An Overview of Topological Geometrodynamics

Matti J Pitkanen

Abstract


Topological Geometrodynamics  (TGD) was born as a possible solution to the special-general relativity  discrepancy. Space-time as a 4-D surface was the radically new vision about the fundamental ontology.  The new view leads to notions like many-sheeted space-time, topological field quantization, sub-manifold gravity, geometrization of classical fields in terms of sub-manifold geometry and  of standard model quantum numbers, and eventually to geometrization of Feynman diagrams in terms of space-time geometry having highly non-trivial implications also in the macroscopic length scales.  The introduction of p-adic number fields leads to the generalization of the notion of space-time so that it also allowed p-adic regions for various values of p-adic prime.  The construction of quantum TGD led to the idea about physics as a geometry of "world of classical worlds" (WCW).   WCW spinor fields (formally purely classical objects) would define the quantum states of the Universe.  Quantum measurement theory is generalized to  a quantum theory of consciousness  relying  on the notions of quantum jump and self. These notions   are  identified in the simplest formulation.  The new ontology  implies highly non-trivial predictions in all length scales and  is especially relevant for TGD inspired quantum biology and consciousness theory.


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