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Related Experiment Video

Updated: Oct 9, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Published on: May 30, 2014

A Smooth Path between the Classical Realm and the Quantum Realm.

John R Klauder¹

¹Department of Physics and Department of Mathematics, University of Florida, Gainesville, FL 32611-8440, USA.

Entropy (Basel, Switzerland)

|December 24, 2021

Summary

This summary is machine-generated.

This study explores natural quantization procedures to bridge classical physics (p, q) and quantum physics (P, Q). It ensures a physical connection between classical variables and their quantum counterparts, extending to fields and gravity.

Keywords:

affine quantization field theory and gravity unification of the classical and quantum realms

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Last Updated: Oct 9, 2025

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Area of Science:

Theoretical Physics
Quantum Mechanics
Classical Mechanics

Background:

Classical physics (p, q) and quantum physics (P, Q) are currently understood as disconnected realms.
Quantization procedures aim to link classical phenomena to their quantum equivalents.

Purpose of the Study:

To introduce specific, natural quantization procedures.
To ensure a proper physical connection between classical variables and their associated quantum operators.
To extend these procedures to fields and gravity.

Main Methods:

Review of existing quantization techniques.
Development of novel, natural quantization procedures.
Application of procedures to classical variables (p, q) and operators (P, Q).

Main Results:

Identification of specific procedures that guarantee a physical link between classical and quantum variables.
Demonstration of parallel procedures for fields and gravity.

Conclusions:

The proposed methods establish a robust physical connection between classical and quantum regimes.
These procedures offer a unified approach to quantization across different areas of physics.