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Stochastic Ricci Flow dynamics of the gravitationally induced wave-function collapse
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In order to reconcile the wave-function collapse in quantum mechanics with the finiteness of signals' propagation in general relativity, we delve into a stochastic version of the Ricci flow and study its non-relativistic limit in presence of matter. We hence derive the Di\'osi-Penrose collapse model for the wave-function of a quantum gas. The procedure entails additional parameters with respect to phenomenological models hitherto accounted for, including the temperature of the gas and the cosmological constant, in turn related to the stochastic gravitational noise responsible for the collapse.
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Cited by 2 Pith papers
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Noise-induced stabilization of Schwarzschild--AdS black holes under stochastic Ricci flow
Strong multiplicative noise under stochastic Ricci flow suppresses growth of angular metric perturbations of Schwarzschild-AdS black holes in the negative heat-capacity regime, stabilizing otherwise unstable configurations.
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Emergent Gravity from Topological Quantum Field Theory: Stochastic Gradient Flow Perspective away from the Quantum Gravity Problem
A stochastic gradient flow of Wilczek's pre-geometric theory is claimed to interpolate between an infrared fixed point given by General Relativity and an ultraviolet fixed point given by a topological BF theory.
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