Unified Theory of Motion — Official Structured Release

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Autore principale: ivansalines
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Pubblicazione: Zenodo 2025
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contents <p>This is the official structured release of the <strong>Unified Theory of Motion</strong>, including a complete repository organization, updated documentation, figures, numerical code, and DOI archival.</p> <h2> Documentation (docs/)</h2> <h3>01_Foundation/</h3> <ul> <li>Conceptual origin of the Unified Theory of Motion.</li> <li>The fundamental idea: reality as organized motion.</li> <li>Continuum bridge between relativity and wave–particle duality.</li> </ul> <h3>02_Framework/</h3> <ul> <li>Full mathematical and numerical formulation of the theory.</li> <li>Decomposition of motion into density and phase.</li> <li>Complex scalar-field model Φ = ρ e^{iθ}.</li> <li>Stable toroidal solitons arising from internal phase winding.</li> <li>Numerical relaxation method and validation.</li> </ul> <h3>03_Advanced/</h3> <ul> <li>Gravitational phenomenology (effective curvature from phase gradients).</li> <li>Electromagnetic analogies.</li> <li>Nonlinear stability and dynamic attraction.</li> <li>Thermodynamics and statistical mechanics of toroidal solitons.</li> <li>Quantum structure, spectrum, and semiclassical quantization.</li> <li>Coupling to General Relativity and effective field theory.</li> <li>Interaction with black holes and extreme geometry.</li> </ul> <h3>04_Special/</h3> <ul> <li>The Toroidal Law of Organized Motion.</li> <li>Archival/legacy variants and supporting material.</li> </ul> <h2> Numerical Code (code/)</h2> <p>This release includes reproducible Python scripts:</p> <ul> <li><code>scan_Q_toroide.py</code> — charge scan and energy–geometry relations.</li> <li><code>relaxation_solver.py</code> — numerical relaxation for stable toroidal solutions.</li> <li>Additional utilities for plots, profiles, density maps.</li> <li><code>requirements.txt</code> for full environment reproducibility.</li> </ul> <p>To reproduce results:</p> <p>pip install -r code/requirements.txt python code/scan_Q_toroide.py python code/relaxation_solver.py</p> <h2> Figures (figures/)</h2> <ul> <li>Density maps ρ(R,Z), ρ(X,Y)</li> <li>Radial profiles for multiple Q</li> <li>Energy vs charge scaling</li> <li>Toroidal cross-sections and structure maps</li> <li>All figures used in the associated documents</li> </ul> <h2> DOI (Zenodo)</h2> <p>This release is formally archived at Zenodo:</p> <p> <strong>https://doi.org/10.5281/zenodo.17653903</strong></p> <p>Use this DOI for citation.</p> <h2> Author</h2> <p><strong>Ivan Salines — Independent Researcher</strong><br> ivan.salines@gmail.com</p> <h2> Purpose</h2> <p>This release consolidates:</p> <ul> <li>the full theoretical framework,</li> <li>the mathematical formalism,</li> <li>numerical validation,</li> <li>reproducible scripts,</li> <li>visualizations,</li> <li>and archival DOI preservation.</li> </ul> <p>It is intended as a stable scientific reference for researchers evaluating or building upon the Unified Theory of Motion.</p>
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spellingShingle Unified Theory of Motion — Official Structured Release
ivansalines
toroidal solitons
organized motion
complex scalar field
Q-ball
Q-toroid
phase winding
confinement potential
gradient-flow
emergent mass
emergent geometry
unified field theory
continuum physics
relativistic solitons
field dynamics
Mathematical physics
Theoretical physics
Quantum physics
Particle physics
Quantum field theory
<p>This is the official structured release of the <strong>Unified Theory of Motion</strong>, including a complete repository organization, updated documentation, figures, numerical code, and DOI archival.</p> <h2> Documentation (docs/)</h2> <h3>01_Foundation/</h3> <ul> <li>Conceptual origin of the Unified Theory of Motion.</li> <li>The fundamental idea: reality as organized motion.</li> <li>Continuum bridge between relativity and wave–particle duality.</li> </ul> <h3>02_Framework/</h3> <ul> <li>Full mathematical and numerical formulation of the theory.</li> <li>Decomposition of motion into density and phase.</li> <li>Complex scalar-field model Φ = ρ e^{iθ}.</li> <li>Stable toroidal solitons arising from internal phase winding.</li> <li>Numerical relaxation method and validation.</li> </ul> <h3>03_Advanced/</h3> <ul> <li>Gravitational phenomenology (effective curvature from phase gradients).</li> <li>Electromagnetic analogies.</li> <li>Nonlinear stability and dynamic attraction.</li> <li>Thermodynamics and statistical mechanics of toroidal solitons.</li> <li>Quantum structure, spectrum, and semiclassical quantization.</li> <li>Coupling to General Relativity and effective field theory.</li> <li>Interaction with black holes and extreme geometry.</li> </ul> <h3>04_Special/</h3> <ul> <li>The Toroidal Law of Organized Motion.</li> <li>Archival/legacy variants and supporting material.</li> </ul> <h2> Numerical Code (code/)</h2> <p>This release includes reproducible Python scripts:</p> <ul> <li><code>scan_Q_toroide.py</code> — charge scan and energy–geometry relations.</li> <li><code>relaxation_solver.py</code> — numerical relaxation for stable toroidal solutions.</li> <li>Additional utilities for plots, profiles, density maps.</li> <li><code>requirements.txt</code> for full environment reproducibility.</li> </ul> <p>To reproduce results:</p> <p>pip install -r code/requirements.txt python code/scan_Q_toroide.py python code/relaxation_solver.py</p> <h2> Figures (figures/)</h2> <ul> <li>Density maps ρ(R,Z), ρ(X,Y)</li> <li>Radial profiles for multiple Q</li> <li>Energy vs charge scaling</li> <li>Toroidal cross-sections and structure maps</li> <li>All figures used in the associated documents</li> </ul> <h2> DOI (Zenodo)</h2> <p>This release is formally archived at Zenodo:</p> <p> <strong>https://doi.org/10.5281/zenodo.17653903</strong></p> <p>Use this DOI for citation.</p> <h2> Author</h2> <p><strong>Ivan Salines — Independent Researcher</strong><br> ivan.salines@gmail.com</p> <h2> Purpose</h2> <p>This release consolidates:</p> <ul> <li>the full theoretical framework,</li> <li>the mathematical formalism,</li> <li>numerical validation,</li> <li>reproducible scripts,</li> <li>visualizations,</li> <li>and archival DOI preservation.</li> </ul> <p>It is intended as a stable scientific reference for researchers evaluating or building upon the Unified Theory of Motion.</p>
title Unified Theory of Motion — Official Structured Release
topic toroidal solitons
organized motion
complex scalar field
Q-ball
Q-toroid
phase winding
confinement potential
gradient-flow
emergent mass
emergent geometry
unified field theory
continuum physics
relativistic solitons
field dynamics
Mathematical physics
Theoretical physics
Quantum physics
Particle physics
Quantum field theory
url https://doi.org/10.5281/zenodo.17654495