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Published work and public discussion remain accessible to everyone.
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On the standard mathematical treatment, convergence resolves Zeno’s dichotomy as a problem about completing an indefinitely subdivided continuous trajectory in finite time: no final halfway stage is required. This paper isolates a further physical question: does the arbitrary divisibility of a successful continuum representation imply corresponding divisibility of the physical history represented? It distinguishes descriptive divisibility from physical divisibility and uses representational surplus for interpolating structure in an effective description that need not correspond one-to-one with fundamental physical stages. The Finite Constitution Hypothesis proposes that every physically realised causal interval contains only finitely many fundamental events, while elementary succession occurs when no event lies causally between two related events. A Zeno Reconstruction Test introduces ontological saturation under nested refinements. The proposal is not presented as established physics, but as a framework for separating continuum representation from physical constitution.
hypothesisContinuity Substrate Theory (CST) is a deliberately speculative framework for asking whether personal consciousness could depend on physical organization that is not exhausted by ordinary neural processes. It separates four progressively stronger claims: neural non-exhaustiveness, person-specific continuity, neural independence, and post-biological consciousness. Only the fourth is a survival hypothesis, and no present evidence establishes it. CST treats a person as a causally continuous, evolving process rather than a static information pattern and provisionally locates any additional continuity-bearing organization within ordinary physical reality rather than in an alternate dimension, collective mind, or supernatural domain. The framework is designed to generate empirical pressure through brain injury, anesthesia, paradoxical lucidity, cardiac-arrest studies, information-bearing residual signals, and reproducible person-specific effects. The relevant substrate, if any, has not been identified, and memory, energy exchange, perception, boundaries, and subjective time remain unresolved.