(Assuming Mind=Brain, i.e. the entire mind is just the physical brain and no “soul” is involved. Also, Neurons aren’t really all that small, they’re quite macroscopic—though the processes in the neurons like chemical interactions need quantum mechanics for their description)
In Newtonian Mechanics, it is sufficient to know the positions and velocities (i.e. derivaties of position) of particles to
determine future states. So, the world is Markov given this informatio.
In Schrodinger’s equation, you again only need to know \Psi and it’s time derivative to know all future states. I think the quantum properties of the brain are adequately described just with Schodinger’s equation. You do need to include nuclear forces etc in a description of the brain. You may need quantum electrodynamics, but I think Schrodinger’s equation is sufficient.
My physics education stopped before I got here, but Dirac’s equation which may be necessary to model the brain seems to require the second time-derivative of the wavefunction—so you may need the second order time-derivatives to make the model Markov. Can someone who knows a bit more quantum physics chime in here?
EDIT: Reading the wiki article more carefully, it seems Dirac’s equation is also first order
(Assuming Mind=Brain, i.e. the entire mind is just the physical brain and no “soul” is involved. Also, Neurons aren’t really all that small, they’re quite macroscopic—though the processes in the neurons like chemical interactions need quantum mechanics for their description)
In Newtonian Mechanics, it is sufficient to know the positions and velocities (i.e. derivaties of position) of particles to determine future states. So, the world is Markov given this informatio.
In Schrodinger’s equation, you again only need to know \Psi and it’s time derivative to know all future states. I think the quantum properties of the brain are adequately described just with Schodinger’s equation. You do need to include nuclear forces etc in a description of the brain. You may need quantum electrodynamics, but I think Schrodinger’s equation is sufficient.
My physics education stopped before I got here, but Dirac’s equation which may be necessary to model the brain seems to require the second time-derivative of the wavefunction—so you may need the second order time-derivatives to make the model Markov. Can someone who knows a bit more quantum physics chime in here?
EDIT: Reading the wiki article more carefully, it seems Dirac’s equation is also first order