Unifed Harmonic Soliton Model: Complete Mathematical Framework Python3 File and Complete PDF
Fuente:
Zenodo
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Recurso digital |
| Veröffentlicht: |
Zenodo
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866902337866432512 |
|---|---|
| author | Sowersby, Scott |
| author_facet | Sowersby, Scott |
| contents | <p> </p> <p> </p> <h3>This represents a mathematical framework that predicts Standard Model particle masses and charges through harmonic principles.</h3> <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_17010853 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| 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 Submitochondrial Particles Signal Recognition Particle/biosynthesis Particle Spectrophotometry, Atomic Spectrophotometry, Atomic/trends Spectrophotometry, Atomic/methods Atomic Bomb Survivors Spectrophotometry, Atomic/economics Spectrophotometry, Atomic/history Spectrophotometry, Atomic/ethics Spectrophotometry, Atomic/veterinary Microscopy, Atomic Force Spectrophotometry, Atomic/classification Spectrophotometry, Atomic/instrumentation Spectrophotometry, Atomic/standards Microscopy, Atomic Force/classification Microscopy, Atomic Force/ethics Microscopy, Atomic Force/instrumentation Microscopy, Atomic Force/standards Microscopy, Atomic Force/trends Atomic Bomb Survivors/classification Atomic Bomb Survivors/history Atomic Nuclear Pharmacy Nuclear Bodies Nuclear Physics Nuclear Reactors Nuclear Warfare Nuclear Medicine Nuclear Matrix RNA, Nuclear Nuclear risk Nuclear fuel Nuclear fission Nuclear reactor Nuclear weapon Nuclear Lamina Nuclear Pore Nuclear engineering Nuclear decay Nuclear fusion Nuclear Speckles Nuclear Cerebellar Nuclei Vestibular Nuclei Septal Nuclei Raphe Nuclei Thalamic Nuclei Trigeminal Nuclei Cerebellar Nuclei/microbiology Cerebellar Nuclei/physiology Cerebellar Nuclei/surgery Cerebellar Nuclei/ultrastructure Cerebellar Nuclei/virology Raphe Nuclei/abnormalities Raphe Nuclei/chemistry Raphe Nuclei/pathology Raphe Nuclei/physiopathology Septal Nuclei/cytology Septal Nuclei/immunology Septal Nuclei/parasitology Trigeminal Nuclei/abnormalities Trigeminal Nuclei/cytology Nuclei Fermions Fermium Vermin Fermium/toxicity Fermium/chemistry Fermium/analysis Fermium/metabolism Fermium/blood Fermium/history Fermium/classification Fermium/urine Version, Fetal Fermium/economics Fermium/pharmacokinetics Fermium/poisoning Fermium/pharmacology Fermium/standards Fermium/therapeutic use Version, Fetal/history Version, Fetal/instrumentation Fermion Higgs bosons Z bosons W bosons Boron Boron Bison Boron/economics Boron/history Boron/deficiency Boron/physiology Bison/abnormalities Bison/classification Bison/injuries Bison/surgery Bison/psychology Bison/urine Boron/agonists Boron/classification Boron/pharmacology Boron/immunology Boson Radon Radon Hydroa Vacciniforme Laron Syndrome Radon/analysis Radon/urine Radon/poisoning Hydro-Lyases Radon/chemistry Radon/classification Radon/history Radon/metabolism Radon/pharmacokinetics Radon/blood Radon/economics Radon/standards Radon/toxicity Radon/pharmacology Radon Daughters Hydroa Vacciniforme/psychology Beyond Standard Model Quantum Field Theory Standard Model Quantum Mechanics Hadron <p> </p> <p> </p> <h3>This represents a mathematical framework that predicts Standard Model particle masses and charges through harmonic principles.</h3> <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 Submitochondrial Particles Signal Recognition Particle/biosynthesis Particle Spectrophotometry, Atomic Spectrophotometry, Atomic/trends Spectrophotometry, Atomic/methods Atomic Bomb Survivors Spectrophotometry, Atomic/economics Spectrophotometry, Atomic/history Spectrophotometry, Atomic/ethics Spectrophotometry, Atomic/veterinary Microscopy, Atomic Force Spectrophotometry, Atomic/classification Spectrophotometry, Atomic/instrumentation Spectrophotometry, Atomic/standards Microscopy, Atomic Force/classification Microscopy, Atomic Force/ethics Microscopy, Atomic Force/instrumentation Microscopy, Atomic Force/standards Microscopy, Atomic Force/trends Atomic Bomb Survivors/classification Atomic Bomb Survivors/history Atomic Nuclear Pharmacy Nuclear Bodies Nuclear Physics Nuclear Reactors Nuclear Warfare Nuclear Medicine Nuclear Matrix RNA, Nuclear Nuclear risk Nuclear fuel Nuclear fission Nuclear reactor Nuclear weapon Nuclear Lamina Nuclear Pore Nuclear engineering Nuclear decay Nuclear fusion Nuclear Speckles Nuclear Cerebellar Nuclei Vestibular Nuclei Septal Nuclei Raphe Nuclei Thalamic Nuclei Trigeminal Nuclei Cerebellar Nuclei/microbiology Cerebellar Nuclei/physiology Cerebellar Nuclei/surgery Cerebellar Nuclei/ultrastructure Cerebellar Nuclei/virology Raphe Nuclei/abnormalities Raphe Nuclei/chemistry Raphe Nuclei/pathology Raphe Nuclei/physiopathology Septal Nuclei/cytology Septal Nuclei/immunology Septal Nuclei/parasitology Trigeminal Nuclei/abnormalities Trigeminal Nuclei/cytology Nuclei Fermions Fermium Vermin Fermium/toxicity Fermium/chemistry Fermium/analysis Fermium/metabolism Fermium/blood Fermium/history Fermium/classification Fermium/urine Version, Fetal Fermium/economics Fermium/pharmacokinetics Fermium/poisoning Fermium/pharmacology Fermium/standards Fermium/therapeutic use Version, Fetal/history Version, Fetal/instrumentation Fermion Higgs bosons Z bosons W bosons Boron Boron Bison Boron/economics Boron/history Boron/deficiency Boron/physiology Bison/abnormalities Bison/classification Bison/injuries Bison/surgery Bison/psychology Bison/urine Boron/agonists Boron/classification Boron/pharmacology Boron/immunology Boson Radon Radon Hydroa Vacciniforme Laron Syndrome Radon/analysis Radon/urine Radon/poisoning Hydro-Lyases Radon/chemistry Radon/classification Radon/history Radon/metabolism Radon/pharmacokinetics Radon/blood Radon/economics Radon/standards Radon/toxicity Radon/pharmacology Radon Daughters Hydroa Vacciniforme/psychology Beyond Standard Model Quantum Field Theory Standard Model Quantum Mechanics Hadron |
| url | https://doi.org/10.5281/zenodo.17010853 |