Stephen P. King (stephenk1@home.com)
Sat, 03 Apr 1999 10:26:28 -0500
Hi All,
A brief note. The duality that Pratt speaks to can is exeplified by the
duality between the set of vectors in a tangent space and its cotangent
space of linear functionals. Each of these can be seen as a 4-space. It
could be that octonions are involved, but I do not know the details. But
I do notice that this looks like Matti's thoughts:
> "One one results on my side was the realization that 8-dimensional
> imbedding space H of TGD allows octonionic structures as tangent space
> structure: one could say that H is locally a number field. Future
> lightcone of Minkowski space allows very natural quaternion structure.
> This was a surprise for me since I had used to think quaternions are
> as inherently Euclidian space: one can however define also Minkowksi
> metric: inner product is defined as the real part of xy instead of
> real part of x^*y."
and
> "In TGD framework cognitive spacetime sheets, which are nearly vacuum and
> have finite time duration. [Energy and other conserved quantities flow
> from material spacetime sheets to cognitive sheets when they are formed
> and back to material spacetime sheets when cognitive spacetime sheets
> disappear.] The entanglement of cognitive spacetime sheets, 'Mind' with
> spacetime sheets carrying matter, 'Matter' is reduced in allowed quantum
> jumps."
I am interested in how we pair-wise partition the Universe into, to use
MAtti's terms, material and cognitive spacetimes. I think the former are
modeled by Pratt's Body and the latter by Mind. There is an optimization
involved that looks like Matti's ideas, but I am missing the details of
its mechanism. Is it like a step-wise adaptation or a converging
tournament of games or a darwinian group selection, or all of the above?
:) Could the act of communication be represented by "wormholes"? How do
we quantitate the information flow allows by wormholes?
Later,
Stephen
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