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Independent studies by different authors have proposed that classicality maybe induced in quantum objects by cosmological constraints presented by anexpanding universe of finite extent in space-time. Cosmological effects on aquantum system can be explored in one approach by considering an object at restin space with a universal Hubble expansion taking place away from it, anddeveloping a Schroedinger type governing differential equation incorporating anintrinsic expansion speed. Wave function solutions to this governing equationexhibit pronounced central localization. The extent of concentration ofprobability depends on mass; objects with small masses tend to behave in adelocalized manner as ordinary quantum objects do in a static space, whilequantum objects with large masses are concentrated into much smaller regions.To develop a criterion for classicality, we consider that if the size of thelocalized region of concentrated probability density is larger than the size ofthe corresponding extended object, then quantum behavior could be expected;whereas if the region of high probability density for the location of thecenter of mass is smaller than the size of the object, the object would behavein a more classical manner. The resultant size threshold for classicalityaccords with results of other studies examining these issues based onuncertainty relations and wave packets. This size threshold is informative forthe case of compact extended objects and, as the constraint applies to thecenter of mass of the system, does not lead to inconsistencies for quantumcorrelations between distant entangled quantum objects. While local decoherencemay lead to classicality under a variety of conditions, cosmologically inducedclassicality would appear to cause fundamental limitations on quantum behaviorin our universe.

Localization of quantum objects in an expanding universe and cosmologically induced classicality