A cosmological model for the Minkowski Vacua

We argue that the Minkowski vacua of the Planck and MAC models can be modified in the vacuum geometry to the Schwarzschild analogue. We present a cosmological model in order to study the vacuum state of the Planck and MAC models. The model is a macroscopically flat model which can be realized as a black hole in the presence of a gravitational field. The black hole can be made to collapse to a vacuum state in the presence of a gravitational field. The vacuum state of the Schwarzschild model is the self-interacting graviton, which can be systematically investigated. The cosmological models are created on a space-like manifold with a non-vanishing $U(1)$ gauge group. We also show that the Minkowski vacua of the MAC models are compatible with the Schwarzschild analogue. The results obtained in this paper can be used to determine the Hawking temperature of black holes.