**Matti Pitkanen** (*matpitka@pcu.helsinki.fi*)

*Sun, 4 Apr 1999 13:04:04 +0300 (EET DST)*

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On Sun, 21 Mar 1999, ca314159 wrote:

*> Hi,
*

*> I really hate resorting to physics jargon and
*

*> mathematics but I think in this case the meanings
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*> are narrow enough to express what I mean:
*

*>
*

*> As the state parameters of a density matrix
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*> become less discrete and more continuous,
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*> the density matrix becomes more complete,
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*> until at the extreme the density matrix does
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*> not represent probabilities but the complete
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*> classical Newtonian representation of what
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*> the density matrix was intended to model.
*

*> These intermediate semi-classical stages
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*> resolve the system that the density matrix
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*> is modelling.
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*>
*

*> The complete density matrix is a fiction in the
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*> sense that it reduces all non-determinism to
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*> determinism. Randomness resolved completely
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*> is not randomness.
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*>
*

*> This brings in the concept of infinty which
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*> leads to the renormalization problem, which is
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*> solved in many cases by picking a suitable cutoff
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*> where the density matrix is semi-classically
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*> sufficient for the intended purpose of the
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*> modelling.
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*>
*

[MP]

Just a comment for clarification. In quantum statistical mechanics

density matrix is statistical description of ensemble. In TGD inspired

theory of consciousness it is descriptio of single subsystem: quantum

statistical density matrix could be regarded as ensemble average of this

density matrix.

The dimension of density matrix in TGD sense is determined by the number

N of entangled states, which also measures the 'resolution' of quantum

measurement and also maximum 'catchiness' of conscious experience since

maximum negentropy gain is log(N) in real context.

MP

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