Three-Body Dynamics as a G₂–Octonionic Geodesic with Associator Torque

We reformulate the classical three-body problem within the algebra of octonions and the geometry of the exceptional Lie group G₂. By embedding the Newtonian configuration space into a seven-dimensional non-associative manifold, the apparent chaos of three-body motion becomes a geometric property of the associator torque rather than a random instability. A small informational-viscosity parameter , derived from the Viscous Time Theory (VTT), is introduced to regularize energy divergence and confine chaotic diffusion. The resulting G₂–Lie variational integrator preserves phase volume while dynamically damping entropy flux through coherence feedback . Numerical simulations confirm that near-collision singularities are resolved without artificial damping, and long-term energy drift remains below . This framework provides a coherent bridge between non-associative geometry, variational mechanics, and informational physics, suggesting that the stability of gravitational systems arises from the preservation of informational structure rather than purely dynamical constraints.