# Physics and mathematical reality: comments on Aharonov et al, arXiv:1902.08798

## TL;DR

This paper discusses the philosophical relationship between physical and mathematical realities, critiques recent quantum paradoxes, and proposes that physics fundamentally is the language of mathematics, with time as a manifestation of mathematical reality.

## Contribution

It offers a philosophical perspective on the nature of reality, critiques quantum paradoxes, and suggests that physics is essentially a mathematical language where time reflects mathematical reality.

## Key findings

- Paradoxes can arise from logical artifacts in mathematics.
- Quantum and relativity revolutions challenge traditional notions of physical reality.
- Time's reality is rejected and reinterpreted as a manifestation of mathematical structures.

## Abstract

Do we have two kinds of reality: physical and mathematical? What is the role of mathematics in physics? These fundamental questions have intrigued original and brilliant minds since ancient times. A recent article (Aharonov, Cohen and Oaknin, arXiv:1902.08798) offers a viewpoint on the use of abstract mathematics in quantum theory. They argue that, in some cases, it may result into a paradox focusing on an example in quantum mechanics regarding Aharonov-Bergmann-Lebowitz (ABL) rule. In this comment we discuss three issues: theory reduction and approximation, origin of a paradox, and the reality of time. It is pointed out that paradoxes appear even in mathematics; we explain them as the results of the acceptance of pure logical artifacts. In physics too, the impact of the so called quantum and relativity revolutions, have led to the emergence of counter-intuitive and mysterious notion of the physical reality. The most fundamental change has been on rejecting the reality of time. A radically new perspective that physics is the language of mathematics is suggested. The mathematical reality of the natural numbers manifests in the form of physical time.