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The claim about Planck times is that nothing can happen in less time.
No. The claim is that nothing is located in time with a precision smaller than the planck time.
I don't really doubt that you're right. Most everything I read on the subject agrees with or is consistant with what you're saying. But the idea is still very confusing to me, so I appreciate your explanations. Let me try to make my troubles more clear.
So far as I understand it, a Planck time is a minimum because that's the time it takes the fastest possible thing to pass through the minimum possible length. If something were going 99% the speed of light, or 75% or any percentage other than 100%, 50%, 25%, 12.5% etc. then it would travel through the Planck...