Wheeler-dewitt Equation

In theoretical physics, the Wheeler-deWitt equation is an equation that a wave function of the Universe should satisfy in a theory of quantum gravity. An example of such a wave function is the Hartle-Hawking state. Simply speaking, the WDW equation says
H |\psi\rangle = 0
where H is the total Hamiltonian constraint in quantized general relativity. In general the Hamiltonian vanishes for a theory with time scaling invariance. There is also a diffeomorphism constraint.

 

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