I thought I was the only one able to do this? Someone moved me from Here to Physics.SE where I was suspended preventing me from chatting here and everywhere for a year. This is not right?? Can you as a moderator make it possible for me to chat here at least. It happened when I was chatting on Physics.SE.
Who moved my parent site from Space.SE to another site?
I did (mod on Quantum Computing SE).
I thought I was the only one able to do this?
No, all chat moderators can re-parent users.
Someone moved me from Here to Physics.SE where I was suspended preventing me from chatting here and everywhere for a year. This is not right?
If your chat parent was Physics SE you would have been automatically suspended from all chat rooms on the Chat Stack Exchange server. It shouldn't be a matter of luck that one user gets suspended from chat just because their chat parent happened to be the same as the main site they got suspended on while another user gets to use all the chat rooms freely just because they happened to have a different chat parent. C.f. Shog9's answer here.
You were told that you shouldn't be chatting on Physics SE chat while you were suspended on the Physics SE main site. Since you didn't seem to get the point and continued to chat there, I reparented your chat account manually. You're currently suspended on three sites on the network (namely Electrical Engineering, Engineering and Physics) and have a history of not listening to instructions. You should realize that dealing with repeated behavior of this kind is aggravating for the moderation team. The clear point here is: don't try to use chat to circumvent main site suspensions. Avoid those chat rooms which are hosted on sites where your main account is suspended, during the period of the suspension.
Nevertheless, I am willing to give you another chance and have lifted your one-year suspension. Please keep the above instruction in mind. Try to improve your participation on the main sites (the ones you're not currently suspended on) in the meanwhile (i.e. in the next one year). Ask good questions, write good answers and show respectable behavior. Most importantly, follow the rules! You will then be welcome to visit and use all chat rooms. I can understand that it often feels like we're bogging down users with unnecessary rules and restrictions, but trust me that's exactly what helps us keep SE largely free from spam and trollish behavior.