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The Universe as a Detector: A Quantum Filtering Formulation of the Diósi-Penrose Model
John Gough, Dylon Rees·January 24, 2026
Quantum Physicsgr-qc
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Abstract
We consider the Diósi-Penrose problem but rather than postulating background gravitational fluctuations, we instead consider the quantum filter that arises from space-time homodyning the continuum of output quadrature described in the open quantum stochastic model presented here. This is described by a quantum Kushner-Stratonovich equation, typical of the form appearing in continuous-time collapse of the wave-function models in Quantum Decoherence Theory