Conscious simultaneity with continuous motion: a measure-theoretic resolution of the hard problem.

The hard problem of consciousness—explaining how subjective experience arises from physical processes—stems from the same logical paradox that makes quantum and classical physics incompatible: the measure-theoretic limit. Continuous time requires point-equivalent instants of zero duration, which cannot exist ontologically, making it impossible to explain state transitions within continuous time without approximations. Consciousness functions as an ontological workaround for problems related to temporally extended information in continuous time, including sensory qualia.

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Abstract

This paper addresses the problem of integrating phenomenal consciousness with physical laws by seeking to identify and define its function. The central claim is that the hard problem is caused by the same epistemic paradox that makes quantum and classical physics mutually incompatible: the measure-theoretic limit. It is logically impossible to explain the mechanism by which state transitions occur within continuous time except by using approximations, because the mathematics requires point-equivalent instants of zero duration, which cannot exist ontologically when time is continuous. Classical and quantum physics use mutually incompatible frameworks to model causality and overcome this dt→0 limit. It is argued here that consciousness functions as an ontological workaround for this and all problems related to temporally extended information in continuous time, including sensory qualia. The temporal uncertainty principle (TUP) defines consciousness as a superposition of two contradictory temporal perspectives, synchronous and diachronic, within a single "now". These perspectives interact recursively to reduce uncertainty to a point where further reduction is logically and physically impossible. This mechanism prevents computational paralysis when the system confronts unresolvable causal boundaries, and enables the generation of novel concepts and adaptive behaviours. The bi-directional electromagnetic model (BIDEM) postulates how the brain can achieve this mechanism within a general resonance theory (GRT) framework. By demonstrating how phase-amplitude coupling integrates two dimensionally orthogonal substrates, BIDEM enables diachronic information to act within simultaneously experienced instants. The model yields testable predictions for cross-frequency EM interactions and introduces a "simultaneity barrier" as the basis for an objective Turing test of artificial consciousness.