This work develops a continuity-first reconstruction of the Mukhanov--Sasaki perturbation sector within cosmological inflationary theory through the combined structures of admissibility, recoverability, and covariant closure. The manuscript does not claim to replace standard cosmological perturbation theory, general relativity, or quantum field theory. Instead, the standard Mukhanov--Sasaki structure is explicitly recovered and reorganized through a continuity-first inferential hierarchy in which gauge reduction, ADM constraint elimination, canonical normalization, and perturbative freeze-out emerge as admissible recoverable structures of conserved covariant redistribution. The work introduces: an operational admissibility hierarchy, recoverability functionals, gauge-invariant filtering structure, continuity-preserving perturbative reduction, and an admissibility-limited amplification sector applicable to ultra-slow-roll and primordial black-hole amplification scenarios. A phenomenological recoverability ceiling is developed for super-Hubble scalar amplification, yielding a concrete residual program with potential observational implications for primordial black-hole abundance and scalar-induced gravitational-wave production. The manuscript contains: full ADM reduction, scalar and tensor perturbation structure, canonical Mukhanov variable recovery, quadratic action derivations, canonical quantization consistency, spectral-index reconstruction, non-Gaussianity discussion, EFT inflation relationship analysis, decoherence and recoverability structure, Dirac-fluid hydrodynamic analogues, and extensive appendix-level derivations. This preprint is intended as an open scientific contribution for scholarly discussion, criticism, refinement, and further operational development.
Roy Herbert (Fri,) studied this question.