Towards a Unified Theory Through Scale Transitions

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Autor principal: Frankl, Richard
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Publicado: Zenodo 2025
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author Frankl, Richard
author_facet Frankl, Richard
contents <p>This paper explores a novel approach to unifying fundamental physics by introducing <strong>scale as a fundamental variable</strong>that governs the transition between different physical regimes. The proposed framework suggests that the missing link between <strong>general relativity and quantum mechanics</strong> lies in understanding how physical laws change across scales.</p> <p>The study develops a mathematical model in which a scaling function, <span><span>S</span><span><span><span>S</span></span></span></span>, interpolates between quantum and macroscopic domains, providing a smooth transition between existing theories. This formulation allows for a unified perspective on key phenomena such as <strong>quantum black holes, the early universe, and the unification of fundamental forces</strong>.</p> <p>Furthermore, we propose experimental approaches to test whether <strong>fundamental constants such as the gravitational constant <span><span>G</span><span><span><span>G</span></span></span></span> and the fine-structure constant <span><span>α</span><span><span><span>α</span></span></span></span> exhibit scale-dependent variations</strong>. These predictions could offer new insights into <strong>dark matter, dark energy, and cosmic expansion</strong>.</p> <p>The findings presented in this work provide a promising direction for future research in <strong>quantum gravity, cosmology, and high-energy physics</strong>, potentially bridging the gap toward a deeper understanding of the fundamental structure of the universe.</p>
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language
publishDate 2025
publisher Zenodo
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spellingShingle Towards a Unified Theory Through Scale Transitions
Frankl, Richard
Scale Transitions,
Quantum Gravity
General Relativity
Fundamental Physics
Unification of Physics
Cosmology
Quantum Mechanics
Dark Matter
Dark Energy
Fundamental Constants
Hubble Constant
Modified Gravity
Renormalization Group
Fine-Structure Constant
Gravitational Constant Variation
Spacetime Structure
Cosmic Expansion
Black Hole Physics
Theoretical Physics
Mathematical Physics
<p>This paper explores a novel approach to unifying fundamental physics by introducing <strong>scale as a fundamental variable</strong>that governs the transition between different physical regimes. The proposed framework suggests that the missing link between <strong>general relativity and quantum mechanics</strong> lies in understanding how physical laws change across scales.</p> <p>The study develops a mathematical model in which a scaling function, <span><span>S</span><span><span><span>S</span></span></span></span>, interpolates between quantum and macroscopic domains, providing a smooth transition between existing theories. This formulation allows for a unified perspective on key phenomena such as <strong>quantum black holes, the early universe, and the unification of fundamental forces</strong>.</p> <p>Furthermore, we propose experimental approaches to test whether <strong>fundamental constants such as the gravitational constant <span><span>G</span><span><span><span>G</span></span></span></span> and the fine-structure constant <span><span>α</span><span><span><span>α</span></span></span></span> exhibit scale-dependent variations</strong>. These predictions could offer new insights into <strong>dark matter, dark energy, and cosmic expansion</strong>.</p> <p>The findings presented in this work provide a promising direction for future research in <strong>quantum gravity, cosmology, and high-energy physics</strong>, potentially bridging the gap toward a deeper understanding of the fundamental structure of the universe.</p>
title Towards a Unified Theory Through Scale Transitions
topic Scale Transitions,
Quantum Gravity
General Relativity
Fundamental Physics
Unification of Physics
Cosmology
Quantum Mechanics
Dark Matter
Dark Energy
Fundamental Constants
Hubble Constant
Modified Gravity
Renormalization Group
Fine-Structure Constant
Gravitational Constant Variation
Spacetime Structure
Cosmic Expansion
Black Hole Physics
Theoretical Physics
Mathematical Physics
url https://doi.org/10.5281/zenodo.15048634