The degree of freedom of a singularity is either zero or infinite when it is embedded in a spherically symmetric continuous, homogeneous, and isotropic generalized vacuum field. For a black hole, this generalized vacuum field becomes particularly the gravitational field generated by the presence of energy-momentum tensors in a bounded region of space-time.
If all these tensors are oriented toward the center of the sphere then the degree of freedom is determined to be zero. Consequently, the formation of a black hole is unavoidable. However, if all of these tensors are pointing away from the center then the degrees of freedom is infinite as in an expanding volume of space-time.
Both of these configurations presupposed time asymmetry, into the past or toward the future. In order to restore time symmetry, the quantum uncertainty in the form of conjugate variables for time and energy must be square integrable such that the square of energy is time independence.


LinkBack URL
About LinkBacks
Reply With Quote


