Foundational Boundaries in Physics: Collapse, Singularity, and Time as Constraint Failures

This paper presents a unified structural framework for understanding several unresolved problems in modern physics, including the quantum measurement problem, spacetime singularities, the origin of time, dark matter, dark energy, and the challenge of quantum gravity. Rather than introducing new particles, forces, or interpretations, the work identifies a common mathematical pattern underlying these phenomena: the breakdown of continuous theoretical description when non-negotiable admissibility constraints are violated. By formalizing collapse, singularity, temporal breakdown, and dark phenomena as boundary effects of constrained continuity, the framework provides a domain-agnostic diagnostic of foundational limits in physics. The results clarify where existing theories remain valid, where they fail, and why attempts at extension often generate paradoxes. The work is structural rather than constructive, preserves established theories within their domains, and proposes empirically falsifiable commitments tied to proximity to admissibility boundaries.