What Could Be the Counterparts of Einstein's Equations in TGD?

Abstract

The original motivation of this work was related to Platonic solids. The playing with Einstein's equations and the attempts to interpret them physically forced the return to an  old interpretational  problem of TGD. TGD allows enormous vacuum degeneracy for Kahler action but the vacuum extremals are not gravitational vacua.  Could this mean that TGD forces to modify Einstein's equations? Could space-time surfaces carrying energy and momentum in GRT framework be vacua in TGD context? Of course, also in GRT context cosmological constant means just this and an experimental fact, is that cosmological constant is non-vanishing albeit extremely small.