A First-Principles Derivation of the Fine-Structure Constant from Holographic Bit-Mode Balance
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2025
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| _version_ | 1866901696304644096 |
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| author | Nagy, Dávid |
| author_facet | Nagy, Dávid |
| contents | <p>We present a parameter-free derivation of the dimensionless fine-structure con-<br>stant α, based on a holographic accounting of surface information (bits) versus in-<br>terior quantum degrees of freedom (Dirac modes) inside a minimal, self-stabilising <br>“micro-horizon” surrounding an electron. Four conceptually independent inputs <br>enter: (i) the Bekenstein–Hawking surface bit count, (ii) the degeneracy of the <br>lowest Dirac modes under MIT boundary conditions, (iii) a curvature-sensitive <br>logarithmic Seeley–DeWitt correction, and (iv) a uniform-WKB (zeta-regularised) <br>high-ℓ tail that captures large angular-momentum modes. Combining these yields <br>α−1 = 137.035998(20), in numerical agreement with the CODATA 2023 value to <br>better than 0.001%.<br>The construction is scale-agnostic: applying the same bit/mode logic to the <br>muon reproduces the same coupling within uncertainties, and the formal structure <br>extends upward in scale to the cosmological horizon, offering an analogous account <br>of the cosmological constant Λ in terms of surface bits per gravitational soft (null) <br>mode.<br>Finally, we outline how energy-scale dependence (running α) emerges naturally <br>from the logarithmic term and discuss falsifiable predictions for sub-ppm “step” <br>structure at high momentum transfer.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17689076 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | A First-Principles Derivation of the Fine-Structure Constant from Holographic Bit-Mode Balance Nagy, Dávid fine-structure constant holography bit-mode balance quantum gravity micro-horizon fundamental constants Dirac spectrum holographic entropy α derivation First-Principles Derivation Bekenstein–Hawking surface bit MIT boundary conditions Seeley–DeWitt correction uniform-WKB high-ℓ tail running α parameter-free derivation High Energy Physics Physics Theoretical Physics surface bits interior quantum modes Bit-mode ratio Heat-kernel <p>We present a parameter-free derivation of the dimensionless fine-structure con-<br>stant α, based on a holographic accounting of surface information (bits) versus in-<br>terior quantum degrees of freedom (Dirac modes) inside a minimal, self-stabilising <br>“micro-horizon” surrounding an electron. Four conceptually independent inputs <br>enter: (i) the Bekenstein–Hawking surface bit count, (ii) the degeneracy of the <br>lowest Dirac modes under MIT boundary conditions, (iii) a curvature-sensitive <br>logarithmic Seeley–DeWitt correction, and (iv) a uniform-WKB (zeta-regularised) <br>high-ℓ tail that captures large angular-momentum modes. Combining these yields <br>α−1 = 137.035998(20), in numerical agreement with the CODATA 2023 value to <br>better than 0.001%.<br>The construction is scale-agnostic: applying the same bit/mode logic to the <br>muon reproduces the same coupling within uncertainties, and the formal structure <br>extends upward in scale to the cosmological horizon, offering an analogous account <br>of the cosmological constant Λ in terms of surface bits per gravitational soft (null) <br>mode.<br>Finally, we outline how energy-scale dependence (running α) emerges naturally <br>from the logarithmic term and discuss falsifiable predictions for sub-ppm “step” <br>structure at high momentum transfer.</p> |
| title | A First-Principles Derivation of the Fine-Structure Constant from Holographic Bit-Mode Balance |
| topic | fine-structure constant holography bit-mode balance quantum gravity micro-horizon fundamental constants Dirac spectrum holographic entropy α derivation First-Principles Derivation Bekenstein–Hawking surface bit MIT boundary conditions Seeley–DeWitt correction uniform-WKB high-ℓ tail running α parameter-free derivation High Energy Physics Physics Theoretical Physics surface bits interior quantum modes Bit-mode ratio Heat-kernel |
| url | https://doi.org/10.5281/zenodo.17689076 |