Abstract This article presents an updated preliminary analysis of phase coherence in Planck High-Frequency Instrument polarization maps, with particular attention to cross-frequency phase alignment in the E-mode signal. Within the HoloGenesis framework, the Cosmic Microwave Background is interpreted not only as a relic radiation field, but as a possible observational trace of an underlying frequency-phase structure associated with the dark-cloud lattice. The present update corrects an important frequency distinction in the earlier version of the article. Earlier HoloGenesis formulations sometimes treated the CMB spectral peak near 160 GHz as if it were the primitive lattice floor. The corrected architecture now distinguishes the primitive subitron floor, near 56.8 GHz, from the CMB frequency-space spectral peak, near 160.3 GHz. The latter remains observationally important, but it is no longer treated as the fundamental subitron base. The diagonal signal trace associated with the tri-orthogonal lattice stride lies near 277.5 GHz, while the base diagonal stride lies near 98.4 GHz. This correction clarifies the interpretation of the Planck HFI frequency channels. The 143 and 217 GHz channels bracket the CMB spectral-peak region, while the 217 and 353 GHz channels bracket the proposed diagonal signal-trace region. The article therefore reinterprets the reported coherence hierarchy in terms of the corrected frequency-square architecture rather than the older single-frequency route. Using circular variance, Rayleigh-type circular statistics, cross-power spectra, mode-by-mode phase scatter, circular correlation coefficients, shuffled-map benchmarks, Monte Carlo non-exceedance tests, and slope-offset comparisons, the analysis examines whether selected Planck HFI frequency pairs show phase behavior compatible with a structured cross-frequency coherence hypothesis. The reported results indicate low circular variance in selected frequency pairs, especially in low-multipole comparisons, with notable behavior in the 143×217 GHz and 217×353 GHz pairs. Within HoloGenesis, these patterns are interpreted as suggestive of frequency-dependent phase structure rather than uniform cross-frequency similarity. The 143×217 GHz coherence is compatible with the region surrounding the CMB spectral peak, while the 217×353 GHz coherence is compatible with the proposed diagonal signal-trace domain. This does not establish HoloGenesis as confirmed, nor does it rule out standard cosmological explanations. Cross-frequency coherence can arise from common sky signal, foreground residuals, beam effects, shared map-making procedures, dust contamination, masks, noise covariance, and component-separation artifacts. The article therefore presents the analysis as a falsifiable observational diagnostic. If the CMB contains a frequency-phase lattice signature, then selected frequency pairs should display statistically significant, frequency-dependent phase coherence beyond what is expected from randomized phase relations and, more importantly, beyond what is expected from realistic ΛCDM simulations processed through Planck-like beams, masks, noise, foregrounds, and component-separation pipelines. The central conclusion is measured but significant: the reported Planck HFI polarization phase-coherence hierarchy is compatible with the HoloGenesis lattice hypothesis and structured enough to justify deeper testing. The decisive next step is not rhetorical interpretation, but controlled replication against realistic simulations, independent data splits, foreground templates, dust masks, and future multi-frequency CMB polarization datasets.
Grégoire Mommaerts (Thu,) studied this question.