Spontaneous Collapse Models on a Lattice

Nicolò Piccione

David W. Snoke

David W. Snoke

Fay Dowker B, Joe Henson C

We present a spontaneous collapse model of a field theory on a 1+1 null lattice, in which the causal structure of the lattice plays a central role. Issues such as ``locality,'' ``non-locality'' and superluminal signaling are addressed in the context of the model which has the virtue of extreme simplicity. The formalism of the model is related to that of the consistent histories approach to quantum mechanics.

C. R. Jones, Giulio Gasbarri, Angelo Bassi

Abstract Currently there is not a satisfactory relativistic spontaneous collapse model. Here we show the impossibility of a simple generalization of the continuous spontaneous collapse (CSL) model to the relativistic framework. We consider a mass coupled model as in the non-relativistic limit this gives the CSL model. We show that a Lorentz covariant collapse equation cannot simultaneously satisfy the following conditions: (i) to avoid a divergent rate of energy, (ii) to prevent superluminal signalling.

Peter J. Lewis