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Physics as Infinitedimensional Geometry and Generalized Number Theory: Basic Visions
, 2010
"... There are two basic approaches to the construction of quantum TGD. The first approach relies on the vision of quantum physics as infinitedimensional Kähler geometry for the ”world of classical worlds ” identified as the space of 3surfaces in in certain 8dimensional space. Essentially a generaliza ..."
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Cited by 14 (9 self)
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There are two basic approaches to the construction of quantum TGD. The first approach relies on the vision of quantum physics as infinitedimensional Kähler geometry for the ”world of classical worlds ” identified as the space of 3surfaces in in certain 8dimensional space. Essentially a generalization of the Einstein’s geometrization of physics program is in question. The second vision is the identification of physics as a generalized number theory. This program involves three threads: various padic physics and their fusion together with real number based physics to a larger structure, the attempt to understand basic physics in terms of classical number fields (in particular, identifying associativity condition as the basic dynamical principle), and infinite primes whose construction is formally analogous to a repeated second quantization of an arithmetic quantum field theory. In this article brief summaries of physics as infinitedimensional geometry and generalized number theory are given to be followed by more detailed articles.
Identification of the Configuration Space Kähler Function
, 2010
"... There are two basic approaches to quantum TGD. The first approach, which is discussed in this article, is a generalization of Einstein’s geometrization program of physics to an infinitedimensional context. Second approach is based on the identification of physics as a generalized number theory. The ..."
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Cited by 7 (3 self)
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There are two basic approaches to quantum TGD. The first approach, which is discussed in this article, is a generalization of Einstein’s geometrization program of physics to an infinitedimensional context. Second approach is based on the identification of physics as a generalized number theory. The first approach relies on the vision of quantum physics as infinitedimensional Kähler geometry for the ”world of classical worlds ” (WCW) identified as the space of 3surfaces in in certain 8dimensional space. There are three separate approaches to the challenge of constructing WCW Kähler geometry and spinor structure. The first approach relies on direct guess of Kähler function. Second approach relies on the construction of Kähler form and metric utilizing the huge symmetries of the geometry needed to guarantee the mathematical existence of Riemann connection. The third approach relies on the construction of spinor structure based on the hypothesis that complexified WCW gamma matrices are representable as linear combinations of fermionic oscillator operator for second quantized free spinor fields at spacetime surface and on the geometrization of superconformal symmetries in terms of WCW spinor structure. In this article the proposal for Kähler function based on the requirement of 4dimensional General
The Geometry of CP2 and its Relationship to Standard Model
, 2010
"... This appendix contains basic facts about CP2 as a symmetric space and Kähler manifold. The coding of the standard model symmetries to the geometry of CP2, the physical interpretation of the induced spinor connection in terms of electroweak gauge potentials, and basic facts about induced gauge field ..."
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Cited by 5 (4 self)
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This appendix contains basic facts about CP2 as a symmetric space and Kähler manifold. The coding of the standard model symmetries to the geometry of CP2, the physical interpretation of the induced spinor connection in terms of electroweak gauge potentials, and basic facts about induced gauge fields are discussed. Contents 1 Basic