The Conceptual Import of Physical Time: Insulation Failure and the Deepest Non-Minimal Assumption in Physics

Abstract

Every major framework in physics imports physical time as a pre-theoretical assumption. This import is more consequential than the well-recognised import of the mathematical continuum, because it precedes and enables it: if time flows continuously, the mathematics describing physical change must be capable of representing continuous temporal variation, and the entire apparatus of real analysis, differential geometry, and smooth manifolds follows. The Axiomatic Imperative — the requirement that a fundamental physical theory be derived from a minimal axiom set without importing assumptions not derivable from that set — applies to conceptual primitives no less than to mathematical ones. Applied to physical time, it yields a result stronger than any yet established in the existing literature on the problem of time: not that time must be derived from something more fundamental, but that the very question 'what is time?' is the wrong question for a fundamental theory to ask, because asking it already presupposes that time is the kind of thing that needs to be physically accounted for. Within the framework of Quantum-Geometry Dynamics (QGD) and the Minimally Physically Derivable Theories (MPDT) programme, physical time is not derived as a surprising result — it is excluded by the minimality requirement before the theory is built. What replaces it is causal succession: the unique determination of successor states by prior states under the two QGD axioms. The paper argues that this replacement is not a notational variant of physical time but a conceptually distinct and more fundamental structure, and that every existing approach to the problem of time — from Barbour's timeless physics to Rovelli's thermal time to Maudlin's primitive passage — fails the Axiomatic Imperative at the conceptual level, each importing physical time through a different back door.