I dont know the exact details, so I got a question. If Peppers continues his performance, its quite likely he'd be entered. The question is, who would have claim to him as its not like we got him before 1 or 2 years before he retires? For example, in Farves case, Packers would have more claim to Farve imo right? But in Peppers case, will we have the legit claim to Peppers? Or would the Panthers? Or both? Or depending on his performance with both teams? Just curious as hell lol
For starters the pro football hall of fame does not force players to enter as a member of a certain team. The busts have underneath them a list of all their team credentials. However, players are usually unofficially associated with a specific team. Using your example of Favre, he will without question "go in as a Packer."
There are exceptions. For example Reggie White. White spent 8 years with the Eagles and 6 with the Packers with about equal success in both stints (save that he won a super bowl with Green Bay). Both the Eagles and the Packers consider him to be a hall of famer from their team (Packers:
Team » Green Bay Packers Eagles:
Team » Philadelphia Eagles).
As for Peppers, it depends. There's no formula for deciding this sort of issue, but I'd say the Bears would have a "partial claim" over him if he ended up spending a similar amount of seasons in Chicago. He spent 8 with Carolina, so at least 6 would probably be required for him to be a "Bear hall of famer." Also, he'd have to continue to be an elite defensive player for all those years with the Bears. The other factor that could affect what team he's perceived to be associated with is if he wins an accolade such as defensive player of the year with the Bears and/or wins a super bowl with them.
In all likelihood, Peppers would be going in as both a Panther and a Bear, but the Bears would still be able to count him towards their hall of fame number (currently 26).