I imagine that both of these have been genetically patched and deleted in the vast majority of biomorphs. Biomods make transhumans heal faster and they aren't using the uterus anyway so I imaging periods are a thing of the past. As for refractory periods, I imagine the hormone reception and neurotransmisions potentially associated with refractory periods can easily be manipulated by transhuman technology.
Do you think transhumans have periods?
Do you think transhumans have refractory periods? (I'm asking for a friend.)
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Picture of Fire taken under CC0 license. (That's the correct syntax, right?)