# Heisenberg Quantization in Physical Space Based on Established Experiments

## TL;DR

This paper extends Heisenberg quantization from empty space to physical space, demonstrating noncommutative space, a minimal length scale, and a link between space properties and system motion based on experimental data.

## Contribution

It introduces a generalized Heisenberg quantization in physical space, revealing noncommutative geometry and a minimal volume, grounded in established experiments.

## Key findings

- Physical space is noncommutative.
- Existence of a non-zero minimal length scale.
- Space non-commutativity correlates with system momentum.

## Abstract

It is clarified that Heisenberg quantization was proposed in empty space. Based on established experiments, the generalized Heisenberg quantization in physical space is obtained. Physical space quantization includes important new physics: Proving that physical space is noncommutative space; Exploring the existence of a non-zero minimal length scale, which leads to new space structures and the existence of the space minimal finite volume; Finding a new correlativity of the property of space with the motion status of the system: space non-commutativity is determined by the momentum non-commutativity.