[time 132] Re: [time 113] RE: [time 69] Spacetime & consciousness

Matti Pitkanen (matpitka@pcu.helsinki.fi)
Sun, 4 Apr 1999 13:04:04 +0300 (EET DST)

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
> are narrow enough to express what I mean:
> As the state parameters of a density matrix
> become less discrete and more continuous,
> the density matrix becomes more complete,
> until at the extreme the density matrix does
> not represent probabilities but the complete
> classical Newtonian representation of what
> the density matrix was intended to model.
> These intermediate semi-classical stages
> resolve the system that the density matrix
> is modelling.
> The complete density matrix is a fiction in the
> sense that it reduces all non-determinism to
> determinism. Randomness resolved completely
> is not randomness.
> This brings in the concept of infinty which
> leads to the renormalization problem, which is
> solved in many cases by picking a suitable cutoff
> where the density matrix is semi-classically
> sufficient for the intended purpose of the
> modelling.

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.


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