Time and classical and quantum mechanics: Indeterminacy vs. discontinuity

TL;DR

This paper explores the fundamental indeterminacy in the nature of time and physical processes, proposing that the lack of precise static instants enables continuity and resolves classical and quantum paradoxes.

Contribution

It introduces a novel perspective on time's nature, linking indeterminacy to the continuity of physical processes and addressing longstanding paradoxes in physics.

Findings

Time indeterminacy allows for physical process continuity.

Resolves Zeno's paradoxes through indeterminacy.

Discusses implications for quantum cosmology and imaginary time.

Abstract

It is postulated there is not a precise static instant in time underlying a dynamical physical process at which the relative position of a body in relative motion or a specific physical magnitude would theoretically be precisely determined. It is concluded it is exactly because of this that time (relative interval as indicated by a clock) and the continuity of a physical process is possible, with there being a necessary trade off of all precisely determined physical values at a time, for their continuity through time. This explanation is also shown to be the correct solution to the motion and infinity paradoxes, excluding the Stadium, originally conceived by the ancient Greek mathematician Zeno of Elea. Quantum Cosmology, Imaginary Time and Chronons are also then discussed, with the latter two appearing to be superseded on a theoretical basis.