Novel String Field Theory and Bound State, Projective Line, and sharply 3-transitive group

Abstract

Using ideas from our long studied Novel String Field Theory we consider in this article a bound state of infinitely many constituents, something that at least very approximately could mean a hadron, since hadrons have typically very many constituents. Our main point, so far, is to speculate that there should be a very high degree of symmetry between the many consituents, since the constituents behave similarly at different places in the bound state. We assume speculatively that there is a group represented sharply 3-transitively as permutation of the constituents; one can namely only have {\em finite} number of elements sharply n-transitively permuted for n larger than 3. The scattering of such bound states will in the zero Bjorken $x$ limit (which is suggeted) only occur by exchange of parts of the system of constituents, quite like in our Novel String field Theory the "objects" are exchanged in bunches. The cyclically ordered chain of objects in this Novel String Field Theory are identified as a projective line structure. Also a p-adic field is a natural possibility.