Abstract

Loop Quantum Gravity is widely developed using canonical quantization in an effort to find the correct quantization for gravity. Affine quantization, which is like canonical quantization augmented bounded in one orientation, e.g., a strictly positive coordinate. We open discussion using canonical and affine quantizations for two simple problems so each procedure can be understood. That analysis opens a modest treatment of quantum gravity gleaned from some typical features that exhibit the profound differences between aspects of seeking the quantum treatment of Einstein's gravity.

Highlights

  • We begin with two different quantization procedures, and two simple, but distinct, problems one of which is successful and the other one is a failure using both of the quantization procedures.This exercise serves as a prelude to a valid and straightforward quantization of gravity.1.1

  • Loop Quantum Gravity is widely developed using canonical quantization in an effort to find the correct quantization for gravity

  • Affine quantization, which is like canonical quantization augmented and bounded in one orientation, e.g., a strictly positive coordinate

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Summary

Introduction

We begin with two different quantization procedures, and two simple, but distinct, problems one of which is successful and the other one is a failure using both of the quantization procedures. This exercise serves as a prelude to a valid and straightforward quantization of gravity

Choosing a Canonical Quantization
First Canonical Example
Second Canonical Example
First Affine Example
Second Affine Example
Lessons from Canonical and Affine Quantization Procedures
The Initial Paragraph from Wikipedia’s “Loop Quantum Gravity”
The Author’s View of Selected Properties of Loop Quantum Gravity
Favored Variables for Affine Quantization
Affine Coherent States for Quantum Gravity
The Semi-Classical Gravity Expression
Schrödinger’s Representation and Equation
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