Topology change in quantum gravity and Ricci flows

The topology change in quantum gravity is modeled by a Ricci flow. In this approach we offer to consider the Ricci flow as a statistical system. The metric in the Ricci flow enumerated by a parameter $λ$ is a microscopical statistical state. The probability of every microscopical state is determined by the parameter $λ$. Numerically the Ricci flow starting from a static wormhole filled with a phantom Sine-Gordon scalar field is investigated.

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