Computational Extrapolation of Black Hole Spin from Solar System Dynamics

This paper proposes a computational similarity principle that holds universally across gravitational systems, from the scale of the Solar System to regions near black holes. We first define a dimensionless quantity, the computational characteristic impedance $Z_{\rm comp}$, which characterizes the balance between kinetic energy and spacetime curvature in the Newtonian limit. Analysis of all planets in the Solar System shows that this quantity converges with high precision to the theoretical equilibrium value $1/\sqrt{2}$. We then interpret this convergent value as a scale-transcending dynamic attractor and introduce an extrapolative framework in which, under strong gravitational fields, computational load is redistributed into the rotational degrees of freedom of spacetime. Within this framework, the predicted spin of M87* is $a \approx 0.62$, in good agreement with multiple independent observational indicators. The novelty of this work lies not in numerically reproducing existing observations, but in reinterpreting the interplay of spacetime geometry and dynamical evolution as a problem of computational resource allocation. This similarity principle suggests that cosmic structures may form under specific computational load-balancing conditions and provides concrete predictions for future observational verification.