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Paper 72: A Proof-of-Concept Shell-Resonance Solver for Low-ℓ CMB Structure in Holosphere Theory

Year: 2025
Type: article
Abstract: This paper derives the quantization condition governing angular resonance modes in the Holosphere lattice, a discrete rotating structure proposed to underlie spacetime. We show that standing wave boundary conditions on a finite coherence shell produce a discrete set of angular eigenmodes that align with the multipole structure of the Cosmic Microwave Background (CMB). The primary quantization relation, ℓ = π ε n with ε ≈ 70, is derived from both observational matching and first principles using the Holosphere angular Hamiltonian. Deviations from integer harmonic peaks are explained through SU(2)-driven triadic interference, leading to a fractional shift δ ≈ 0.4. The resulting peak predictions closely match Planck data, with residuals under 8 percent for the first five peaks. These results position the Holosphere framework as a physically grounded and falsifiable alternative to inflation-based explanations of the CMB, with predictions for future residual refinement and damping behavior.
Author: Sarnowski, Michael
Language: English
Open Access status: green
OpenAlex ID: W6893535659
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