Space-time fluctuations and a stochastic Schr\"odinger-Newton equation
Abstract
We propose a stochastic modification of the Schr\"odinger-Newton equation which takes into account the effect of extrinsic spacetime fluctuations. We use this equation to demonstrate gravitationally induced decoherence of two gaussian wave-packets, and obtain a decoherence criterion similar to those obtained in the earlier literature in the context of effects of gravity on the Schr\"odinger equation.
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