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  • $\begingroup$ I think your question is a good one, although far too broad to answer in one go. Could I suggest you read physics.stackexchange.com/questions/133780/… and also en.wikipedia.org/wiki/Spontaneous_symmetry_breaking and then come back with a specific focused question ( or a series of them), on the aspects you do not follow. $\endgroup$
    – user108787
    Commented Oct 5, 2016 at 21:11
  • $\begingroup$ Yes your first link was what I read. The problem is I do not have enough background to be asking the question correctly and yes you are right I need to regroup and ask the question in a way that has more meaning. I have one up vote to the answer below mostly because some kind person was good enough to answer but since I do not even understand one complete sentence in the answer I cannot say if someone might just be pulling my leg. That's what I get for only having an M.S. in Math and not physics. bad me. But maybe the answer can help someone else and that's a good thing. $\endgroup$
    – user86411
    Commented Oct 6, 2016 at 3:11
  • $\begingroup$ The answer is genuine, rest assured of that, and not really meant for you, (nor I ), but for those with the background to follow it. You asked a question involving both symmetry and topology so..........As I say, I would suggest taking your time and learning it bit by bit. You are asking questions that required the combined efforts (and associated mistakes and false assumptions), of many talented people for decades, to develop a knowledge of, so even an overview of these subjects may not fit in any single answer box. Best of luck with the background study and "smaller" questions. $\endgroup$
    – user108787
    Commented Oct 6, 2016 at 4:31