5 ms·

It's just formal game but you still haven't managed to write down the state space nor specify the transition probabilities for a single atom let alone a person.

• ben_w 2y ago
  > It's just formal game but you still haven't managed to write down the state space nor specify the transition probabilities for a single atom let alone a person. False. I've given you the state space. It's the one defined by 2^(k*10^17) bits. That's your state space. I don't know why you have a hard time with this concept, it doesn't seem particularly challenging to me. I've also said, in what I thought was quite clear language, that writing down the transition probabilities for even a system significantly simpler than a human brain would require so much information that by the Bekenstein bound it would require a universe substantially larger than this one to avoid becoming a black hole. If you're not going to accept that the very specific things you asked for — things which you seem to accept exist — are already sufficient to be proof that quantum mechanics and by extension all of reality including humans are in the set of things defined by Markov chains unless I literally destroy the universe by writing the function down in that fashion, then we're done. Or are you shifting the goal posts when you wrote this?: > and the unitary operator that corresponds to your daily activities in terms of a Markov chain Given that what actually fits into a comment box is either a super-high-level representation where it's transitions at a macro level like "sleep" -> "get up" -> "go to work" etc. or a super-low-level representation like iħ ∂ψ/∂t |ψ> = (H^)|ψ>
  • benchmarkist 2y ago
    So do you realize the absurdity of your original statement or do you want to keep going?