Of course, there's no reason to strictly believe that what you thought was a future version of yourself wasn't either lying or a simulacrum of some kind, or that any note you receive after intending to send a note back to yourself hasn't been intercepted and subverted.
Which leads to interesting stories when those expectations are subverted, but only after they've been established.
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This is precisely why trying to avoid exponentially-long compute times for PSPACE problems through the use of a time machine requires a computer with exponentially high MTBF.
Why exponentially, precisely?