stevevw
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Your killing conscious choice with math.The problem with your post is that Stapp's model like any other interpretation is based on a mathematical framework so it is is meaningless to ask questions like where does decoherence comes from.
Like Stapp I am using his mathematical framework to address the issues not irrelevant metaphysical questions.
Decoherence is a mathematical process where initially an infinite number of physical brain states entangled with the environment is changed into a classical mixed statistical state over a large set of alternative physical brain states.
Mathematically the brain states entangled with the environment E to those familiar with Hilbert spaces and linear algebra is:
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Decoherence mathematically is represented by the density matrix ρ.
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The mind is also a mathematical process based on the use of quantum logic where the finite mixed physical brain statistical set is "interrogated" by yes/no questions as binary units yes =1 and no = 0. This further reduces the size of the set.
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The outcomes are Yes.
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Or No.
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Tr is the trace of the density matrix.
The outcomes are probabilistic as the mathematics is based on Born rule probabilities.
Where the outcome is yes consciousness occurs, if no consciousness does not occur.
The mathematics shows consciousness emerges after entanglement when the superposed physical brain states become a statistical mixture and since it is a function of the brain density matrix it is clearly local not non local.
What did Stapp mean by the highlighted statements ?Stapp went to the degree of associating consciousness with the brain's neural functions.
“….The argument is concretized in a way that makes it accessible to non-physicists by exploiting the recent evidence connecting our conscious experiences to macroscopic measurable synchronous oscillations occurring in well-separated parts of the brain. A specific new model of the mind-brain connection that is fundamentally quantum mechanical but that ties conscious experiences to these macroscopic synchronous oscillations is used to illustrate the essential disparities between the classical and quantum notions of the physical, and in particular to demonstrate the failure in the quantum world of the principle of the causal closure of the physical, a failure that goes beyond what is entailed by the randomness in the outcomes of observations, and that accommodates the efficacy in the brain of conscious intent”.
Physicalism versus quantum mechanics
The mind-brain connection is fundementally quantum mechanical which ties conscious experiences to the macroscopic.
How can a conscious experience be captured by a mathmatical equation ?
The failure of the causal closure of the physical in the quantum world. It seems that Stapp is using conscious experience and choice as a link to the macro and physical world. An essential phenomena that contributes to creating physical reality.
No matter which way you look at it conscious experience and free choice is involved and this can never be reduced to the physical brain or a mathmatical equation.
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