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March 25, 2026Open Access

Topological Constraint on the Electromagnetic Coupling Scale from a Discrete ℓ¹ Obstruction

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Authors

JCJEREMY H. CARROLL

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Overview

This theoretical study derives the electromagnetic coupling constant using topological seeds, indicating deep connections in physics.

Key Points

  • The aim is to derive the inverse electromagnetic fine-structure constant using topological constraints from a directed graph.
  • Identified a discrete l1 coboundary obstruction in a two-edge directed graph.
  • Applied barycentric subdivision to resolve the obstruction, creating a structured lattice.
  • Used a discrete Fourier transform to produce the unique transport amplitude.
  • Converted the amplitude to a transition probability using the Born rule.
  • Executed renormalization-group flow to connect the derived coupling from the GUT scale to the Z-boson mass.
  • Derived an inverse electromagnetic fine-structure constant of approximately 137.03.
  • The transition probability calculated as P = 9/pi^2.
  • Confirmed structural uniqueness of the sinc kernel amplitude under specific constraints.
  • Establishes a falsification protocol with seven independent tests to validate the results.

Cite This Study

JEREMY H. CARROLL (2026) studied this question.

synapsesocial.com/papers/69c37b93b34aaaeb1a67e169https://doi.org/10.5281/zenodo.19182098
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