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Questions related to the twistor lift of Kähler action

Monday, February 27, 2017 23:52
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During last couple years a kind of palace revolution has taken place in the formulation and interpretation of TGD. The notion of twistor lift and 8-D generalization of twistorialization have dramatically simplified and also modified the view about what classical TGD and quantum TGD are.

The notion of adelic physics suggests the interpretation of scattering diagrams as representations of algebraic computations with diagrams producing the same output from given input are equivalent. The simplest possible manner to perform the computation corresponds to a tree diagram. As will be found, it is now possible to even propose explicit twistorial formulas for scattering formulas since the horrible problems related to the integration over WCW might be circumvented altogether.

From the interpretation of p-adic physics as physics of cognition, heff/h=n could be interpreted as the order of Galois group. Discrete coupling constant evolution would correspond to phase transitions changing the extension of rationals and its Galois group. TGD inspired theory of consciousness is an essential part of TGD and the crucial Negentropy Maximization Principle in statistical sense follows from number theoretic evolution as increase of the order of Galois group for extension of rationals defining adeles.

Recently I made some observations relating to the twistor lift of Kähler action. The unpleasant observation was that the proposed vision for the p-adic evolution of cosmological constant does not make sense since it is based on calculational error. The pleasant observation was that the correct formulation of 6-D Kähler action in the framework of adelic physics implies that the physics of TGD does not depend on the overall scaling of Kähler action. This implies that the preferred extremals need not minimal surface extremals of Kähler action. It is enough that they are so asymptotically – near the boundaries of CDs where they behave like free particles. This also nicely conforms with the physical idea that they are 4-D generalizations for orbits of particles in induced Kähler field.

The solution to the problem of cosmological constant is that the entire 6-D action decomposing to 4-D Kähler action and volume term is identified in terms of cosmological constant. The cancellation of Kähler electric contribution and remaining contributions explains why the cosmological constant is so small in cosmological scales and also allows to understand p-adic coupling constant evolution of cosmological constant.

For details see the new chapter Some Questions Related to the Twistor Lift of TGD of “Towards M-matrix” or the article with the same title.

For a summary of earlier postings see Latest progress in TGD.

Articles and other material related to TGD.


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