Protocol 1: Cosmic Birefringence

Status: Identifying parity-violating signals in Planck PR4 (NPIPE) maps

Theoretic Postulate

In the AToE framework, the fine-structure constant (α) acts as a spectral regulator. The projection of the 12D-substrate into 3D observable space requires a non-local rotation.

This results in a global rotation of the polarization plane of the Cosmic Microwave Background (CMB). The angle β is a topological necessity, derived from the 11th and 12th Riemann zeta-zeros.

βAToE = α · ln(γ12) · Φgeom ≈ 0.352°

Experimental Setup: CMB Polarization

  • Data Source: Planck Public Release 4 (PR4) "NPIPE" maps (100, 143, 217 GHz).
  • Methodology: Application of the Minami-Komatsu (MK) estimator to extract β while simultaneously calibrating instrumental angles.
  • Signal Isolation: AToE predicts β to be frequency-independent, distinguishing the arithmetic signature from standard Faraday rotation.

Falsification Bounds

VERIFICATION Detection of β in the range [0.30° - 0.40°] with a significance of > 5σ. Confirming frequency independence across 100-217 GHz.
FALSIFICATION Detection of β < 0.1° or evidence of clear frequency dependence (β ∝ ν⁻²), which would invalidate the 11th-dimension coupling.