WHEELER DEWITT EQUATION PDF!
One can find in the literature the opinion that the Wheeler -- DeWitt equation is even more fundamental than the basic equation of quantum. I have been studying canonical gravity theories lately and I have encountered the Wheeler-Dewitt equation.Â I was wondering if anyone here. In quantum theory, however, if the gravitational field equations are quantized according to the standard canonical rule, namely πmn = −i¯hδ/δgmn, the resulting Wheeler-DeWitt equation [2, 3] leads to a dilemma known as “the problem of time.”.
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|Published:||3 January 2014|
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Shestakova Submitted on 4 Jan Abstract: The deformation of the Wheeler—DeWitt equation gives rise to a Cosmological Constant even in absence of matter fields.
Wheeler dewitt equation equation does not contain any parameter that is equivalent to our classical notion of time. In the Wheeler-DeWitt formulation, spacetime does not exist in any classical sense and particles do not have traditional trajectories in spacetime, just as particles do not have traditional trajectories in ordinary quantum mechanics.
Contrary to the general case, the Wheeler—DeWitt equation is well defined in minisuperspaces like the configuration wheeler dewitt equation of cosmological theories.
Quantization "puts hats" on the momenta and field variables; that is, the functions of numbers in the classical case become operators that modify the state function in the quantum case.
Thus we obtain the operator Working in "position space", these operators are One can apply the operator to a general wheeler dewitt equation functional of the metric where: Which would give a set of constraints amongst the coefficients. Which means the amplitudes for N gravitons at certain positions is related to the amplitudes for a different number of gravitons at different positions.
Or one could use the two field formalism treating as an independent field so the wave function is Derivation from path integral The Wheeler—DeWitt equation can be derived from a path integral using the gravitational action in the Euclidean quantum gravity paradigm: Because the concept of a universal time coordinate seems unphysical, and at odds with wheeler dewitt equation principles of general relativitythe action is evaluated around a 3-metric which we take as the boundary of the classes of four-metrics and on which a certain configuration of matter fields exists.
This latter might for example be the current configuration of matter in our universe as we observe it today. But Wheeler dewitt equation want to really understand what that means.
What sorts of realistic changes would see in a universe where the Hamiltonian Constraint was non-zero?