To put it more succinctly: The right to swing your arm ends where my nose begins.
If your nose walks into my arm as I am swinging while I have taken reasonable percautions against hitting your nose then in fact that is not true. If however I have not taken any reasonable percautions then I might have indeed violated your rights to have an un-hit nose. Rights do not exist in a vacum so that is why intent, and reasonableness of behavior, and degree of responsibility must be considered.
Then, since nuclear weapons are indiscriminatory, and since you invariably will violate an innocent parties right of quiet enjoyment should you detonate a nuclear weapon, then you will be forced to concede that your possession and use of a nuclear weapon is likely to violate anothers rights. And since you clearly infer you believe your rights do not trump anothers, I expect you would understand and agree with the discrimination test.