That is an interesting hypothesis recca. The variable existence of Plank parameters over long periods of time is the basis on which the "Big Rip" theory is born.look what i found?
links:
http://www.ebtx.com/ntx/ntx33a1.htm
http://answers.yahoo.com/question/index?qid=1005120802746
there is some relation betn e and pi those eqn tell me not to bother (i've got another examination coming up) so i'm off.