The Lattice Signature in Planck HFI Coherence Tests within HoloGenesis Framework

This study presents an interpretive analysis of cross-frequency phase coherence in Planck High Frequency Instrument (HFI) maps within the HoloGenesis lattice framework. By evaluating the circular variance of phase differences across frequency pairs, we uncover achromatic coherence signatures in the low multipoles (ℓ = 2–20), which are incompatible with plasma scattering narratives. The results identify the fundamental lattice slot at 160.2 GHz, with diagonal structural reinforcement at approximately √3 × 160.2 GHz ≈ 277 GHz. This dual imprint—an anchor at 160.2 GHz and a diagonal resonance at 277 GHz—constitutes direct observational evidence for the lattice signal. The results provide direct evidence that the CMB signal carries the imprint of a coherent lattice structure, expressed in its achromatic low-ℓ coherence and the dual anchor-diagonal resonance pattern. © 2025 Grégoire Mommaerts, HoloGenesis. This work is protected under international copyright law.