Continuous Spontaneous Localisation Rates Implied by a Maximum Density: A Computed Bound and Laboratory Comparison

This paper computes what a maximum mass density implies for the collapse rate in continuous spontaneous localisation models and compares the outcome with laboratory limits. The density ceiling adopted here is 9.717e+57 kilograms per cubic metre on the neutron branch. Translating the ceiling into an energy budget over a Hubble time gives a formal upper value for the collapse rate of 6.753e+57 per second, many orders of magnitude above both the conventional value of 1.00e-16 per second and the stronger value of 1.00e-08 per second sometimes advocated on phenomenological grounds. The associated heating at the conventional rate is only 2.973e-17 watts per kilogram. The ceiling therefore does not restrict the collapse rate within any range currently discussed; the binding restrictions remain the laboratory limits from spontaneous radiation and force-noise measurements, which are tighter by an enormous margin. The study is simulated and computed from stated assumptions; it is not a measurement.