Abstract

Causality follows the thermodynamic arrow of time, where the latter is defined by the direction of entropy increase. After a brief review of an earlier version of this article, rooted in classical mechanics, we give a quantum generalization of the results. The quantum proofs are limited to a gas of Gaussian wave packets.

Highlights

  • Schulman [4] uses this as a conceptual way to eliminate “initial conditions” prejudice from Gold’s [5] rationale for the arrow of time and Wheeler [6,7]

  • There are many defects to this quantum version of entropy increase determining the direction of causality

  • What is not clear is whether a quantum theory is at all needed

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Summary

Introduction

This formalism has allowed me to come to a conclusion: effect follows cause in the direction of entropy increase. This result is not unanticipated; most likely everything having to do with arrows of time has been anticipated. The present work extends it to quantum mechanics. Since the previous paper was buried in conference proceedings, and the present work uses similar arguments, I will repeat some parts of that proof. Our argument depends on two conditions: the nature of perturbation and two-time boundary conditions.

Perturbation
Review of Previous Work
Quantum Version
Classical Proof
Conclusions
Full Text
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