tag:blogger.com,1999:blog-5439168179960787195.post5661611320363836762..comments2024-03-28T17:13:01.117+10:00Comments on Condensed concepts: Why are the macroscopic and microscopic related?Ross H. McKenziehttp://www.blogger.com/profile/09950455939572097456noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-5439168179960787195.post-81523314764958040142016-11-15T05:29:23.164+10:002016-11-15T05:29:23.164+10:00Very nice points indeed. Two remarks.
1. Although...Very nice points indeed. Two remarks.<br /><br />1. Although this is rather trivial, it is seldom pointed out that it is the fact that the commutation (or anticommutation) relations are local that allows them to be satisfied also for the center of mass and total momentum of a large particle. This reinforces the point about locality.<br /><br />2. Although the Bohr radius and other small lengths come in when one includes electromagnetism, mass etc, the absolute scale for "smallness" is the quantum of action given by Planck's constant. This (along with broken symmetry) is what allows macroscopic superconducting qubits, for example, to let the laws of quantum mechanics be manifest despite the large size of these objects. André-Marie Tremblayhttps://www.blogger.com/profile/16327293910699208600noreply@blogger.com