There is an alternative, much simpler way of looking at it that dates back to an overlooked 1996 paper by Nicolas Cerf and Christof Adami: the arrow of time depends on entanglement because that's the only way to get classical correlations (i.e. memories) out of quantum mechanics.
https://blog.rongarret.info/2014/09/are-parallel-universes-r...
https://blog.rongarret.info/2014/10/parallel-universes-and-a...
You can arrive at the same conclusion relying solely on the theory of decoherence, which can be traced back as early as 1970:
I remember reading once the idea that cats can remember the future.
But I am unable to re-locate the source of this idea. Can anyone help ?
Uh, that won't be discovered until 2057.
You aren't by any chance a cat, are you?
"Time flies like an arrow. Fruit flies like a banana."
(or should that be "ǝɯᴉʇ ɔᴉdoɹʇuǝ ɟo ʍoɹɹɐ"?)
It was gifted to Charlemagne, the Holy Roman Emperor, by Harūn al-Rashīd: https://muslimheritage.com/baghdad-clock/
But certainly the knowledge of such advanced analog computers was lost to humanity for centuries. Is humbling for sure.