Paper 73: Triadic Modulation from SU(2) Selection Rules in the Holosphere Lattice

We develop a remodeled explanation for the structure of the cosmic microwave background power spectrum based on triadic selection rules in an SU2 lattice. The key idea is that the sky we observe is shaped by present-day angular coherence rather than a frozen last scattering surface. We derive a multi-harmonic modulation envelope from quaternionic probability on the three-sphere, triadic closure, and a coherence threshold set by percolation in the lattice. In this picture bright nodes arise from constructive interference while dark nodes arise from destructive interference, with a geometric cap on the fraction of channels that can remain bright near decoherence. The amplitude of higher harmonics follows a universal damping law that depends only on the coherence healing rate and not on cosmological curve fitting. The framework yields concrete and testable predictions. It fixes the spacing of troughs in the spectrum, sets their depth scaling with harmonic order, and forecasts continued oscillatory suppression at high multipoles together with phase-locked features in polarization. It also predicts modest directional variation in modulation strength that can account for hemispheric asymmetry. We support these claims with parameter-free checks and targeted estimators. Test 1 confirms the expected three-sphere marginal for the vector channel using a Kolmogorov–Smirnov test and a truncated equal-probability chi-square test. We then validate the damping law with a phase-free projection that avoids spurious phase alignment, and we estimate the coherence healing rate from data without injecting prior constants. The result is a falsifiable, minimal model that links microscopic lattice geometry to macroscopic sky structure.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-26
DOI
https://doi.org/10.5281/zenodo.17207839
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Paper 73: Triadic Modulation from SU(2) Selection Rules in the Holosphere Lattice

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

Paper 73: Triadic Modulation from SU(2) Selection Rules in the Holosphere Lattice

article en

Abstract

We develop a remodeled explanation for the structure of the cosmic microwave background power spectrum based on triadic selection rules in an SU2 lattice. The key idea is that the sky we observe is shaped by present-day angular coherence rather than a frozen last scattering surface. We derive a multi-harmonic modulation envelope from quaternionic probability on the three-sphere, triadic closure, and a coherence threshold set by percolation in the lattice. In this picture bright nodes arise from constructive interference while dark nodes arise from destructive interference, with a geometric cap on the fraction of channels that can remain bright near decoherence. The amplitude of higher harmonics follows a universal damping law that depends only on the coherence healing rate and not on cosmological curve fitting. The framework yields concrete and testable predictions. It fixes the spacing of troughs in the spectrum, sets their depth scaling with harmonic order, and forecasts continued oscillatory suppression at high multipoles together with phase-locked features in polarization. It also predicts modest directional variation in modulation strength that can account for hemispheric asymmetry. We support these claims with parameter-free checks and targeted estimators. Test 1 confirms the expected three-sphere marginal for the vector channel using a Kolmogorov–Smirnov test and a truncated equal-probability chi-square test. We then validate the damping law with a phase-free projection that avoids spurious phase alignment, and we estimate the coherence healing rate from data without injecting prior constants. The result is a falsifiable, minimal model that links microscopic lattice geometry to macroscopic sky structure.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Openalex Percentile: Top 27%
Geochemistry and Geologic Mapping
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Paper 73: Triadic Modulation from SU(2) Selection Rules in the Holosphere Lattice · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS