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Bibliographic Details
Main Author:	Nagy, Dávid
Format:	Recurso digital
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Published:	Zenodo 2025
Subjects:	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
Online Access:	https://doi.org/10.5281/zenodo.17689076
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We present a parameter-free derivation of the dimensionless fine-structure con- stant α, based on a holographic accounting of surface information (bits) versus in- terior quantum degrees of freedom (Dirac modes) inside a minimal, self-stabilising  “micro-horizon” surrounding an electron. Four conceptually independent inputs  enter: (i) the Bekenstein–Hawking surface bit count, (ii) the degeneracy of the  lowest Dirac modes under MIT boundary conditions, (iii) a curvature-sensitive  logarithmic Seeley–DeWitt correction, and (iv) a uniform-WKB (zeta-regularised)  high-ℓ tail that captures large angular-momentum modes. Combining these yields  α−1 = 137.035998(20), in numerical agreement with the CODATA 2023 value to  better than 0.001%. The construction is scale-agnostic: applying the same bit/mode logic to the  muon reproduces the same coupling within uncertainties, and the formal structure  extends upward in scale to the cosmological horizon, offering an analogous account  of the cosmological constant Λ in terms of surface bits per gravitational soft (null)  mode. Finally, we outline how energy-scale dependence (running α) emerges naturally  from the logarithmic term and discuss falsifiable predictions for sub-ppm “step”  structure at high momentum transfer.

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