tag:blogger.com,1999:blog-26741618.post3952180286975591551..comments2021-03-22T10:07:23.014-07:00Comments on homunculus: ScoopedPhilip Ballhttp://www.blogger.com/profile/09986655706443117158noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-26741618.post-37432014243684659412019-12-16T06:22:15.623-08:002019-12-16T06:22:15.623-08:00This is similar to MERW: https://en.wikipedia.org/...This is similar to MERW: https://en.wikipedia.org/wiki/Maximal_entropy_random_walk<br /><br />Regarding its interpretation, let's look at the simplest situation: dynamics in [0,1] range.<br />Standard diffusion, chaos leads to uniform stationary probability distribution rho=1.<br />Such entropy maximization leads to rho~sin^2 instead - indeed localized in the center ... and this is the same as ground state probability distribution in quantum mechanics in this infinite potential well.<br /><br />There is no magic in such entropy maximization - just repairing the difference between standard classical diffusion and quantum behavior - leading e.g. to Anderson localization effects, e.g. preventing semiconductor from being a conductor.Jarek Dudahttps://www.blogger.com/profile/11358050996148333936noreply@blogger.com