BCT Letter 104: The Three-Body Problem from BCT Vacuum Topology — Topological Regularisation of Gravitational Chaos and Hopf Charge Conservation

Key Points

• To regularise the classical three-body problem using topological methods and explore implications for gravitational systems.
• Applied BCT lattice incompressibility enforcing minimum separation between bodies.
• Derived gravitational coupling using specific parameters.
• Explored Hopf stability criterion for topological configurations.
• Analyzed stability in the Sun-Earth-Moon system and generalized for hierarchical triple systems.
• Established a topological lifetime for systems based on the Hopf criterion.
• Found hierarchical systems under BCT criteria exhibit unusually long stability.
• Predictions testable with upcoming observational data from Gaia DR3.

Abstract