Recoverable Continuity as a Falsifiable Physical Constraint: An Experimental Program for Quantum Attribution, Chained Transformation, Irreversibility, and Gravitation

The recoverable-continuity framework proposes that a physical state, law, action, or con-sequence remains coherently attributable through transformation only while the relation connectingearlier and later states remains recoverable. Prior work formulated this claim as a structural constrainton lawful physical domains and interpreted quantum measurement in terms of recoverable attribution.Yet ordinary interference, decoherence, error correction, process tomography, scrambling, and recoveryexperiments already measure quantities closely related to path distinguishability, information preserva-tion, and reversibility. Repeating those experiments would not independently test C 2 = C. This papertherefore separates three evidential levels: established recoverability phenomena within existing physics;the upstream structural constraint; and additional bridge hypotheses required for distinct empiricalpredictions. It defines operational source-attribution recoverability, quantum recovery fidelity, local–globalcontinuity displacement, continuity loss, and process-history equivalence. A no-free-test proposition showsthat the bare structural principle cannot be experimentally distinguished from a physical theory thatmakes identical operational predictions. Falsifiability requires an added bridge stating how recoverabilityhistory changes outcome probabilities after conventional state, channel, process-memory, and environ-mental variables are matched. Five coordinated experiments are proposed: a matched-endpoint historytest; a chained-transformation process-tensor test; a reversible-scrambling versus irreversible-channeltest; a gravity-coupled recoverability test using separated quantum memories or clock interferometry;and an analog-horizon scrambling-and-recovery test. Each protocol specifies standard-theory baselines,matching requirements, residual observables, controls, preregistration rules, and failure conditions. Theconsciousness–gravity gravimetry proposal remains a separate companion test and is not duplicatedhere. The result is a disciplined experimental program: existing physics calibrates recoverability, whilematched-operational-history residuals test whether recoverable continuity has an independent physicalrole.