1. Introduction

    1. Physics as infinite-dimensional Kähler geometry

    2. p-Adic physics as physics of cognition and intentionality

    3. Hierarchy of Planck constants and dark matter hierarchy

    4. Number theoretical symmetries

  2. Symmetries

    1. General Coordinate Invariance and generalized quantum gravitational holography

    2. Light like 3-D causal determinants and effective 2-dimensionality

    3. Magic properties of light cone boundary and isometries of WCW

    4. Symplectic transformations of δM4+/-× CP2 as isometries of WCW

    5. Does the symmetric space property correspond to coset construction for Super Virasoro algebras?

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

    7. Comparison of TGD and stringy views about super-conformal symmetries

  3. 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

    7. WCW as a union of symmetric spaces

    8. Isometries of WCW geometry as symplectic transformations of δM4+/-× CP2

    9. SUSY algebra defined by the anti-commutation relations of fermionic oscillator operators and WCW local Clifford algebra elements as chiral super-fields

    10. Identification of Kac-Moody symmetries

    11. Coset space structure for WCW as a symmetric space

    12. The relationship between super-symplectic and Super Kac-Moody algebras, Equivalence Principle, and justification of p-adic thermodynamics

  4. Are both symplectic and conformal field theories needed?

    1. Symplectic QFT at sphere

    2. Symplectic QFT with spontaneous breaking of rotational and reflection symmetries

    3. Generalization to quantum TGD