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.
Authors
- ALEJANDRO BERTRAN
Institutions
- Instituto de Astrofísica de Canarias (ES)
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