A Geometric Framework for Fundamental Parameters: Investigating the Dimensional Information Cascade (SFT v3600)
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866902328374722560 |
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| author | Speckmann, Daniel |
| author_facet | Speckmann, Daniel |
| contents | <p>While the Standard Model (SM) provides an unparalleled description of particle dynamics, the origin of its fundamental parameters and mass hierarchies remains a central question in theoretical physics. This paper introduces the <strong>SFT v3600 framework</strong>, which explores a geometric derivation of these constants through a concept termed the <strong>Dimensional Information Cascade</strong>.</p> <p>Rather than treating physical constants as independent input parameters, this model investigates their potential emergence from layered topological constraints:</p> <ul> <li> <p><strong>Dimensional Transitions:</strong> We explore the hypothesis that information density shifts from a fractal UV-background (<span>$d_s \approx 1.2$</span>) to localized 3D resonances.</p> </li> <li> <p><strong>Planar Correlations:</strong> Utilizing Principal Component Analysis (PCA) on quark-related metrics, we identify a statistical preference for planar (2D) configurations, suggesting a geometric basis for the quark sector.</p> </li> <li> <p><strong>Topological Coupling:</strong> By applying constants derived from vacuum symmetries—specifically the <span>$O_h$</span> (octahedral) symmetry and an instanton-based bridge to the Vacuum Expectation Value (VEV)—the model seeks to calculate the mass ratios of the lepton and boson sectors.</p> </li> </ul> <p>The accompanying Python protocol (<code>SFT_v3600.py</code>) provides a transparent computational environment to reproduce these numerical correlations. Preliminary results show that the values derived from these geometric axioms align closely with CODATA experimental data, offering a heuristic perspective on the "why" behind the Standard Model's parameter space.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19429976 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A Geometric Framework for Fundamental Parameters: Investigating the Dimensional Information Cascade (SFT v3600) 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>While the Standard Model (SM) provides an unparalleled description of particle dynamics, the origin of its fundamental parameters and mass hierarchies remains a central question in theoretical physics. This paper introduces the <strong>SFT v3600 framework</strong>, which explores a geometric derivation of these constants through a concept termed the <strong>Dimensional Information Cascade</strong>.</p> <p>Rather than treating physical constants as independent input parameters, this model investigates their potential emergence from layered topological constraints:</p> <ul> <li> <p><strong>Dimensional Transitions:</strong> We explore the hypothesis that information density shifts from a fractal UV-background (<span>$d_s \approx 1.2$</span>) to localized 3D resonances.</p> </li> <li> <p><strong>Planar Correlations:</strong> Utilizing Principal Component Analysis (PCA) on quark-related metrics, we identify a statistical preference for planar (2D) configurations, suggesting a geometric basis for the quark sector.</p> </li> <li> <p><strong>Topological Coupling:</strong> By applying constants derived from vacuum symmetries—specifically the <span>$O_h$</span> (octahedral) symmetry and an instanton-based bridge to the Vacuum Expectation Value (VEV)—the model seeks to calculate the mass ratios of the lepton and boson sectors.</p> </li> </ul> <p>The accompanying Python protocol (<code>SFT_v3600.py</code>) provides a transparent computational environment to reproduce these numerical correlations. Preliminary results show that the values derived from these geometric axioms align closely with CODATA experimental data, offering a heuristic perspective on the "why" behind the Standard Model's parameter space.</p> |
| title | A Geometric Framework for Fundamental Parameters: Investigating the Dimensional Information Cascade (SFT v3600) |
| 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.19429976 |