Introduction
The painting is
the landscape
Real and padic
regions of the spacetime as geometric correlates of matter and
mind
The
generalization of the notion of number
Zero energy ontology,
cognition, and intentionality
What number theoretical universality might mean?
pAdicization by algebraic continuation
For the reader
How padic numbers
emerge from algebraic physics?
Basic ideas and
questions
Are more general
adics indeed needed?
Why completion
to padics necessarily occurs?
Decomposition of
spacetime to ...adic regions
Universe as an
algebraic hologram?
How to assign a
padic prime to a given real spacetime sheet?
Gaussian and
Eisenstein primes and physics
pAdic length
scale hypothesis and hyperquaternionic and quaternionic primality
primality
Scaling hierarchies and physics as a generalized
number theory
pAdic physics and
the construction of solutions of field equations
A more detailed view about how local padic physics codes for padic fractal long range
correlations of the real physics
Cognition, logic, and padicity
Fibonacci numbers, Golden Mean, and Jones inclusions
The recent view about quantum TGD
Basic notions
The most recent vision about zero energy ontology
Configuration space geometry
The identification of number theoretic braids
Finite measurement resolution and reduced configuration space
Does reduced configuration space allow TGD Universe to act as a universal math machine?
Configuration space Kähler function as Dirac determinant
pAdicization at the level of imbedding space and spacetime
pAdic variants of the imbedding space
pAdicization at the level of spacetime
pAdicization of second quantized induced spinor fields
pAdicization at the level of configuration space
Generalizing the construction of the configuration space geometry to the padic context
Configuration space functional integral
Number theoretic constraints on Mmatrix
Weak form of electricmagnetic duality and its implications
Could a weak form of electricmagnetic duality hold true?
Magnetic confinement, the short range of weak forces, and color confinement
Could Quantum TGD reduce to almost topological QFT?
How to define Feynman diagrams?
Questions
Generalized Feynman diagrams at fermionic and momentum space level
How to define integration and padic Fourier analysis and padic counterparts of geometric objects?

Harmonic analysis in WCW as a manner to calculate WCW functional integrals
Appendix: Basic
facts about algebraic numbers, quaternions and octonions
Generalizing the
notion of prime
UFDs, PIDs and
EDs
The notion of
prime ideal
Examples of
twodimensional algebraic number fields
Cyclotomic
number fields as examples of fourdimensional algebraic number
fields
Quaternionic
primes
Imbedding space metric and vielbein must
involve only rational functions
