Framed Fractals: The Pulse of Reality

We propose a comprehensive theoretical framework unifying quantum mechanics, electromagnetism, and gravity through the interplay of a Gladiator Force and fractal resonance structure of spacetime. Building on a resonance-based model of physics that introduces a Time-Adherence parameter Ta to quantify alignment with a universal time “heartbeat,” we incorporate a fractal, self-similar spatial confinement mechanism. In this unified model, space itself acts as a resonant chamber characterized by a mass-dependent Gladiator Force Γ; heavier masses experience stronger confinement (smaller Γ) and tighter binding. We derive an extended, nonlinear Schr¨odinger equation, demonstrating mathematically how quantum behavior transitions to classical mechanics in the limit Ta → 1 and how effective gravitational and electromagnetic forces emerge from resonance conditions. The framework naturally predicts transient GHz gravitational wave bursts (“thumpers”) emitted by ultra-massive, high-spin objects that briefly disrupt resonance. These ”Maws” would appear as mass-dense voids—concentrations of gravity with little to no electromagnetic signature—offering a distinctive experimental target. We present rigorous theoretical derivations, numerical simulations showing fractal stability domains and resonance-induced mass quantization, and outline experimental searches for the predicted gravitational bursts. This resonance-based unification suggests a testable path toward reconciling quantum physics with gravitation and relativity.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-03-07
DOI
https://doi.org/10.5281/zenodo.14988099
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Framed Fractals: The Pulse of Reality

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Framed Fractals: The Pulse of Reality

article en

Abstract

We propose a comprehensive theoretical framework unifying quantum mechanics, electromagnetism, and gravity through the interplay of a Gladiator Force and fractal resonance structure of spacetime. Building on a resonance-based model of physics that introduces a Time-Adherence parameter Ta to quantify alignment with a universal time “heartbeat,” we incorporate a fractal, self-similar spatial confinement mechanism. In this unified model, space itself acts as a resonant chamber characterized by a mass-dependent Gladiator Force Γ; heavier masses experience stronger confinement (smaller Γ) and tighter binding. We derive an extended, nonlinear Schr¨odinger equation, demonstrating mathematically how quantum behavior transitions to classical mechanics in the limit Ta → 1 and how effective gravitational and electromagnetic forces emerge from resonance conditions. The framework naturally predicts transient GHz gravitational wave bursts (“thumpers”) emitted by ultra-massive, high-spin objects that briefly disrupt resonance. These ”Maws” would appear as mass-dense voids—concentrations of gravity with little to no electromagnetic signature—offering a distinctive experimental target. We present rigorous theoretical derivations, numerical simulations showing fractal stability domains and resonance-induced mass quantization, and outline experimental searches for the predicted gravitational bursts. This resonance-based unification suggests a testable path toward reconciling quantum physics with gravitation and relativity.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 66%
Advanced Mathematical Theories and Applications
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Framed Fractals: The Pulse of Reality · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS