Addendum to ``The E8 to G2 Symmetry Breaking Mechanism of Adelic Curvature and Exceptional Lie Scaffolding: Euclid's Fifth Postulate as a Quantum Gravitational Phase Indicator''
Year: 2025
Type: article
Abstract: This analysis rigorously examines the E8→G2 symmetry breaking mechanism proposed in the addendum, focusing on its mathematical consistency, adelic curvature formalism, and empirical predictions. By interrogating the Cartan decomposition, prime-modulated divergences, and computational validations, we identify both robust scaffolding and unresolved tensions. Key findings include: Cartan Decomposition Validity: The embedding adj(E8)↪adj(G2)⊕⨁φ(−1)kRk holds under Fibonacci-prime constraints but requires cohomological justification. Prime-Modulated Curvature: The hybrid divergence Δhybrid=∑p≤Pφ−νp(detg) introduces pp-adic corrections but risks overcounting at the Planck-scale cutoff P∼1019. Gravitational Wave Echoes: The Mersenne-prime harmonic template exhibits 12.3σ Bayesian evidence against noise, though waveform stability under φ-scaling remains unproven.
Source: Figshare
Author: Del Bel, Julian
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949323847
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