Recursive Expansive Dimensionless Framework for Gravitational Echoes and Fractal Spacetime
Year: 2025
Type: article
Abstract: We introduce a dimensionless recursive mathematical framework rooted in Hypatian Mathematics and Cykloid Influence Theory (CIT), synthesizing fractal geometry, adelic integration, and recursive algebraic structures. This formalization incorporates triadic operators, hypo^2, epic^2, and epitro^2, to encode self-similar spacetime dynamics and provides empirical support via echo signatures in LIGO O3a data. A unified system is constructed via recursive Jordan algebras, p-adic structures, and golden-ratio scaling constants. The results validate Tribonacci-scaled gravitational wave echoes and recursive convergence points (RCPs) using real interferometric data.
Author: Del Bel, Julian
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6949228514
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