Admissibility-First Generation of Space, Time, and Dynamics

This paper introduces an admissibility-first framework for the generation of space, time, and physical dynamics. Rather than assuming spacetime, causality, or dynamical laws as primitives, the work identifies admissible continuation under constraint as the necessary and sufficient precondition for physical existence. The central contribution is a formal reordering of foundations: constraints precede transitions, and transitions precede spacetime dynamics. Within this ordering, space and time emerge as structural consequences of bounded admissibility rather than as background manifolds. A dimensionless diagnostic invariant (χ) is defined to quantify persistence across perturbations without invoking new physical constants or modifying established dynamics. The framework is explicitly non-ontological and non-speculative. It does not posit new forces, particles, or fields. Instead, it provides a descriptive, testable grammar for determining when systems; physical, biological, computational, or informational, can persist in a non-arbitrary way. Empirical anchors are discussed across multiple domains (atomic structure, acoustics, plasma behavior, and biological regulation), demonstrating that admissibility constraints recur independently of substrate. The paper is intended as a foundational contribution to theoretical physics and systems science, offering a unifying diagnostic layer compatible with General Relativity and Quantum Field Theory. Keywords by Domain Foundations of Physics admissibility persistence under constraint pre-spacetime structure foundational ordering physical consistency Theoretical Physics spacetime emergence constraint-based physics generative dynamics non-ontological frameworks invariants Mathematics / Systems Theory constraint geometry bounded phase spaces continuation criteria minimal sufficiency Complex Systems stability diagnostics perturbation tolerance cross-domain invariants system persistence Philosophy of Science (Technical) non-arbitrary existence structural realism theory minimalism