1. Introduction

    1. The painting is the landscape

    2. Real and p-adic regions of the space-time as geometric correlates of matter and mind

    3. The generalization of the notion of number

    4. Zero energy ontology, cognition, and intentionality

    5. What number theoretical universality might mean?

    6. p-Adicization by algebraic continuation

    7. For the reader

  2. How p-adic numbers emerge from algebraic physics?

    1. Basic ideas and questions

    2. Are more general adics indeed needed?

    3. Why completion to p-adics necessarily occurs?

    4. Decomposition of space-time to ...-adic regions

    5. Universe as an algebraic hologram?

    6. How to assign a p-adic prime to a given real space-time sheet?

    7. Gaussian and Eisenstein primes and physics

    8. p-Adic length scale hypothesis and hyper-quaternionic and quaternionic primality primality

  3. Scaling hierarchies and physics as a generalized number theory

    1. p-Adic physics and the construction of solutions of field equations

    2. A more detailed view about how local p-adic physics codes for p-adic fractal long range correlations of the real physics

    3. Cognition, logic, and p-adicity

    4. Fibonacci numbers, Golden Mean, and Jones inclusions

  4. The recent view about quantum TGD

    1. Basic notions

    2. The most recent vision about zero energy ontology

    3. Configuration space geometry

    4. The identification of number theoretic braids

    5. Finite measurement resolution and reduced configuration space

    6. Does reduced configuration space allow TGD Universe to act as a universal math machine?

    7. Configuration space Kähler function as Dirac determinant

  5. p-Adicization at the level of imbedding space and space-time

    1. p-Adic variants of the imbedding space

    2. p-Adicization at the level of space-time

    3. p-Adicization of second quantized induced spinor fields

  6. p-Adicization at the level of configuration space

    1. Generalizing the construction of the configuration space geometry to the p-adic context

    2. Configuration space functional integral

    3. Number theoretic constraints on M-matrix

  7. Weak form of electric-magnetic duality and its implications

    1. Could a weak form of electric-magnetic duality hold true?

    2. Magnetic confinement, the short range of weak forces, and color confinement

    3. Could Quantum TGD reduce to almost topological QFT?

  8. How to define Feynman diagrams?

    1. Questions

    2. Generalized Feynman diagrams at fermionic and momentum space level

    3. How to define integration and p-adic Fourier analysis and p-adic counterparts of geometric objects?

    4. Harmonic analysis in WCW as a manner to calculate WCW functional integrals

  9. Appendix: Basic facts about algebraic numbers, quaternions and octonions

    1. Generalizing the notion of prime

    2. UFDs, PIDs and EDs

    3. The notion of prime ideal

    4. Examples of two-dimensional algebraic number fields

    5. Cyclotomic number fields as examples of four-dimensional algebraic number fields

    6. Quaternionic primes

    7. Imbedding space metric and vielbein must involve only rational functions