The origin of entropy in the universe

We discuss the entropy generation in quantum tunneling of a relativistic pa rticle under the influence of a time-varying force with the help of squeezi ng formalism. It is shown that if one associates classical coarse grained e ntropy to the phase space volume, there is an inevitable entropy growth due to the changes in position and momentum variances. The entropy change can be quantified by a. simple expression Delta S = ln cosh 2r, where r is the squeeze parameter measuring the "height" and "width" of the potential barri er. We suggest that thc: universe could have acquired its initial entropy i n a quantum squeeze from "nothing" and briefly discuss the implications of our proposal.