Clocks And Dynamics In Quantum Mechanics

TL;DR

This paper explores the foundational role of perception of time and observation in quantum mechanics, proposing a new mechanism for evolution based on data availability and entanglement, challenging traditional time-dependent equations.

Contribution

It introduces a novel approach where quantum evolution is driven by data availability and entanglement, rather than traditional equations of motion, and reinterprets time as emerging from measurement processes.

Findings

Quantum uncertainty arises from finite observational data.

Time emerges from observing changing data, not as an independent parameter.

Quantum evolution is linked to the availability of states and entanglement.

Abstract

We argue that (1) our perception of time through change and (2) the gap between reality and our observation of it are at the heart of both quantum mechanics and the dynamical mechanism of physical systems. We suggest that the origin of quantum uncertainty lies with the absence of infinities or infinitesimals in observational data and that our concept of time derives from observing changing data (events). We argue that the fundamentally important content of the Superposition Principle is not the "probability amplitude" of posterior state observation but future state availability conditional only on prior information. Since event detection also implies posterior conditions (e.g. a specific type of detectable event occurred) as well as prior conditions, the probabilities of detected outcomes are also conditional on properties of the posterior properties of the observation. Such posterior conditions cannot affect the prior state availabilities and this implies violation of counter-factual definiteness. A component of a quantum system may be chosen to represent a clock and changes in other components can then be expected to be correlated with clocks with which they are entangled. Instead of traditional time-dependent equations of motion we provide a specific mechanism whereby evolution of data is instead quasi-causally related to the relative \availability\ of states and equations of motion are expressed in terms of quantized clock variables. We also suggest that time-reversal symmetry-breaking in weak interactions is an artifice of a conventional choice of co-ordinate time-function. Analysis of a "free" particle suggests that conventional co-ordinate space-time emerges from how we measure the separation of objects and events.