Editing H-theorem (section)

== Connection to information theory ==

''H'' is a forerunner of Shannon's [[information entropy]]. [[Claude Shannon]] denoted his measure of [[Entropy (information theory)|information entropy]] ''H'' after the H-theorem.<ref>Gleick 2011</ref> The article on Shannon's [[information entropy]] contains an
[[Shannon entropy#Information entropy explained|explanation]] of the discrete counterpart of the quantity ''H'', known as the information entropy or information uncertainty (with a minus sign).  By [[Shannon entropy#Extending discrete entropy to the continuous case: differential entropy|extending the discrete information entropy to the continuous information entropy]], also called [[differential entropy]], one obtains the expression in the equation from the section above, [[#Definition_and_meaning_of_Boltzmann's_H|Definition and Meaning of Boltzmann's H]], and thus a better feel for the meaning of ''H''.

The ''H''-theorem's connection between information and entropy plays a central role in a recent controversy called the [[Black hole information paradox]].