What question did this study set out to answer?

To regularise the classical three-body problem using topological methods and explore implications for gravitational systems.

March 25, 2026Open Access

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

Puntos clave

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.

Resumen

The classical three-body problem is regularised by BCT lattice incompressibility imposing minimum separation rₘin = RBCT × lP = 1. 843 lP. Trilinear gravitational coupling g₃ = α₀² × rₜet/rₒct = 2. 98×10⁻⁵ derived with zero free parameters. Hopf stability criterion: Hₛystem ∈ ℤ gives topological lifetime τ = tU × exp (5329/n). Sun-Earth-Moon system explained as H=3 topologically locked configuration. Prediction #147: hierarchical triple stellar systems satisfying BCT Hopf criterion show anomalously long stability — testable with Gaia DR3. BCT SAR application to Machu Picchu subsurface mapping included. Zero free parameters.

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