Categorical Reformation of Arithmetic and Spacetime Geometry Through Fractal-Adelic Scaffolding
Year: 2025
Type: article
Abstract: I present Cykloid Influence Theory (CIT) and Recursive Expansive Dynamic Systems (REDS) --- a categorical framework interlacing arithmetic invariants, fractal geometry, and spacetime dynamics through ∞-categories, coalgebraic recursion, and adelic tensor-triangulated structures. By reinterpreting modular arithmetic and spectral number theory via φ-scaled operator algebras and stratified topoi, we resolve classical conjectures (Lehmer, Serre) as stability conditions in recursive geometric flows. This Scaffold reveals gravitational wave echoes and cosmic microwave background (CMB) anomalies as signatures of prime-harmonic resonance in evolving fractal manifolds.
Author: Del Bel, Julian
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949455410
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