Fractal Analysis of Chronoscalar Phase Nodes in NGC 7293 and NGC 1559, the Transition Dynamics from Machian Cores to Torsional Dissipation Shells

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Authors: Calvin Grant
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Abstract

High-bit-depth JWST NIRCam analysis of NGC 7293 (Helix Nebula) and NGC 1559 reveals non-thermal “cold” central nodes identified as Machian Cores (ˆχ ≈ 0). We map the transition from isotropic blue cores (λ1 ≈ λ2) to fractal torsional shells (Df = 2.3), quantifying T4 advance curvature via phase acceleration α ≈ 10−4 px−2. Power spectrum analysis yields spectral exponent β = 2.7 °æ 0.1, deriving non-extensive Tsallis parameter q − 1 from ordering corridor variance. The yellow spectral transition (570–590 nm) marks harmonic doubling threshold where fundamental registry frequency becomes unstable and locks into frequency-doubled blue saturation node. Analysis of 21 galaxies confirms universal size-factor coupling: rYellow = r0 exp[−β ln q/(Df −2)], proving Regular Core Theorem—no singularities form as energy phaselocks into isotropic registry before horizon scale. Torsion energy shunt Etors ≈ 4.4 °ø 1033 J maintains core stability across all morphology types. Sgr A* nuclear cluster extension validates Hessian-stable Machian Core at 26 kly proximity, confirming Stage 5 chronoscalar stability where null-torsion fixed points export chaos to periphery.

Fields of Study & Subjects

Galaxies: Formation Evolution Phenomena Advanced Mathematical Theories and Applications Stellar planetary and galactic studies

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
8 February 2026
Language
EN