# Quantum Real numbers and Measurement

## TL;DR

This paper introduces a quantum real number framework that addresses the measurement problem by assigning qr-number values to microscopic systems, enabling continuous tracking and linking these to classical records during measurement.

## Contribution

It proposes a novel quantum real number approach that eliminates the measurement problem and connects microscopic attributes to classical measurement outcomes.

## Key findings

- Measurement problem does not arise in qr-number approach
- Microscopic systems have continuous qr-number attributes
- Measurement process links qr-number values to classical records

## Abstract

The quantum mechanical measurement problem does not arise in the quantum real number approach to quantum measurements of the first kind. The attributes of individual microscopic systems in the experimental ensemble always have qr-number values so the individual systems can be followed throughout the process. The interaction with an apparatus connects the qr-number value of the quantity to be measured with the qr-number value of an attribute of the apparatus that can be locally approximated by a classical number and subsequently amplified to a recordable output.