Wheeler-De Witt equation ....

[eljose79]

Could we construct using dirac,s method a wheeler -De witt equation to first order in derivatives and including the time?..in fact it would be easy just propose an equation like this

(A0d/dt+A1d/dx+...+A3d/dz)F=0

where obviously A0**2=0 (Grassman num ber) why has nobody tried to do so?..in fact this new equation could solve the problem of time in quantum gravity.

[jeff]

The wheeler-De witt equation is a schrodinger rather than a dirac equation because the wave-function whose evolution it describes is that of the 3-metric which isn't a dirac field.

What did you mean about solving the problem of time?

[eljose79]

The gravitation would be represented by the graviton wich is a 2-spin field so in fact i think it should be represented by a 2 spin field

The problem of time is due to the derivative d/dt does not appear in the thoery .in fact i think it could be solved by imposing the wave function of the metric to be lineal in derivatives.