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.

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