Eddington notes both in a popular work and in Relativity Theory of Protons and Electrons p. 36n that Zariski proved that his E-number calculus can be interpreted in terms of the Kummer quartic surface, Am. J. Math. v. 56, 1936. Eddington probably learned about the surface from the book by R W H T Hudson (Cambridge 1905). Newman also published a paper on this equivalence of Eddington's calculus and Kummer-like surfaces in the J. of the London Math. Soc. 1932. Apparently two others noted this equivalence, but seem not to have published.
The Kummer surface is a subcase of Andre Weil's K3 (Kummer, Kaehler, Kodaira) surface. K3 is commonly used as an example in string theory and M-theory.
Does anyone know of any mathematicians or physicists who have applied Eddington's E-number machinery to the K3 surface?