Quantum Gravity and String Theory

   

Hyper-Finite Factors, P-Adic Length Scale Hyoithesis, and Dark Matter Hierarchy

Authors: Matti Pitkänen

The book is devoted to hyper-finite factors and hierarchy of Planck constants.

  1. Configuration space spinors indeed define a canonical example about hyper-finite factor of type II1. The work with TGD inspired model for quantum computation led to the realization that von Neumann algebras, in particular hyper-finite factors of type II1 could provide the mathematics needed to develop a more explicit view about the construction of M-matrix. This has turned out to be the case to the extent that a general master formula for M-matrix with interactions described as a deformation of ordinary tensor product to Connes tensor products emerges.
  2. The idea about hierarchy of Planck constants emerged from anomalies of biology and the strange finding that planetary orbits could be regarded as Bohr orbits but with a gigantic value of Planck constant. This lead to the vision that dark matter corresponds to ordinary particles but with non-standard value of Planck constant and to a generalization of the 8-D imbedding space to a book like structure with pages partially characterized by the value of Planck constant. Using the intuition provided by the inclusions of hyper-finite factors of type II1 one ends up to a prediction for the spectrum of Planck constants associated with> M4; and CP2 degrees of freedom. This inspires the proposal that dark matter could be in quantum Hall like phase localized at light-like 3-surfaces with macroscopic size and behaving in many respects like black hole horizons.

Comments: 729 Pages.

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Submission history

[v1] 2014-09-26 06:23:22

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