Please refer me to any data that shows that one can develop a physical addiction to owning a gun. People might get mad if you take their precious guns away, but they're not going to go through physical withdrawals and have to go to guns anonymous in order to cope...lol.
Like shockwave pointed out, the majority of addiction is psychological, but I believe for those truly addicted to their guns, like say Alex Jones, they most certainly would experience physical withdrawals as a result of panic, anxiety, fear etc. The effect gun ownership has on their psyche is powerful, and the removal of the gun would send their minds into a spiralling downfall and yes, I don't think they would cope. People like Alex openly admit it, his guns are a psychological protective measure to deal with any unforeseen threats, they give him a sense of security that he would be unable to establish without the guns. His guns, just like drugs, are a crutch, they keep anxiety at bay and they produce feelings of safety and security.
The average Gun Nutters fear of withdrawal is all too evident in his reaction to changes to the 2nd amendment and stricter gun controls. Can you imagine how he would react if someone were to actually take his guns away! Try taking drugs away from an addict in active addiction, see how that works for you, then try taking the guns away from a Gun Nutter, you will get the same response both times, they will deny they have a problem and attempt to kill you if you continue to remove their drug of choice. For some people Guns are an addiction, evident by the way they relate to them and their place in their lives.