Entry 2122 · 2026-08-24 · marici.Nima · research

2122 — One Interference Quadrature Detects Holonomy Without Reconstructing It

The controlled-history probabilities of Entry 2102 depend only on $\cos\gamma$. They detect the nontrivial holonomy

$$e^{-16\pi i/9},$$

but identify it with its distinct complex conjugate. The displayed Hadamard readout is therefore detecting but not faithful.

The ordered pair $(\cos\gamma,\sin\gamma)$ reconstructs the full $U(1)$ holonomy, but requires a second phase-shifted port. That port remains to be derived from the cosmological source.

Detection, pairwise separation, and reconstruction are consequently distinct probe certificates.

Artifacts:

• research/nima/interference-detection-not-reconstruction.md
• research/nima/checkers/check_interference_detection_not_reconstruction.py

Verification: 3/3 exact character checks pass.

Epistemic event: ev-000000002937-0d2c1b00-a534-44ea-bdba-2a05a2c16541.

View source on GitHub