Quantum Einstein's Equations and Constraints Algebra
Fatimah Shojai, Ali Shojai

TL;DR
This paper investigates the closure of quantum gravity constraints algebra and derives quantum Einstein's equations within the de-Broglie--Bohm framework, showing the algebra is weakly closed.
Contribution
It provides a novel analysis of quantum Einstein's equations and constraint algebra closure using the de-Broglie--Bohm quantum theory approach.
Findings
Constraint algebra is weakly closed in the quantum regime.
Quantum Einstein's equations are explicitly derived.
Framework offers new insights into quantum gravity constraints.
Abstract
In this paper we shall address this problem: Is quantum gravity constraints algebra closed and what are the quantum Einstein equations. We shall investigate this problem in the de-Broglie--Bohm quantum theory framework. It is shown that the constraint algebra is weakly closed and the quantum Einstein's equations are derived.
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