Recoverability Across the Physical Sciences

I establish recoverability as one cross-regime physical calculus rather than a collection of discipline-specific analogies. For every admitted branch I define the state space, proved redundancy group, physical quotient, lawful evolution, observation map, covariance, nuisance tangent and persistence protocol. Structural recovery is stable inversion of an attained endpoint map.Observational recovery is full physical rank of the covariance-whitened nuisance-projected Jacobian. Persistence requires the same branch to survive time, held-out data, instrument, material or platform without an undeclared refit. I then test this calculus across ideal transport, Navier-Stokes regularisation, superfluid winding, graphene hydrodynamics, unitary and Bohmian quantum branches, scalar atomic spectra, recovered response geometry, precision gravimetry, Casimir boundary response, cosmic expansion and galaxy-cluster likelihoods. The witnesses reproduce the same logical order while preserving their distinct states, metrics and observables. The resulting cross-regime theorem states that physical recovery is stable inversion of a lawful quotient respecting map followed by independent persistence. It also states the exact failure boundaries: non-injectivity, rank loss, ill-conditioning, branch escape, topological change, nuisance absorption, held-out failure and incompatible parameter translation. Recoverability is thereby established as the tenth descent of physical law. Keywords: recoverability; inverse problems; identifiability; persistence; nuisance projection; held-out validation; physical quotient; Chronoflux Atlas