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xkcd #3283: Size and Lifespan
(imgs.xkcd.com)
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I can at least think of a few counterexamples:
Those particles are exactly the kind of exception I was looking for. Tiny things that last a long time. The opposite kind of exceptions are probably impossible since making large things takes a lot of time. You would need to have something the size of a galaxy that lasts from Monday evening to Thursday morning.
The graph has a couple of those "counter examples".