Pseudothermality Resolves the Black-Hole Information Paradox in Hawking Radiation

This work presents a constructive resolution of the black-hole information paradox based on pseudothermality: radiation that looks thermal at all low orders while still carrying recoverable information at higher orders. This order-threshold structure reconciles Hawking-like observations with unitarity without requiring exact thermality.

The derivation is executed on a fully discrete register-space framework with minimal imported interfaces. A capacity bound tied to a minimal interior cut yields a post-Page constraint that forbids purely product emission and enforces correlation-bearing increments at late times. Exterior emission chains and discrete mode counting establish a luminosity scaling law, with the temperature scale calibrated directly from register-space statistics; the familiar surface-gravity identification is treated only as an optional recovery statement.

As non-normative context, the predicted signature—thermal agreement at low order with nonzero connected structure at higher order—aligns with reported higher-order correlations in thermalized many-body experiments (e.g., cold-atom systems), suggesting a general mechanism rather than a black-hole-specific exception.