Feynman diagrams within Feynman diagrams and reflective levels of consciousness

Here is the little step forward of this day made in understanding of the role of Jones inclusions of hyper-finite factors of type II_1 as a key element in the construction quantum counterpart for the many-sheeted space-time. It is possible to assign to a given Jones inclusion N subset M an entire hierarchy of Jones inclusions M_0 subset M_1 subset M_2..., M_0=N, M_1=M. A natural interpretation for these inclusions would be as a sequence of topological condensations. This sequence also defines a hierarchy of Feynman diagrams inside Feynman diagrams. The factor M containing the Feynman diagram having as its lines the unitary orbits of N under Delta_{M} (, which defines a canonical automorphism in II_1 factor) becomes a parton in M_1 and its unitary orbits under Delta_{M_1} define lines of Feynman diagrams in M_1. The outcome is a hierarchy of Feynman diagrams within Feynman diagrams, a fractal structure for which many particle scattering events at a given level become particles at the next level. The particles at the next level represent dynamics at the lower level: they have the property of "being about" representing perhaps the most crucial element of conscious experience. Since net conserved quantum numbers can vanish for a system in TGD Universe, this kind of hierarchy indeed allows a realization as zero energy states. Crossing symmetry can be understood in terms of this picture and has been applied to construct a model for S-matrix at high energy limit. The quantum image for the orbit of parton has dimension log_2(M:N) +1<= 3. Two subsequent inclusions form a natural basic unit since the bipartite diagrams classifying Jones inclusions are duals of each other by black-white duality. In this double inclusion a two-parameter family of deformations of M counterpart of a partonic 2-surface is formed and has quantum dimension log_2(M:N) +2<=4. One might perhaps say that quantum space-time corresponds to a double inclusion and that further inclusions bring in N-parameter families of space-time surfaces. For more details see the new chapter Was von Neumann Right After All? Matti Pitkanen