nForum - Search Results Feed (Tag: symmetries)2024-06-13T10:11:00+00:00https://nforum.ncatlab.org/
Lussumo Vanilla & Feed Publisher
Scale symmetries and entropy conservationhttps://nforum.ncatlab.org/discussion/5637/2014-01-30T21:25:34+00:002014-01-31T01:47:14+00:00expixpihttps://nforum.ncatlab.org/account/1151/
Scale and entropy of an object can be defined within a category in a canonical way as Hom(S(X),e)=X and d(X)=S(Hom(X,X)) respectively.Intuitively, in physical real systems, entropy is scale dependent ...
Scale and entropy of an object can be defined within a category in a canonical way as Hom(S(X),e)=X and d(X)=S(Hom(X,X)) respectively.

Intuitively, in physical real systems, entropy is scale dependent in the sense that at small and big scales entropy seems to be maximum and arriving to a minimum at a certain characteristic scale. Do this fact some any fundament in categorical definitions ?
]]>