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We develop a general framework for fundamental physics in which spacetime geometry, gauge structure, and effective field dynamics arise from admissible continuation of pre-geometric configurations, rather than from dynamical evolution on a fixed background. In this class of generative frameworks, physical configurations are constructed iteratively under structural feasibility constraints, without assuming a priori spacetime or temporal ordering. External degrees of freedom—spacetime geometry, causal structure, and propagating fields—emerge through coarse-graining over ensembles of admissible continuation histories. Smooth continuum fields appear as stable limits of this process, and their governing equations arise as compatibility conditions required for coherent continuation. In particular, we show that admissible continuum equations must possess hyperbolic principal symbols, ensuring finite propagation domains for local perturbations. Internal degrees of freedom encode closure data transported along continuation paths, giving rise to gauge structures. Abelian sectors permit unsuppressed long-range transport, while for non-Abelian closure algebras we establish a general buffer saturation mechanism: finite interface capacity together with noncommutativity enforces confinement and implies a mass gap as structural consequences of admissibility. Gravity lies outside the gauge universality class and instead encodes global feasibility conditions governing the persistence of extended spacetime configurations. In four dimensions the unique leading-order continuum feasibility functional compatible with admissibility is the Einstein–Hilbert functional, yielding Einstein’s field equations as stationarity conditions of structural consistency. The Real-Now-Front (RNF) construction provides a concrete realization of this framework, but the results derived here depend only on general admissibility principles and therefore apply broadly across generative physical models.