Reply to a "Comment on 'Physics without determinism: Alternative interpretations of classical physics' "

TL;DR

This paper defends a model of indeterministic physics based on finite information quantities (FIQs) against criticisms, clarifying its validity and proposing a more refined definition inspired by intuitionistic mathematics.

Contribution

It clarifies the validity of the FIQ-based indeterministic physics model and suggests a more sophisticated FIQ definition to address previous criticisms.

Findings

The main FIQ concept remains valid for indeterministic models.

Criticisms apply only to specific examples, not the entire model.

Proposes a new FIQ definition inspired by intuitionistic mathematics.

Abstract

In this short note we reply to a comment by Callegaro et al. [1] (arXiv:2009.11709) that points out some weakness of the model of indeterministic physics that we proposed in Ref. [2] (Physical Review A, 100(6), p.062107), based on what we named "finite information quantities" (FIQs). While we acknowledge the merit of their criticism, we maintain that it applies only to a concrete example that we discussed in [2], whereas the main concept of FIQ remains valid and suitable for describing indeterministic physical models. We hint at a more sophisticated way to define FIQs which, taking inspiration from intuitionistic mathematics, would allow to overcome the criticisms in [1].