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.