Here is a link I found a little while ago that summarizes some methods. It looks like I have already tried most of the ones mentioned. Is this pretty much all that has been explored of the subject so far?

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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."