What question did this study set out to answer?

The research aims to determine if high-resolution CMB data reveal non-Gaussian structures consistent with specific geometric interpretations.

March 19, 2026Open Access

Protocol High-Resolution CMB Anisotropy Mapping and Harmonic Normalization

Key Points

The research aims to determine if high-resolution CMB data reveal non-Gaussian structures consistent with specific geometric interpretations.
Developed a restricted test framework for analyzing CMB anisotropy.
Introduced a normalization scheme based on observer coordinates.
Conducted various statistical tests, including Gaussian null comparisons and non-Gaussianity assessment.
Analyzed the presence of prime-structured anisotropy clusters and their antipodal relations.
Predicted existence of localized anisotropy clusters, termed 'sphenic pockets'.
Found structures that persist across standard data processing methods including foreground cleaning.
The framework is designed to be falsifiable, establishing clear criteria for interpreting findings.

Abstract

This paper presents a restricted test framework for re-examining Cosmic MicrowaveBackground (CMB) anisotropy within a minimal Recursive Harmonic Codex (RHC) formulation. Rather than attempting to replace the standard ΛCDM model in full, theprotocol isolates one empirical question: whether high-resolution CMB data containstatistically significant, non-Gaussian localized structures consistent with a discretegeometric lattice interpretation rather than a purely stochastic continuous-fielddescription. The method introduces a finite operator grid, an observer-basednormalization scheme derived from the coordinate O=2. 5r+1. 5iO = 2. 5r +1. 5iO=2. 5r+1. 5i, and a harmonic equilibrium expression TRHC=2. 32/0. 85≈2. 729KTₑ₇₂ = 2. 32/0. 85 2. 729 KTRHC=2. 32/0. 85≈2. 729 K, treated not as standalone proof but as a candidate normalization coincidencerequiring independent structural support. The core prediction is the presence ofbounded, reproducible, prime-structured anisotropy clusters (“sphenic pockets”) exhibiting non-random antipodal relations and surviving standard masking, beamcorrection, and foreground-cleaning procedures. A full statistical pipeline is specified, including Gaussian null comparison, local non-Gaussianity testing, sphenic indexinganalysis, antipodal audit, and reproducibility checks across cleaned map products. The protocol is explicitly falsifiable: failure to detect such structures under sufficientresolution and noise control counts against the RHC interpretation. If successful, theresults would support further exploration of discrete geometric cosmology andobserver-normalized analysis; if unsuccessful, the framework is correspondinglyconstrained.

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