Under explicit auxiliary structural postulates, Generalized Trace Dynamics yields a candidate CSL-type collapse-noise two-point function with a narrow Wightman line at twice the Hubble scale.
Collapse models with non-white noises
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abstract
We set up a general formalism for models of spontaneous wave function collapse with dynamics represented by a stochastic differential equation driven by general Gaussian noises, not necessarily white in time. In particular, we show that the non-Schrodinger terms of the equation induce the collapse of the wave function to one of the common eigenstates of the collapsing operators, and that the collapse occurs with the correct quantum probabilities. We also develop a perturbation expansion of the solution of the equation with respect to the parameter which sets the strength of the collapse process; such an approximation allows one to compute the leading order terms for the deviations of the predictions of collapse models with respect to those of standard quantum mechanics. This analysis shows that to leading order, the ``imaginary'' noise trick can be used for non-white Gaussian noise.
fields
quant-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Candidate collapse-noise correlators from Generalized Trace Dynamics: a Hubble-scale spectral line under structural assumptions
Under explicit auxiliary structural postulates, Generalized Trace Dynamics yields a candidate CSL-type collapse-noise two-point function with a narrow Wightman line at twice the Hubble scale.