Isn't there also a physics angle to antimemes (as portrayed in TINAD)? Self-erasing information sounds like a reduction of entropy and should therefore be a violation of the Second Law of Thermodynamics, no?
It's only a violation in the same way life is in violation. If the system is open it's fine to mess about as long as energy flows.
Of note, information is actually pretty low entropy in general, there are only a few confined states that information is valid in. Erasure just makes it statistically hard to recover the information in a usable timeline. So going from a sequence of 1's to a sequence of any number is increasing entropy.
If you go through the solution to Maxwell's demon it will help here too
