Cougar,
You might want to check my post #30 again. I accidently erased it

, so I redid it, but I know I responded differently to your second paragraph after rereading it than I did the first time, not that I remember my response to that anyway, but I think I got the other two responses the same.
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Let's put together the pieces of
The Grand Puzzle . (website)
"Let's define another operator, Sz, which we won't pay any attention to."
"This transformation will automatically make zero equal zero."
"It may be true that zero equals zero -- and that is certainly an equality -- but I don't want to go into the details at this time."