Full-Resolution Persistence Objects FRPOs Irreducible Gravitational Collapse as Physical Computation

I propose the notion of a Full-Resolution Persistence Object (FRPO): a physical system whose full-resolution macroscopic state cannot be obtained by any computational shortcut, but instead requires the step-by-step unfolding of the underlying dynamics. In such systems, attempts to compress the dynamics into a simpler closed-form or effective description fail precisely in the regimes where physics currently encounters divergences or singularities.

I argue that astrophysical black holes are natural candidates for FRPO behavior. They arise as endpoints of gravitational collapse where predictive shortcuts break down, and where the resulting object plausibly encodes—at its horizon and associated microstates—the detailed information content of its formation history.

This work presents FRPO as a conceptual framework that connects gravitational collapse, black-hole entropy, and computational irreducibility, while remaining agnostic about the correct microscopic theory of quantum gravity.