1. Introduction

  2. WCW as a union of homogenous or symmetric spaces

    1. Basic vision

    2. Equivalence Principle and WCW

    3. EP at quantum and classical level

    4. Criticism of the earlier construction

    5. Is WCW homogenous or symmetric space?

    6. Symplectic and Kac-Moody algebras as basic building bricks

  3. Updated view about Kähler geometry of WCW

    1. Kähler function, Kähler action, and connection with string models

    2. Symmetries of WCW

    3. Interior dynamics for fermions, the role of vacuum extremals,and dark matter

    4. Classical number fields and associativity and commutativity as fundamental law of physics

  4. About some unclear issues of TGD

    1. Adelic vision and symmetries

    2. Quantum-classical correspondence for fermions

    3. Strong form of holography for fermions

    4. The relationship between spinors in space-time interior and at boundaries between Euclidian and Minkoskian regions

    5. About second quantization of the induced spinor fields

    6. Is statistical entanglement "real"?

  5. About the notion of four-momentum in TGD framework

    1. Scale dependent notion of four-momentum in zero energy ontology

    2. Are the classical and quantal four-momenta identical?

    3. What Equivalence Principle (EP) means in quantum TGD?

    4. TGD-GRT correspondence and Equivalence Principle

    5. How translations are represented at the level of WCW?

    6. Yangian and four-momentum

  6. Generalization of AdS/CFT duality to TGD framework

    1. Does the exponent of Chern-Simons action reduce to the exponent of the area of minimal surfaces?

    2. Does Kähler action reduce to the sum of areas of minimal surfaces in effective metric?

    3. Surface area as geometric representation of entanglement entropy?

    4. Related ideas

    5. The importance of being light-like

  7. Could one define dynamical homotopy groups in WCW?

    1. About cobordism as a concept

    2. Prastaro's generalization of cobordism concept to the level of partial differential equations

    3. Why Prastaro's idea resonates so strongly with TGD

    4. What preferred extremals are?

    5. Could dynamical homotopy/homology groups characterize WCW topology?

    6. Appendix: About field equations of TGD in jet bundle formulation

  8. Twistor lift of TGD and WCW geometry

    1. Possible weak points of the earlier vision

    2. Twistor lift of TGD and ZEO

  9. Does 4-D action generate lower-dimensional terms dynamically?

    1. Can Option II generate separate 2-D action dynamically?

    2. Does 4-D action generate lower-dimensional terms dynamically?

      1. Can Option II generate separate 2-D action dynamically?

      2. Kähler calibrations: an idea before its time?

    3. Could metaplectic group have some role in TGD framework?

      1. Heisenberg group, symplectic group, and metaplectic group

      2. Symplectic group in TGD

      3. Kac-Moody type approach to representations of symplectic/metaplectic group

      4. Relationship to modular functions