Cosmic Birefringence: A Geometric Prediction from the Tetrahedral Substrate of Spacetime

We present a parameter-free geometric derivation of cosmic birefringence—the rotation of the polarization plane of CMB photons—as a natural consequence of the intrinsic chirality of the tetrahedral spacetime lattice (the Cosmic Mesh). Within this framework, where the fine-structure constant acts as a "cosmic odometer" of the lattice’s residual torsional frustration (δ ≈ 2.034), light propagates as a traveling wave of free energy whose polarization vector is guided by the chiral metric background. By coupling the microphysics of the Planck-scale FCC lattice to cosmological distances via the Scale Bridge Hypothesis, we derive a closed-form integration for the polarization rotation. For CMB photons at the Last Scattering Surface (z ≈ 1100), our model predicts a uniform rotation angle of: β = 0.272° ± 0.03° This prediction contains no free fitting parameters and is remarkably consistent with recent observational hints from Planck and ACT. To distinguish this geometric mechanism from exotic axion-like fields or localized astrophysical Faraday rotation, we propose four distinct discriminant tests:1. A non-linear monotonic redshift dependence β(z) governed by the cosmic acceleration transition.2. Anisotropic spatial fluctuations β(θ, φ) that correlate directly with the mapped Large-Scale Structure (LSS).3. A highly distinct, non-dispersive frequency scaling where the birefringence scales as λ⁻² (suppressed at radio wavelengths, amplified in the optical/UV).4. A non-zero cross-correlation signal (C_l^Tβ) with CMB temperature anisotropies. This work demonstrates that cosmic birefringence does not require the postulation of undetected, fine-tuned pseudo-scalar fields, but stands as the first direct, falsifiable evidence that spacetime is an intrinsically chiral, discrete, and elastic medium under physical relaxation.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-16
DOI
https://doi.org/10.5281/zenodo.21392357
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

Cosmic Birefringence: A Geometric Prediction from the Tetrahedral Substrate of Spacetime

ALEJANDRO BERTRAN
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

Cosmic Birefringence: A Geometric Prediction from the Tetrahedral Substrate of Spacetime

ALEJANDRO BERTRAN
preprint en

Abstract

We present a parameter-free geometric derivation of cosmic birefringence—the rotation of the polarization plane of CMB photons—as a natural consequence of the intrinsic chirality of the tetrahedral spacetime lattice (the Cosmic Mesh). Within this framework, where the fine-structure constant acts as a "cosmic odometer" of the lattice’s residual torsional frustration (δ ≈ 2.034), light propagates as a traveling wave of free energy whose polarization vector is guided by the chiral metric background. By coupling the microphysics of the Planck-scale FCC lattice to cosmological distances via the Scale Bridge Hypothesis, we derive a closed-form integration for the polarization rotation. For CMB photons at the Last Scattering Surface (z ≈ 1100), our model predicts a uniform rotation angle of: β = 0.272° ± 0.03° This prediction contains no free fitting parameters and is remarkably consistent with recent observational hints from Planck and ACT. To distinguish this geometric mechanism from exotic axion-like fields or localized astrophysical Faraday rotation, we propose four distinct discriminant tests:1. A non-linear monotonic redshift dependence β(z) governed by the cosmic acceleration transition.2. Anisotropic spatial fluctuations β(θ, φ) that correlate directly with the mapped Large-Scale Structure (LSS).3. A highly distinct, non-dispersive frequency scaling where the birefringence scales as λ⁻² (suppressed at radio wavelengths, amplified in the optical/UV).4. A non-zero cross-correlation signal (C_l^Tβ) with CMB temperature anisotropies. This work demonstrates that cosmic birefringence does not require the postulation of undetected, fine-tuned pseudo-scalar fields, but stands as the first direct, falsifiable evidence that spacetime is an intrinsically chiral, discrete, and elastic medium under physical relaxation.

Zenodo (CERN European Organization for Nuclear Research)
Instituto de Astrofísica de Canarias (ES)
Reduced inequalities, Peace, Justice and strong institutions
Cosmology and Gravitation Theories
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