⁻⁵, Jarlskog invariant J = −3.08×10⁻⁵ (PDG: 3.0×10⁻⁵), PMNS angles reproduced to Δθ < 0.4°. CP violation is a geometric necessity — it vanishes only if three generations become collinear, which Bessel quantization forbids.</p> <p>Version 4 adds: (i) a predictive chain PDG masses → radii → CKM with 1 free parameter (MAE = 3.3×10⁻³), refuting the circularity objection; (ii) an effective Lagrangian with mass matrix analytically derived from a topological overlap integral at γ = 2π; (iii) a scalar potential V = λ(|Φ|²−v²)² + κ(1−cos γ) with numerically verified minimum at exactly γ = 2π; (iv) emergent scale Λ_ERB ≈ Λ_QCD · √(2π), anchoring the model at the QCD confinement threshold.</p> <p><strong>Falsifiable prediction: δ_CP(PMNS) = 352°, testable by DUNE and HyperK.</strong></p> <p>Supplementary code: ERB_N_Stability_v4.ipynb, ERB_Unified.ipynb (Google Colab, NumPy/SciPy only).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19092673 |
| 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><strong>The Emergent Resonant Brane (ERB) model derives the CKM matrix, CP violation, and gauge symmetries U(1)×SU(2)×SU(3) from resonant brane geometry — without fine-tuning.</strong></p> <p>Three Bessel-quantized generational radii and a single topological fixed point (γ = 2π) generate all flavor structure. Key results: MAE(CKM) = 2.32×10⁻⁵, Jarlskog invariant J = −3.08×10⁻⁵ (PDG: 3.0×10⁻⁵), PMNS angles reproduced to Δθ < 0.4°. CP violation is a geometric necessity — it vanishes only if three generations become collinear, which Bessel quantization forbids.</p> <p>Version 4 adds: (i) a predictive chain PDG masses → radii → CKM with 1 free parameter (MAE = 3.3×10⁻³), refuting the circularity objection; (ii) an effective Lagrangian with mass matrix analytically derived from a topological overlap integral at γ = 2π; (iii) a scalar potential V = λ(|Φ|²−v²)² + κ(1−cos γ) with numerically verified minimum at exactly γ = 2π; (iv) emergent scale Λ_ERB ≈ Λ_QCD · √(2π), anchoring the model at the QCD confinement threshold.</p> <p><strong>Falsifiable prediction: δ_CP(PMNS) = 352°, testable by DUNE and HyperK.</strong></p> <p>Supplementary code: ERB_N_Stability_v4.ipynb, ERB_Unified.ipynb (Google Colab, NumPy/SciPy only).</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.19092673 |