von Neumann Right After All?
Philosophical ideas behind von Neumann algebras
Von Neumann, Dirac, and Feynman
Hyper-finite factors in quantum TGD
Hyper-finite factors and M-matrix
Connes tensor product as a realization of a finite measurement resolution
Quantum spinors and fuzzy quantum mechanics
Von Neumann algebras
Basic classification of von Neumann algebras
Non-commutative measure theory and non-commutative topologies and geometries
Joint modular structure and sectors
Basic facts about hyper-finite factors of type II
Braid group, von
Neumann algebras, quantum TGD, and formation of bound states
Factors of von
II1 factors and
the spinor structure of infinite-dimensional configuration
space of 3-surfaces
correlates for the hierarchy of II1 sub-factors
energy spectra reflect the hierarchy of effective tensor factor
problem, II1 factors, and anyons
Inclusions of II1 and III1 factors
Basic findings about inclusions
The fundamental construction and Temperley-Lieb algebras
Connection with Dynkin diagrams
Indices for the inclusions of type III1 factors
TGD and hyper-finite factors of type II1: ideas and questions
What kind of HFFs can one imagine in TGD?
Direct sum of HFFs of type II1 as minimum option
Bott periodicity, its generalization, and dimension D=8 as an inherent property of the hyper-finite II1 factor
The interpretation of Jones inclusions in TGD framework
Configuration space, space-time, and imbedding space and hyper-finite type II1 factors
Quaternions, octonions, and hyper-finite type II1 factors
Does the hierarchy of infinite primes relate to the hierarchy of II1 factors?
Could HFFs of type III1 have application in TGD framework
Problems associated with the physical interpretation of III1 factors
Quantum measurement theory and HFFs of type III.
What could one say about II1 automorphism associated with the II∞ automorphism defining factor of type III?
What could be the physical interpretation of two kinds of invariants associated with HFFs type III?
Does the time parameter t represent time translation or scaling?
Could HFFs of type III be associated with the dynamics in M4+/- degrees of freedom?
Could the continuation of braidings to homotopies involve Δit automorphisms
HFFs of type III as super-structures providing additional uniqueness?
The latest vision about the role of HFFs in TGD
Basic facts about factors
Inclusions and Connes tensor product
Factors in quantum field theory and thermodynamics
TGD and factors
Can one identify M-matrix from physical arguments?
Finite measurement resolution and HFFs
Questions about quantum measurement theory in zero energy ontology
How p-adic coupling constant evolution and p-adic length scale hypothesis emerge from quantum TGD proper?
Some speculations related to the role of HFFs in TGD
Planar algebras and generalized Feynman diagrams
Jones inclusions and cognitive consciousness
Does one have a hierarchy of
M- and U-matrices?
Feynman diagrams as higher level particles and their scattering as dynamics of self consciousness
Logic, beliefs, and spinor fields in the world of classical worlds
Jones inclusions for hyperfinite factors of type II1 as a model for symbolic and cognitive representations
Intentional comparison of beliefs by topological quantum computation?
The stability of fuzzy qbits and quantum computation
Fuzzy quantum logic and possible anomalies in the
experimental data for the EPR-Bohm experiment
Category theoretic formulation for quantum measurement theory with finite measurement
About inclusions of
hyper-finite factors of type II1
Generalization from SU(2) to arbitrary compact group