Quantum Gravity by the Complex Canonical Formulation
Hideo Kodama
TL;DR
This paper reviews the complex canonical formulation of general relativity and discusses recent advances in quantum gravity, proposing a new approach to the Hamiltonian constraint and quantum states to address existing issues.
Contribution
It introduces a novel formulation of the Hamiltonian constraint and quantum states in the canonical quantum gravity framework, challenging traditional methods.
Findings
Critiques the conventional Hamiltonian constraint treatment
Proposes a new formulation for quantum states in canonical quantum gravity
Reviews recent developments in complex canonical quantum gravity
Abstract
The basic features of the complex canonical formulation of general relativity and the recent developments in the quantum gravity program based on it are reviewed. The exposition is intended to be complementary to the review articles available already and some original arguments are included. In particular the conventional treatment of the Hamiltonian constraint and quantum states in the canonical approach to quantum gravity is criticized and a new formulation is proposed.
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