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April 16, 20260 citationsOpen Access

Arithmetic Derivation of Cosmic Birefringence: A Spectral-Topological Prediction of beta = 0,35 degrees within the AToE Framework

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TKThomas Krause

Key Points

  • To derive and verify the cosmic birefringence angle within the framework of the Arithmetic Theory of Everything (AToE).
  • Theoretical derivation using the fine structure constant and the 12th non-trivial Riemann zeta zero.
  • Introduction of a spectral-topological mechanism termed 'Arithmetic Faraday Effect'.
  • Numerical verification against data from Planck and WMAP.
  • The predicted birefringence angle is 0.35 degrees.
  • The derived value aligns with previous data analyses by Minami & Komatsu.
  • It presents a falsifiable prediction for future cosmic observations.

Abstract

This record provides the theoretical derivation and numerical verification of the cosmic birefringence angle as predicted by the Arithmetic Theory of Everything (AToE). Unlike standard cosmological models ( CDM) that require the introduction of axion-like particles (ALPs) or quintessence fields to explain parity-violating rotations in CMB polarization, the AToE derives this effect as a fundamental requirement of arithmetic spacetime. Key Highlights of this Record: Parameter-Free Derivation: The birefringence angle is derived using only the fine structure constant alpha and the 12th non-trivial Riemann zeta zero. Spectral-Topological Mechanism: The paper explains as an "Arithmetic Faraday Effect" resulting from the projection of the 12D prime Fock space into a 3D dodecahedral manifold. Numerical Precision: The derived value of is shown to be in agreement with the combined Planck + WMAP data analysis by Minami & Komatsu (2020, 2022). Falsifiability: The record sets a rigid prediction for upcoming measurements from the Simons Observatory and LiteBIRD.

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Cite This Study

Thomas Krause (2026) studied this question.

synapsesocial.com/papers/69e07e242f7e8953b7cbf1c9https://doi.org/10.5281/zenodo.19570323
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