This supplement clarifies the roles of time, space, and the speed of light within physical descriptions that admit irreversible ordering. Rather than proposing new dynamics or reinterpretations of existing theory, the paper identifies structural constraints that must obtain for temporal and spatial concepts to be meaningful at all.
\nTime is treated as durable ordering arising from irreversible distinction, while space is shown to emerge as enforced separation among such ordered events. A finite, invariant propagation bound is argued to be a consistency requirement that preserves locality once irreversible records exist, with the speed of light (c) appearing as the physical expression of this bound rather than as a property of light itself.
\nThe analysis is framework-agnostic in scope and is intended to be compatible with any approach that treats irreversibility as physically meaningful. The work delineates conditions of applicability and explicit falsification paths, focusing on necessity rather than mechanism.
\nThis supplement is intended as a structural clarification and may serve as a conceptual reference for related work addressing time, locality, irreversibility, or the foundations of spacetime description.
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