The Planck Bridge: Derivation and Numerical Recovery of Planck's Constant from 5D Curvature Geometry
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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Zenodo
2025
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| _version_ | 1866902259274612736 |
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| author | Morrow, Robert T ChatGPT(OpenAI) |
| author_facet | Morrow, Robert T ChatGPT(OpenAI) |
| contents | <p>This paper derives Planck’s constant $h$ as a curvature--loop invariant of five--dimensional SpaceTime$^{+}$. <br>Quantisation and black--body radiation follow directly from the geometry of a closed $cT$ phase loop <br>rather than from quantum postulates. The derived relation <br>$h = c^{2} T_{\mathrm{loop}} \langle m_{\mathrm{eq}} \rangle$ reproduces the empirical value <br>$h = 6.626 \times 10^{-34}\,\mathrm{J\!\cdot\!s}$ from the measured electron partition, and the same <br>relation holds for the proton, establishing the species--independent invariance of $h$. <br>The work completes the geometric pathway from electromagnetic inertia to the Planck spectrum <br>and constant of action.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17481462 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Planck Bridge: Derivation and Numerical Recovery of Planck's Constant from 5D Curvature Geometry Morrow, Robert T ChatGPT(OpenAI) 5D spacetime, Planck constant, curvature quantisation, electromagnetic inertia, geometric unification, black-body radiation, 5D Spacetime+ Unification Series <p>This paper derives Planck’s constant $h$ as a curvature--loop invariant of five--dimensional SpaceTime$^{+}$. <br>Quantisation and black--body radiation follow directly from the geometry of a closed $cT$ phase loop <br>rather than from quantum postulates. The derived relation <br>$h = c^{2} T_{\mathrm{loop}} \langle m_{\mathrm{eq}} \rangle$ reproduces the empirical value <br>$h = 6.626 \times 10^{-34}\,\mathrm{J\!\cdot\!s}$ from the measured electron partition, and the same <br>relation holds for the proton, establishing the species--independent invariance of $h$. <br>The work completes the geometric pathway from electromagnetic inertia to the Planck spectrum <br>and constant of action.</p> |
| title | The Planck Bridge: Derivation and Numerical Recovery of Planck's Constant from 5D Curvature Geometry |
| topic | 5D spacetime, Planck constant, curvature quantisation, electromagnetic inertia, geometric unification, black-body radiation, 5D Spacetime+ Unification Series |
| url | https://doi.org/10.5281/zenodo.17481462 |