Unifed Harmonic Soliton Model: Complete Mathematical Framework Python3 File and Complete PDF
Fuente:
Zenodo
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Recurso digital |
| Veröffentlicht: |
Zenodo
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866902338330951680 |
|---|---|
| author | Sowersby, Scott |
| author_facet | Sowersby, Scott |
| contents | <h3> </h3> <h3> The Unified Harmonic Soliton Model (UHSM) maps particle properties onto a log₂-based phase space using the Higgs boson mass (125.18 GeV) as reference, revealing systematic correlations across 15 orders of magnitude. Statistical validation against experimental data yields R² = 0.999957, χ²/dof = 0.086, and p = 4.76×10⁻²³.</h3> <h3> </h3> <h3>The model achieves 0.0279% mean error for particles above 1 GeV, with systematic deviations for lighter particles consistent with QCD and electromagnetic corrections to bare masses.</h3> <h3> </h3> <h3> Charge quantization emerges from a harmonic waveform (RMS error = 0.7109) incorporating the Pythagorean comma κ = 3¹²/2¹⁹ as a universal parameter.</h3> <h3> </h3> <h3>The mass generation formula integrates solitonic field theory, topological charge conservation, and quantum corrections.</h3> <h3> </h3> <h3> Comparative analysis shows superior performance to Standard Model approaches across all statistical metrics. The framework generates testable predictions for undiscovered particles at specific harmonic intervals and suggests harmonic mathematics as a fundamental organizing principle in particle physics.</h3> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19148567 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Unifed Harmonic Soliton Model: Complete Mathematical Framework Python3 File and Complete PDF Sowersby, Scott Particle Physics Quantum field theory Particle separator Elementary Particle Interactions Single particle characterisation Physics Mathematical physics Laser physics Physics/instrumentation Physics/methods Physics/standards Transport (physics) Nuclear physics Particle physics Atomic physics Nuclear physics Quantum physics Plasma physics Physics/education Heat (physics) Solar physics Mesoscopic physics Health Physics Physics Particle Particle Accelerators Particle Size Particle accelerator Solid particle Particle Accelerators/standards Particle Accelerators/history Particle Accelerators/economics Beta Particles Elementary Particles Signal Recognition Particle Particle Accelerators/classification Particle Accelerators/instrumentation Alpha Particles Signal Recognition Particle/biosynthesis Particle Spectrophotometry, Atomic Spectrophotometry, Atomic/trends Spectrophotometry, Atomic/methods Microscopy, Atomic Force Spectrophotometry, Atomic/classification Atomic Nuclear Physics Nuclear decay Nuclear fusion Nuclear Speckles Nuclear Nuclei Fermions Higgs bosons Z bosons W bosons Beyond Standard Model Quantum Field Theory Standard Model Quantum Mechanics Hadron <h3> </h3> <h3> The Unified Harmonic Soliton Model (UHSM) maps particle properties onto a log₂-based phase space using the Higgs boson mass (125.18 GeV) as reference, revealing systematic correlations across 15 orders of magnitude. Statistical validation against experimental data yields R² = 0.999957, χ²/dof = 0.086, and p = 4.76×10⁻²³.</h3> <h3> </h3> <h3>The model achieves 0.0279% mean error for particles above 1 GeV, with systematic deviations for lighter particles consistent with QCD and electromagnetic corrections to bare masses.</h3> <h3> </h3> <h3> Charge quantization emerges from a harmonic waveform (RMS error = 0.7109) incorporating the Pythagorean comma κ = 3¹²/2¹⁹ as a universal parameter.</h3> <h3> </h3> <h3>The mass generation formula integrates solitonic field theory, topological charge conservation, and quantum corrections.</h3> <h3> </h3> <h3> Comparative analysis shows superior performance to Standard Model approaches across all statistical metrics. The framework generates testable predictions for undiscovered particles at specific harmonic intervals and suggests harmonic mathematics as a fundamental organizing principle in particle physics.</h3> |
| title | Unifed Harmonic Soliton Model: Complete Mathematical Framework Python3 File and Complete PDF |
| topic | Particle Physics Quantum field theory Particle separator Elementary Particle Interactions Single particle characterisation Physics Mathematical physics Laser physics Physics/instrumentation Physics/methods Physics/standards Transport (physics) Nuclear physics Particle physics Atomic physics Nuclear physics Quantum physics Plasma physics Physics/education Heat (physics) Solar physics Mesoscopic physics Health Physics Physics Particle Particle Accelerators Particle Size Particle accelerator Solid particle Particle Accelerators/standards Particle Accelerators/history Particle Accelerators/economics Beta Particles Elementary Particles Signal Recognition Particle Particle Accelerators/classification Particle Accelerators/instrumentation Alpha Particles Signal Recognition Particle/biosynthesis Particle Spectrophotometry, Atomic Spectrophotometry, Atomic/trends Spectrophotometry, Atomic/methods Microscopy, Atomic Force Spectrophotometry, Atomic/classification Atomic Nuclear Physics Nuclear decay Nuclear fusion Nuclear Speckles Nuclear Nuclei Fermions Higgs bosons Z bosons W bosons Beyond Standard Model Quantum Field Theory Standard Model Quantum Mechanics Hadron |
| url | https://doi.org/10.5281/zenodo.19148567 |