Topological Geometrodynamics: an Overall View
نویسنده
چکیده
A brief summary of the basic ideas of Topological Geometrodynamics (TGD), its recent state, its applications, and its theoretical challenges is given with a special emphasis on the most recent developments. Parton level formulation of quantum TGD as an almost topological quantum field theory using light-like 3-surfaces as fundamental objects allows a detailed understanding of generalized super-conformal symmetries. In zero energy ontology S-matrix can be identified as time-like entanglement coefficients between positive and negative energy parts of zero energy states. Besides super-conformal symmetries number theoretic universality meaning fusion of real and p-adic physics to single coherent whole forces a formulation in terms of number theoretic braids. A category theoretical interpretation as a functor is possible. Finite-temperature S-matrix can be regarded as genuine quantum state in zero energy ontology. Hyper-finite factors of type II1 emerge naturally through Clifford algebra of the ”world of classical worlds” and allow a formulation of quantum measurement theory with a finite measurement resolution. A generalization of the notion of imbedding space emerges naturally from the requirement that the choice of quantization axes has a geometric correlate also at the level of imbedding space. The physical implication is the identification of dark matter in terms of a hierarchy of phases with quantized values of Planck constant having arbitrarily large values.
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