Structural Displacement: How Computational Finitism Resolves the Information Paradox Without Loss or Rounding

The apparent loss of information in black hole evaporation, quantum measurement, and thermodynamic dissipation has remained a persistent paradox in theoretical physics for fifty years. The standard resolutions, information destruction, information scrambling, or information cloning, all violate at least one foundational principle. We propose a resolution within Computational Finitism: information is neither lost nor scrambled. It is displaced. The substrate has a three-level architecture: the Fano channels (ordered sector), the Topological Redundancy Buffer (error-correcting sector), and the noise field (residual sector). When a physical process exceeds the TRB's capacity, the excess information is transferred to the noise field rather than destroyed. The extended state space (Fano + TRB + noise) evolves unitarily; the Second Law is a theorem about the inaccessibility of the noise field, not a fundamental axiom. The noise field is identified with the dark sector: dark matter and dark energy are the same field observed at different scales. A re-absorption mechanism prevents the noise field from growing without bound: displaced information can return from the noise sector to the TRB when local conditions permit. This yields a dynamic equilibrium: the noise field has a finite steady-state density determined by the balance of displacement and re-absorption. The resolution predicts specific, falsifiable signatures in black hole evaporation, dark matter distribution, quantum decoherence, and CMB spectral distortions.