Many-Worlds as Computational Framework: Projective Dynamics from High-Dimensional Deterministic Manifolds to Observable Stochastic Evolution

We present a novel computational framework that uses many-worlds concepts as practical tools for physical modelling rather than metaphysical ideas. Our approach models observable phenomena as projections from high-dimensional deterministic manifolds governed by systems of PDEs onto evolving low-dimensional stochastic manifolds. Classical dynamics corresponds to projections from real manifolds (ℝᴺ), while quantum phenomena emerge from projections of complex manifolds (ℂᴺ), naturally including entanglement and interference effects. The framework extends thermodynamic entropy concepts to general statistical quantities Q through a generalized dQ/T formalism, enabling applications beyond traditional thermal systems. We demonstrate applications to gravitational dynamics where "other world" remnants appear as soliton-like disturbances affecting observable orbital mechanics. Though potentially undetectable, these remnants can significantly influence trajectory predictions, especially for comet-like parabolic orbits. Following the ontologically neutral approach of density functional theory, our framework emphasizes computational utility and experimental predictions over interpretational questions. We show how the mathematical structure naturally links to Fokker-Planck and Lindblad equation formalism, providing computational pathways for implementation using existing methods in warm dense matter physics. Specific applications to astronomical observations are presented, including techniques for localizing soliton remnants and making statistical predictions about their effects on observable dynamics. The framework's potential for near-term realization is demonstrated through connections to established computational chemistry and extreme physics methodologies.