# Model of the Physical Space from Quantum Mechanics

## TL;DR

This paper proposes a quantum-based model of physical space, viewing it as a configuration space derived from non-relativistic quantum mechanics, which reduces to classical space in the classical limit via symmetry contraction.

## Contribution

It introduces a quantum model of physical space based on symmetry representation, bridging quantum and classical descriptions of space as a contraction limit.

## Key findings

- Quantum physical space as a configuration space for particles
- Reduction to classical space in the classical limit
- Symmetry contraction links quantum and classical models

## Abstract

The physical world is quantum. However, our description of the quantum physics still relies much on concepts in classical physics and in some cases with `quantized' interpretations. The most important case example is that of spacetime. We examine the picture of the physical space as described by simple, so-called non-relativisitic, quantum mechanics instead of assuming the Newtonian model. The key perspective is that of (relativity) symmetry representation, and the idea that the physical space is to be identified as the configuration space for a free particle. Parallel to the case of the phase space, we have a model of the quantum physical space which reduces to the Newtonian classical model under the classical limit. The latter is to be obtained as a contraction limit of the relativity symmetry.