Further Comments on Classical Field Equations in TGD Framework

Abstract

In this article, some remarks about field equations defining space-time surfaces in TGD framework are made. First three dualities at the level of field equations are discussed. These dualities are rather obvious but extremely important concerning the physical interpretation of TGD. The earlier proposal that external particles correspond to minimal surfaces is strengthened. Also the interaction regions would correspond to minimal surfaces and minimal surface property would break down only at reaction vertices associated with partonic 2-surfaces defining the 2-D counterparts of vertices: this would mean physical exchange of  classical conserved charges between volume part of the action and Kahler action just at these points. This would mean strengthening of the strong form of holography to M⁴ x CP₂ counterpart of the   proposed number theoretic holography based on the notion of cognitive representation at the level of M⁸ and also a justification for the proposed construction of twistor Grassmannian variants of scattering amplitudes  involving also data at a discrete set of points.