General Coordinate Invariance and generalized quantum gravitational holography
Light like 3-D causal determinants and effective 2-dimensionality
Magic properties of light cone boundary and isometries of WCW
Symplectic transformations of δ M4_+× CP_2 as isometries of WCW
Does the symmetric space property reduce to coset construction for Super Virasoro algebras?
What effective 2-dimensionality and holography really mean?
Attempts to identify WCW Hamiltonians
For the reader
How to generalize the construction of WCW geometry to take into account the classical non-determinism?
Quantum holography in the sense of quantum gravity theories
How the classical determinism fails in TGD?
The notions of imbedding space, 3-surface, and configuration space
The treatment of non-determinism of Kähler action in zero energy ontology
Category theory and WCW geometry
Identification of the symmetries and coset space structure of WCW
Reduction to the light cone boundary
WCW as a union of symmetric spaces
Why complexification is needed?
The metric, conformal and symplectic structures of the light cone boundary
Complexification and the special properties of the light cone boundary
How to fix the complex and symplectic structures in a Lorentz invariant manner?
The general structure of the isometry algebra
Representation of Lorentz group and conformal symmetries at light cone boundary
How the complex eigenvalues of the radial scaling operator relate to symplectic conformal weights?
Magnetic and electric representations of the configuration space Hamiltonians
Radial symplectic invariants
Kähler magnetic invariants
Isometry invariants and spin glass analogy
Magnetic flux representation of the symplectic algebra
Symplectic transformations of δ M4+/-
Quantum counterparts of the symplectic Hamiltonians
General expressions for the symplectic and Kähler forms
Matrix elements of the symplectic form as Poisson brackets
General expressions for Kähler form, Kähler metric and Kähler function
Diff(X3) invariance and degeneracy and conformal invariances of the symplectic form
Complexification and explicit form of the metric and Kähler form
Comparison of CP2 Kähler geometry with configuration space geometry
Comparison with loop groups
Symmetric space property implies Ricci flatness and isometric action of symplectic transformations
Ricci flatness and divergence cancelation
Inner product from divergence cancelation
Why Ricci flatness
Ricci flatness and Hyper Kähler property
The conditions guaranteeing Ricci flatness
Is WCW metric Hyper Kähler?