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Do the physicist thing and just define all your constants to be one.

"How long is a day? 1 day."

"I slept for .37 days."

This nicely unifies things with the tao manifesto[1] people since 1 day = 1 turn = 1 tau = 2 * pi radians and reinforces the periodic nature of these things.

[1]: https://tauday.com/tau-manifesto



Yes, but in reality, you slept .37827387654329617345987613475130465019873458612386459012374587203475. . . days


Doesn't that depend on whether time is quantized?


Yes, but with no viable theories of a minimal unit, I'll assume that no such thing exists until given proof otherwise.




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