An Indication From the Magnitude of CP Violations that Gravitation is a Possible Cause of Wave-Function Collapse

Abstract

We consider experimental evidence for the hypothesis that the Planck energy, $E_p\approx 10^{19}GeV$, sets the scale $ϵ$ at which wave function collapse causes deviations from linear Schrödinger evolution. With a few plausible assumptions about the collapse process, we first show that the observed CP violation in $K_L$ decay implies a lower bound on $ϵ$ remarkably close to $E_p$. If the bound is saturated, the entire CP violation is due to collapse and a prediction made that the branching ratio for CP violation in the B meson decay will be $\gamma \approx 10^{-5}$. We then show that the assumptions are consequences of a simple non-linear, stochastic modification of the Schrödinger equation with $ϵ$ setting the scale of the non-linearity.

Comments: 6 pages, 0 figures, plain TeX