Black-Hole Entropy as Boundary Topological Recycling
Abstract
Black-hole entropy scales with horizon area rather than interior volume. This conceptual hypothesis interprets that area law as the thermodynamic signature of boundary topological recycling: in stationary exterior bookkeeping, a structured infalling configuration is mapped to conserved charges plus unresolved horizon, radiation, and correlation channels, while its detailed organization no longer appears as recoverable stationary exterior architecture. The paper represents this distinction with a many-to-one exterior map, a four-channel decomposition, and a schematic structural/topological-load template K[Γ]. It separates loss from the stationary exterior ledger from claims about microscopic nonunitarity or annihilation and compares the interpretation with stretched-horizon, holographic, fuzzball, soft-hair, entanglement, and island/Page-curve accounts. The formulation states inherited consistency conditions—leading area scaling and no additional classical hair attributable to unprotected complexity within stationary electrovacuum—and identifies transient relaxation and radiation correlations as candidate research channels. The maps and K[Γ] are bookkeeping constructions: their spaces, weights, and dynamics remain unspecified. The hypothesis therefore defines a conceptual research program rather than a microscopic entropy count or quantitative prediction. A completion would need to define and evaluate the structural quantity, recover the coefficient 1/4 without calibration,…
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