Wheeler-De Witt equation

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In summary, the conversation discusses the possibility of constructing a Wheeler-De Witt equation using Dirac's method that includes time and first-order derivatives. The equation proposed is (A0d/dt+A1d/dx+...+A3d/dz)F=0, where A0**2=0 and the graviton is represented by a 2-spin field. This equation could potentially solve the problem of time in quantum gravity and the reason it is a Schrodinger equation instead of a Dirac equation is due to the wave-function describing the 3-metric. The problem of time could be solved by imposing the wave function of the metric to be linear in derivatives.
  • #1
eljose79
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Wheeler-De Witt equation ...

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.
 
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  • #2


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?
 
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  • #3
Yes but..

The gravitation would be represented by the graviton which 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 theory .in fact i think it could be solved by imposing the wave function of the metric to be lineal in derivatives.
 

1. What is the Wheeler-DeWitt equation and what does it describe?

The Wheeler-DeWitt equation is a fundamental equation in the field of quantum gravity. It is a mathematical equation that describes the evolution of the wave function of the entire universe, including all matter and energy, without the need for an external time parameter.

2. Who developed the Wheeler-DeWitt equation?

The Wheeler-DeWitt equation was developed independently by American physicists John Archibald Wheeler and Bryce DeWitt in the late 1960s.

3. How is the Wheeler-DeWitt equation different from other equations in physics?

The Wheeler-DeWitt equation is unique in that it does not contain a time parameter, unlike other equations in physics which describe the evolution of a system over time. This makes it a key equation in the study of quantum gravity and the nature of time in the universe.

4. What are the implications of the Wheeler-DeWitt equation?

The Wheeler-DeWitt equation has important implications for our understanding of the nature of time, space, and the universe as a whole. It suggests that the universe has no beginning or end and that time may be a purely human construct rather than a fundamental aspect of reality.

5. What are some current research and developments related to the Wheeler-DeWitt equation?

Scientists are currently using the Wheeler-DeWitt equation to develop theories of quantum gravity and to better understand the early stages of the universe. Some researchers are also exploring the possibility of applying the equation to other fields, such as condensed matter physics, in order to gain new insights into complex systems.

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