https://matpitka.blogspot.com/2019/12/when-do-partonic-2-surfaces-and-string.html

Sunday, December 29, 2019

When do partonic 2-surfaces and string world sheets define large cognitive representations?

Cognitive representations are identified as points of space-time surface X4⊂ M4× CP2 having imbedding space coordinates in the extension of of rationals defined by the polynomial defined by the M8 pre-image of X4 under M8-H correspondence. Cognitive representations have become key piece in the formulation of scattering amplitudes and in TGD view about consciousness and cognition. One might argue that number theoretic evolution as increase of the dimension of the extension of rationals favors space-time surfaces with especially large cognitive representations since the larger the number of points in the representation is, the more faithful the representation is.

Strong form of holography (SH) suggests that it is enough to consider cognitive representations restricted to partonic 2-surfaces and string world sheets. What kind of 2-surfaces are the cognitively fittest one? It would not be surprising if surfaces with large symmetries acting in extension were favored and elliptic curves with discrete 2-D translation group indeed turn out to be assigable string world sheets as singularities and string like objects.

See the article When do partonic 2-surfaces and string world sheets define large cognitive representations? or the chapter Does M8-H duality reduce classical TGD to octonionic algebraic geometry?: Part III.

For a summary of earlier postings see Latest progress in TGD.

Articles and other material related to TGD.

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