Bekenstein-Bounded Regulation as a Common Origin of Quantum and Gravitational Dynamics

We propose a falsifiable derivation framework in which quantum mechanics and gravitationemerge as effective responses to a single, capacity-bounded dynamical constraint. The centralhypothesis is simple: any physical region contains informational structure whose growth islimited by a maximal geometric capacity, operationally approximated by the Bekensteinbound. When this saturation increases, the system regulates it through one of two distinctmodes: continuous capacity expansion or discrete content reduction.The framework is highly constrained and readily falsifiable. Failure of the predictedsaturation-dependent collapse threshold in matter-wave interferometry, failure of the predictedmodified coupling in regimes of strong gravity, or failure of the predicted informationalcorrections to black-hole evaporation would each directly invalidate the program. Theframework does not introduce new particles, new fundamental fields, dark energy, or darkmatter as separate entities; the dynamics emerges from a single capacity-regulation principleapplied to the field content already established.From this principle, we develop two explicit derivation chains. In the first, fluctuationsof the saturation field are shown to obey an informational Klein-Gordon equation derivedfrom a Landau-Ginzburg-type Lagrangian; its non-relativistic limit recovers the Schrödingerequation, while nonlinear saturation terms produce objective-collapse-like behavior in thehigh-saturation regime. In the second, the mean saturation field enters an informational extensionof Jacobson’s thermodynamic construction, yielding an effective Einstein-like equationin which the standard cosmological constant is decomposed into a dynamical expansioncontribution and an observational screening contribution rather than recovered as a singlegeometric term.The framework is presented explicitly as a derivation program: each mathematical stepis identified as rigorous, phenomenological, or conjectural. In the dilute limit, standardquantum mechanics and general relativity are recovered. In the high-saturation regime, theframework predicts deviations in three independent observational sectors: collapse thresholdsin macroscopic interferometry, environmental corrections to black-hole evaporation, and aspecific functional form for cosmological distance modulus residuals. The program’s interestlies not in introducing additional entities, but in replacing several disconnected anomalieswith a single capacity-regulation principle whose mathematical consequences are explicit andtestable.