So that's it. I read your proof. You try cloaking it in pseudo-mathematical formulation, but what you are really doing is defining division as a derived operator, rather than the axiomatic operator it is in mathematics. I can say 1= infinity in my universe and as long as I am consistent, it is sound.
You're saying this is a useful property to have, and certainly that holds merit in certain conditions, but it is not a correct property.
Your article title should be clarified to state "1/0=0 (in my universe)." But then it wouldn't be controversial would it? After all, this is just an experiment to gain some visibility for Pony, isn't it?