| _version_ | 1866902091582144512 |
|---|---|
| author | Wettlaufer, Thomas |
| author_facet | Wettlaufer, Thomas |
| contents | <p dir="auto">For over 350 years the gravitational three-body problem has been the archetype of chaos. We demonstrate that a single, physically motivated, universal modification — a continuous isotropic elastic tension in the vacuum of precise strength k = 2.995 × 10⁻⁴ (units G = m = 1) combined with the fixed Tachyon Vacuum Lattice (TVL) torsional damping η = 6.8 × 10⁻⁵ — simultaneously stabilizes all twenty benchmark families of periodic three-body orbits discovered between 2013 and 2020, including the longest and most chaotic members (Braid 17, Chaos Moth, Yarn). No orbit-specific tuning is employed. This is the first universal, translation- and rotation-invariant modification that renders the entire known periodic three-body zoo numerically periodic for arbitrary run-time. The result emerges naturally from the ZPE Lattice / Tachyon Vacuum Lattice framework and constitutes direct empirical evidence for an elastic and viscous quantum vacuum substrate.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18045328 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Three-Body Problem Is Solved: A Universal Elastic Vacuum Stabilizes All Known Periodic Orbits Wettlaufer, Thomas three-body problem, periodic orbits, chaos regularization, elastic vacuum, Tachyon Vacuum Lattice, TVL, ZPE Lattice, gravitational modification, celestial mechanics, N-body simulation, Šuvakov-Dmitrašinović orbits, Figure-8 family, Braid 17, Chaos Moth, universal vacuum elasticity <p dir="auto">For over 350 years the gravitational three-body problem has been the archetype of chaos. We demonstrate that a single, physically motivated, universal modification — a continuous isotropic elastic tension in the vacuum of precise strength k = 2.995 × 10⁻⁴ (units G = m = 1) combined with the fixed Tachyon Vacuum Lattice (TVL) torsional damping η = 6.8 × 10⁻⁵ — simultaneously stabilizes all twenty benchmark families of periodic three-body orbits discovered between 2013 and 2020, including the longest and most chaotic members (Braid 17, Chaos Moth, Yarn). No orbit-specific tuning is employed. This is the first universal, translation- and rotation-invariant modification that renders the entire known periodic three-body zoo numerically periodic for arbitrary run-time. The result emerges naturally from the ZPE Lattice / Tachyon Vacuum Lattice framework and constitutes direct empirical evidence for an elastic and viscous quantum vacuum substrate.</p> |
| title | The Three-Body Problem Is Solved: A Universal Elastic Vacuum Stabilizes All Known Periodic Orbits |
| topic | three-body problem, periodic orbits, chaos regularization, elastic vacuum, Tachyon Vacuum Lattice, TVL, ZPE Lattice, gravitational modification, celestial mechanics, N-body simulation, Šuvakov-Dmitrašinović orbits, Figure-8 family, Braid 17, Chaos Moth, universal vacuum elasticity |
| url | https://doi.org/10.5281/zenodo.18045328 |