Test run II Phase Coherence in the CMB - Empirical Evidence for the HoloGenesis Lattice

We present a comprehensive analysis of Planck High Frequency Instrument (HFI) maps at 100, 143, and 217 GHz to test the HoloGenesis lattice hypothesis. Using phase differences, circular variance, Rayleigh statistics, and multi-band coherence, we examine the low-ℓ to high-ℓ regime. The largest-scale modes (ell < 20) exhibit near-perfect achromatic phase alignment across frequencies. Intermediate multipoles retain partial coherence, while high-multipole modes approach zero mean phase difference. Multi-band coherence analysis confirms frequency-independent harmonic behavior, and null tests indicate negligible spurious correlation. Small, predictable phase offsets between frequency pairs further corroborate a syntonized lattice. These results provide the first empirical, falsifiable evidence for a primordial frequency-phase lattice underlying the CMB. In the HoloGenesis framework, the near-perfect phase coherence observed between the 143 GHz and 217 GHz channels arises from the intrinsic structure of the cosmic frequency lattice. The lattice possesses a central frequency, f_cloud at 160.2GHz, defined by the relationship between the softest and void frequencies of the system: f_{\rm cloud} = \frac{f_{\rm floor}^2}{f_{\rm void}} \approx 160\ \mathrm{GHz}. Because 143 GHz and 217 GHz lie nearly symmetrically around this midpoint, their corresponding lattice modes align almost perfectly, producing exceptionally low circular variance values at low multipoles (V_\ell \sim 0.003). By contrast, the 100 GHz channel is farther from this central frequency, resulting in moderately reduced coherence with both 143 GHz and 217 GHz (V_\ell \sim 0.024–0.028), precisely matching observational data. This frequency-dependent alignment provides a natural explanation for the achromaticity observed at low ℓ. The lattice is not uniformly flat across all spectral channels; rather, the placement of HFI frequencies relative to f_cloud governs the degree of phase locking. The striking near-perfect coherence between 143 GHz and 217 GHz therefore emerges as a direct consequence of the lattice’s geometric and harmonic structure, offering a falsifiable, physically grounded rationale that cannot be attributed to chance or random Gaussian fluctuations. © 2025 Grégoire Mommaerts, HoloGenesis. This work is protected under international copyright law.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-03
DOI
https://doi.org/10.5281/zenodo.17045225
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Test run II Phase Coherence in the CMB - Empirical Evidence for the HoloGenesis Lattice

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Test run II Phase Coherence in the CMB - Empirical Evidence for the HoloGenesis Lattice

article en

Abstract

We present a comprehensive analysis of Planck High Frequency Instrument (HFI) maps at 100, 143, and 217 GHz to test the HoloGenesis lattice hypothesis. Using phase differences, circular variance, Rayleigh statistics, and multi-band coherence, we examine the low-ℓ to high-ℓ regime. The largest-scale modes (ell < 20) exhibit near-perfect achromatic phase alignment across frequencies. Intermediate multipoles retain partial coherence, while high-multipole modes approach zero mean phase difference. Multi-band coherence analysis confirms frequency-independent harmonic behavior, and null tests indicate negligible spurious correlation. Small, predictable phase offsets between frequency pairs further corroborate a syntonized lattice. These results provide the first empirical, falsifiable evidence for a primordial frequency-phase lattice underlying the CMB. In the HoloGenesis framework, the near-perfect phase coherence observed between the 143 GHz and 217 GHz channels arises from the intrinsic structure of the cosmic frequency lattice. The lattice possesses a central frequency, f_cloud at 160.2GHz, defined by the relationship between the softest and void frequencies of the system: f_{\rm cloud} = \frac{f_{\rm floor}^2}{f_{\rm void}} \approx 160\ \mathrm{GHz}. Because 143 GHz and 217 GHz lie nearly symmetrically around this midpoint, their corresponding lattice modes align almost perfectly, producing exceptionally low circular variance values at low multipoles (V_\ell \sim 0.003). By contrast, the 100 GHz channel is farther from this central frequency, resulting in moderately reduced coherence with both 143 GHz and 217 GHz (V_\ell \sim 0.024–0.028), precisely matching observational data. This frequency-dependent alignment provides a natural explanation for the achromaticity observed at low ℓ. The lattice is not uniformly flat across all spectral channels; rather, the placement of HFI frequencies relative to f_cloud governs the degree of phase locking. The striking near-perfect coherence between 143 GHz and 217 GHz therefore emerges as a direct consequence of the lattice’s geometric and harmonic structure, offering a falsifiable, physically grounded rationale that cannot be attributed to chance or random Gaussian fluctuations. © 2025 Grégoire Mommaerts, HoloGenesis. This work is protected under international copyright law.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 57%
Geochemistry and Geologic Mapping
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Test run II Phase Coherence in the CMB - Empirical Evidence for the HoloGenesis Lattice · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS