In the model there’s the distribution p, which determines how the world is changing. In the chess example this would include: a) how the agent’s action changes the state of the game + b) some distribution we assume (but which we may or may not actually know) about the opponent’s action and the resulting state of the game. In a physics example, p should include the relevant laws of physics, together with constants which tell the rate (and manner) in which the world is changing. Any changing parameters should be part of the state.
It seems that you’re saying that it may be difficult to know what p is. Then you are very much correct. You probably couldn’t infer the laws of physics from the current wave function of the universe, or the rules of chess from the current state of the game. But at this point we’re only assuming that such laws exist, not that we know how to learn them.
p and q are probability distributions, which is where we allow for randomness in the process. But note that randomness becomes a tricky concept if you go deep enough into physics.
As for the “quantum mind” theory, as far as I can tell it’s fringe science at best. Personally, I’m very skeptical. Regardless, such a model can still have the Markov property, if you include the wave function in your state.
In the model there’s the distribution p, which determines how the world is changing. In the chess example this would include: a) how the agent’s action changes the state of the game + b) some distribution we assume (but which we may or may not actually know) about the opponent’s action and the resulting state of the game. In a physics example, p should include the relevant laws of physics, together with constants which tell the rate (and manner) in which the world is changing. Any changing parameters should be part of the state.
It seems that you’re saying that it may be difficult to know what p is. Then you are very much correct. You probably couldn’t infer the laws of physics from the current wave function of the universe, or the rules of chess from the current state of the game. But at this point we’re only assuming that such laws exist, not that we know how to learn them.
p and q are probability distributions, which is where we allow for randomness in the process. But note that randomness becomes a tricky concept if you go deep enough into physics.
As for the “quantum mind” theory, as far as I can tell it’s fringe science at best. Personally, I’m very skeptical. Regardless, such a model can still have the Markov property, if you include the wave function in your state.