When Relational Explanation Stops Time, Consciousness, and the Boundary Between Operational Structure and Ontology

Abstract

When Relational Explanation Stops: Time, Consciousness, and the Boundary Between Operational Structure and Ontology examines a recurring problem in foundational inquiry: the point at which a successful operational reconstruction no longer justifies an ontological conclusion. The paper develops an adversarial framework for identifying this boundary. It introduces the concept of an identifiability boundary, reached when available operational structures remain compatible with multiple interpretations of the target phenomenon and proposed extensions either fail to discriminate between them or reintroduce the target concept into the test itself. At such a boundary, the paper argues for ontological suspension: operational success alone warrants neither a realist identification, a deflationary dissolution of the remaining question, nor a claim of principled unknowability. The framework is applied comparatively to two traditionally separate problems. For time, the analysis reconstructs a sequence from interaction-defined effective distinctions through asymmetry of admissible processes, additive process valuations, and cross-process synchronizability. These structures can support a common relative metric without assuming a privileged clock. However, the resulting synchronizable process metric does not by itself establish an ontological identity with physical time. This yields a Temporal Identifiability Dilemma between timing-insensitive tests that may fail to identify duration and timing-sensitive tests that already presuppose temporal structure. For consciousness, the same adversarial procedure reaches its boundary earlier. Memory, recursion, adaptive control, self-modeling, and self-inference can all be instantiated in systems without independently establishing phenomenal consciousness. The resulting controller underdetermination test therefore separates functional reconstruction from any further bridge to subjectivity. The paper does not propose a unified theory of time and consciousness. Its central contribution is methodological: it offers a stopping rule for foundational research when continued theoretical refinement ceases to add independent discriminatory information and begins instead to rename or presuppose the phenomenon to be explained. The paper also proposes a non-exhaustive map of four recurrent outcomes of foundational inquiry: reduction or identity, emergent structural identification, deflationary dissolution, and residual underdetermination.