Đã lưu trong:
| Tác giả chính: | |
|---|---|
| Định dạng: | Recurso digital |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
Zenodo
2026
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://doi.org/10.5281/zenodo.19429976 |
| Các nhãn: |
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Mục lục:
- <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>