The Physical Emergence of MOND's Acceleration:A First-Principles Derivation of a₀ from Distributed Momentum Compression
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2025
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| author | BRICIO ARZUBIDE, Alvaro Fabian |
| author_facet | BRICIO ARZUBIDE, Alvaro Fabian |
| contents | <p>This document reflects an early unification attempt. Later statistical results show that MIND generalizes MOND rather than aligns with it.</p> <p>This visual whitepaper solves a 40-year mystery: why does MOND work, and where does its acceleration scale a₀ ≈ 1.2×10⁻¹⁰ m/s² come from?</p> <p>We derive a₀ from first principles showing it emerges from General Relativity when the complete stress-energy-momentum tensor (T⁰⁰ + T⁰ⁱ) acts as gravitational source.</p> <p>Result: a₀ = G M_typical / R²_coherence = 1.48×10⁻¹⁰ m/s²<br>Matches MOND's empirical value within 20% with zero free parameters.</p> <p>The whitepaper (~35 pages) includes:<br>- Complete step-by-step visual derivation (from 10⁻⁴ to 10⁻¹⁰ m/s²)<br>- Professional figures (morphology dependence, redshift predictions)<br>- Reproducible Python code<br>- Testable predictions for JWST observations</p> <p>This validates 40 years of MOND phenomenology while providing the missing physical mechanism. No modification of GR needed—complete application of existing physics.</p> <p>IMPLICATIONS:</p> <p>• For MOND: Validates 40 years of phenomenology, provides missing mechanism<br>• For GR: No modification needed, complete application of T_μν<br>• For ΛCDM: Falsified at galactic scales, possible hybrid cosmological picture<br>• For Science: Example of empirical observation leading to fundamental physics</p> <p>RELATED WORK:<br>- Milgrom (1983): Original MOND proposal<br>- McGaugh et al. (2016): Radial Acceleration Relation<br>- Lelli et al. (2016): SPARC galaxy database<br>- MIND Framework: Momentum as gravitational source</p> <p>Keywords: astrophysics, dark matter, MOND, galaxy dynamics, rotation curves, General Relativity, frame-dragging, momentum, stress-energy tensor, acceleration scale, Tully-Fisher, empirical laws, emergent physics, MIND framework, galactic structure</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18071858 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Physical Emergence of MOND's Acceleration:A First-Principles Derivation of a₀ from Distributed Momentum Compression BRICIO ARZUBIDE, Alvaro Fabian ASTROPHYSICS DARK MATTER GALAXY DYNAMICS ROTATION CURVES general relativity frame-dragging momentum stress-energy tensor acceleration scale tully-fisher empirical laws emergent physics MIND framework galactic structure <p>This document reflects an early unification attempt. Later statistical results show that MIND generalizes MOND rather than aligns with it.</p> <p>This visual whitepaper solves a 40-year mystery: why does MOND work, and where does its acceleration scale a₀ ≈ 1.2×10⁻¹⁰ m/s² come from?</p> <p>We derive a₀ from first principles showing it emerges from General Relativity when the complete stress-energy-momentum tensor (T⁰⁰ + T⁰ⁱ) acts as gravitational source.</p> <p>Result: a₀ = G M_typical / R²_coherence = 1.48×10⁻¹⁰ m/s²<br>Matches MOND's empirical value within 20% with zero free parameters.</p> <p>The whitepaper (~35 pages) includes:<br>- Complete step-by-step visual derivation (from 10⁻⁴ to 10⁻¹⁰ m/s²)<br>- Professional figures (morphology dependence, redshift predictions)<br>- Reproducible Python code<br>- Testable predictions for JWST observations</p> <p>This validates 40 years of MOND phenomenology while providing the missing physical mechanism. No modification of GR needed—complete application of existing physics.</p> <p>IMPLICATIONS:</p> <p>• For MOND: Validates 40 years of phenomenology, provides missing mechanism<br>• For GR: No modification needed, complete application of T_μν<br>• For ΛCDM: Falsified at galactic scales, possible hybrid cosmological picture<br>• For Science: Example of empirical observation leading to fundamental physics</p> <p>RELATED WORK:<br>- Milgrom (1983): Original MOND proposal<br>- McGaugh et al. (2016): Radial Acceleration Relation<br>- Lelli et al. (2016): SPARC galaxy database<br>- MIND Framework: Momentum as gravitational source</p> <p>Keywords: astrophysics, dark matter, MOND, galaxy dynamics, rotation curves, General Relativity, frame-dragging, momentum, stress-energy tensor, acceleration scale, Tully-Fisher, empirical laws, emergent physics, MIND framework, galactic structure</p> |
| title | The Physical Emergence of MOND's Acceleration:A First-Principles Derivation of a₀ from Distributed Momentum Compression |
| topic | ASTROPHYSICS DARK MATTER GALAXY DYNAMICS ROTATION CURVES general relativity frame-dragging momentum stress-energy tensor acceleration scale tully-fisher empirical laws emergent physics MIND framework galactic structure |
| url | https://doi.org/10.5281/zenodo.18071858 |