Authors: Matti Pitkänen
One manner to see TGD is as a solution of the energy problem of General Relativity in terms of sub-manifold gravity. The translations act now as translations of 8-D imbedding space M4×CP2 rather than in space-time itself and four-momentum can be identified as Noether charge. The detailed realization of this vision however involves several conceptual delicacies. What does Equivalence Principle mean in this framework: equivalence of gravitational and inertial momenta or just Einstein's equations or their generalization? What is the precise definition of inertial and gravitational four-momenta? What does quantum classical correspondence mean and could Equivalence Principle reduce to it? p-Adic mass calculations and the notion of generalised conformal invariance provide strong constraints on the attempts to answer these questions. This article provides the most recent view about the most plausible looking answer to these questions. Twistor Grassmann approach relies on the Yangian variant of 4-D conformal symmetry generalizing in TGD framework to Yangian variants of huge conformal symmetry algebras due to the effective 2-dimensionality of light-like 3-surfaces. This suggest also a generalization of four-momentum bringing in multilocal contributions analogous to interaction energy and also this is discussed in some detail.
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[v1] 2014-09-26 07:01:53
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