Consciousness as Admissible Continuation Under Constraint

Foundational analysis of consciousness as admissible continuation under constraint. This manuscript presents a structural, domain-independent account of consciousness grounded in the logic of admissibility rather than representation, computation, or substance. Consciousness is formalized as the capacity of a system to continue coherently under constraint, preserving internal differentiation while remaining compatible with boundary conditions imposed by its environment. The work identifies three co-required morphological conditions for any system capable of persistence, cognition, or experiential continuity: Persistence — the ability to maintain identity across transformation, Admissibility — compatibility between closure and leakage under constraint, Differentiated Continuation — non-arbitrary internal variation without collapse. These conditions are shown to be logically prior to physical law, biological implementation, or cognitive architecture, and therefore apply uniformly across physical, biological, and informational domains. The manuscript introduces χ-morphology and associated diagnostic operators for identifying admissible regimes, collapse risk, and phase transitions in constrained systems. Consciousness is not treated as an emergent epiphenomenon, nor as a computational artifact, but as a structural consequence of admissible continuation. Loss of consciousness corresponds to loss of admissibility, not loss of information. Importantly, the framework separates unassailable logical preconditions from empirically testable instantiations, allowing the theory to remain foundational while generating concrete predictions in neuroscience, physics, and artificial systems. This work is intended as a foundational structural contribution. It does not replace domain-specific theories of consciousness, physics, or biology, but formalizes the conditions under which such theories can meaningfully apply. Companion papers may explore empirical realizations and applications. Keywords Core / Foundational admissible existence admissible continuation persistence structural ontology constraint-based systems collapse risk χ-morphology Consciousness & Cognition consciousness theory non-representational cognition continuity of awareness loss of consciousness phase transition models of mind boundary-conditioned cognition Physics & Foundations boundary conditions constrained dynamics collapse phenomena non-equilibrium systems structural realism pre-dynamical constraints Biology & Neuroscience biological stability homeostasis under constraint neural admissibility failure modes of cognition structural limits of perception Artificial Systems & AI artificial general intelligence admissible computation stability of intelligent systems constraint-aware architectures collapse in adaptive systems