Planck Constant Structure 2π + 0.4 and a Geometric Origin of Helical Generation in CP Violation
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2025
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| _version_ | 1866902134502457344 |
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| author | Takahashi, Tamiyuki |
| author_facet | Takahashi, Tamiyuki |
| contents | <p>We develop a unified framework in which a helical phase structure and information quantization jointly determine fundamental constants. The surplus angle <span><span>B</span><span><span><span>B</span></span></span></span>, appearing once a helix exceeds a two-turn closure (<span><span>4π</span><span><span><span>4</span><span>π</span></span></span></span>), is mapped to an excess information content <span><span>ΔI</span><span><span><span>Δ</span><span>I</span></span></span></span> (in bits). This mapping yields two equivalent formulations for Planck’s constant:</p> <p><span><span><span>h=κ (4π+B)</span><span><span><span>h</span><span>=</span></span><span><span>κ</span><span>(</span><span>4</span><span>π</span><span>+</span></span><span><span>B</span><span>)</span></span></span></span></span></p> <p>and</p> <p><span><span><span>h=κ ln2 ΔI,</span><span><span><span>h</span><span>=</span></span><span><span>κ</span><span>ln</span><span>2</span><span>Δ</span><span>I</span><span>,</span></span></span></span></span></p> <p>where <span><span>κ</span><span><span><span>κ</span></span></span></span> is introduced as the appropriate physical scale factor. Through direct numerical calibration using <span><span>h</span><span><span><span>h</span></span></span></span> and related constants, we demonstrate that the implied scale is consistent with the electron Compton scale. The result supports the thesis that helical geometry combined with the minimal information bit provides a principled mechanism for constant generation embodied in the Root Equation.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16936598 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Planck Constant Structure 2π + 0.4 and a Geometric Origin of Helical Generation in CP Violation Takahashi, Tamiyuki Helical Structure Planck's Constant Root Equation Unified Physics Theory Information Bit <p>We develop a unified framework in which a helical phase structure and information quantization jointly determine fundamental constants. The surplus angle <span><span>B</span><span><span><span>B</span></span></span></span>, appearing once a helix exceeds a two-turn closure (<span><span>4π</span><span><span><span>4</span><span>π</span></span></span></span>), is mapped to an excess information content <span><span>ΔI</span><span><span><span>Δ</span><span>I</span></span></span></span> (in bits). This mapping yields two equivalent formulations for Planck’s constant:</p> <p><span><span><span>h=κ (4π+B)</span><span><span><span>h</span><span>=</span></span><span><span>κ</span><span>(</span><span>4</span><span>π</span><span>+</span></span><span><span>B</span><span>)</span></span></span></span></span></p> <p>and</p> <p><span><span><span>h=κ ln2 ΔI,</span><span><span><span>h</span><span>=</span></span><span><span>κ</span><span>ln</span><span>2</span><span>Δ</span><span>I</span><span>,</span></span></span></span></span></p> <p>where <span><span>κ</span><span><span><span>κ</span></span></span></span> is introduced as the appropriate physical scale factor. Through direct numerical calibration using <span><span>h</span><span><span><span>h</span></span></span></span> and related constants, we demonstrate that the implied scale is consistent with the electron Compton scale. The result supports the thesis that helical geometry combined with the minimal information bit provides a principled mechanism for constant generation embodied in the Root Equation.</p> |
| title | Planck Constant Structure 2π + 0.4 and a Geometric Origin of Helical Generation in CP Violation |
| topic | Helical Structure Planck's Constant Root Equation Unified Physics Theory Information Bit |
| url | https://doi.org/10.5281/zenodo.16936598 |