This work presents a conceptual framework for understanding black holes, holography, and information conservation through the lens of persistence—defined here as the conservation of distinguishability and historical structure across physical evolution. Rather than proposing new dynamics or a theory of quantum gravity, the paper offers an interpretive layer that clarifies why black hole interiors resist finite shortcut descriptions and why boundary-based encoding becomes necessary. Within this framework, black holes are treated as irreducible persistence concentrators: systems whose interior evolution cannot be compressed without loss of consistency. Holography is reinterpreted not as a geometric compression mechanism, but as an informational ledger that encodes the persistent outcomes of irreducible bulk dynamics. Classical singularities are understood as artifacts of continuum descriptions attempting to bypass such irreducibility. The paper further reframes the Page curve as a manifestation of persistence conservation, tracking the redistribution of distinguishability between black holes and their radiation rather than the delayed release of stored information. Long-standing black hole paradoxes—such as information loss and firewalls—are revisited and shown to arise from assumptions about shortcut interior descriptions. This work is intended for readers interested in the foundations of black hole physics, holography, and information-theoretic approaches to gravity. It makes no claims beyond established formalisms and is explicitly conservative and falsifiable in scope.