Granular Localisation Length and the Minimum Length: Bounds on Spontaneous Collapse Width from Interferometry

This paper examines whether a fundamental minimum length constrains the correlation length used in spontaneous collapse models. The Planck length is 1.616e-35 metres. For a superposition of one million nucleons separated by one hundred nanometres, the computed collapse-induced decoherence rate varies from 1.000e-10 per second when the correlation length is ten nanometres to 2.500e-15 per second when it is ten micrometres, with 2.212e-11 per second at the conventional one hundred nanometres. Every correlation length under laboratory discussion exceeds the Planck length by more than twenty orders of magnitude, so the minimum length imposes no practical restriction on the parameter; interferometry, not geometry, is what narrows the allowed interval. The study is simulated and computed from stated assumptions; it is not a measurement.