# The thermodynamical cost of some interpretations of quantum theory. Reply to Prunkl and Timpson, and Davidsson

## TL;DR

This paper defends the original claim that certain interpretations of quantum theory, which assign objective properties and assume finite memory, entail a thermodynamical cost, by addressing criticisms and clarifying misunderstandings.

## Contribution

It clarifies the assumptions and counters criticisms of the previous work on the thermodynamical cost of specific quantum interpretations, reaffirming their inherent thermodynamic expense.

## Key findings

- Counterarguments to Prunkl and Timpson's challenge are addressed.
- The original conclusion about thermodynamical costs remains valid.
- Misunderstandings in previous criticisms are clarified.

## Abstract

Here we clarify the assumptions made and conclusions reached in our paper "The thermodynamical cost of some interpretations of quantum theory" [Phys. Rev. A 94, 052127 (2016)], at the light of the criticisms of Prunkl and Timpson [Stud. Hist. Philos. Sci. Part B 63, 114 (2018)], and Davidsson (Master thesis, Stockholm University, 2018). We point out some misunderstandings and some weaknesses of the counterexample Prunkl and Timpson present to challenge our conclusion. We thus conclude, once more, that interpretations of quantum theory which consider the probabilities of measurement outcomes to be determined by objective properties of the measured system and satisfy the assumption that the measured system only has finite memory have a thermodynamical cost.