Introduction
The notion of infinite prime
Generalization of ordinary number fields
Infinite primes and physics in TGD Universe
About literature
Infinite primes, integers, and rationals
The first level of hierarchy
Infinite primes form a hierarchy
Construction of infinite primes as a repeated quantization of a supersymmetric arithmetic quantum field theory
Construction in the case of an arbitrary commutative number field
Mapping of infinite primes to polynomials and geometric objects
How to order infinite primes?
What is the cardinality of infinite primes at given level?
How to generalize the concepts of infinite integer, rational and real?
/font> Comparison with the approach of Cantor
Generalizing the notion of infinite prime to the noncommutative context
Quaternionic and octonionic primes and their hyper counterparts
Hyperoctonionic infinite primes
Mapping of the hyperoctonionic infinite primes to polynomials
How to interpret the infinite hierarchy of infinite primes?
Infinite primes and hierarchy of supersymmetric arithmetic quantum field theories
The physical interpretation of infinite integers at the first level of the hierarchy
What is the interpretation of the higher level infinite primes?
Infinite primes and the structure of manysheeted spacetime
How infinite integers could correspond to padic effective topologies?
How infinite primes could correspond to quantum states and spacetime surfaces?
A brief summary about various moduli spaces and their symmetries
Associativity and commutativity or only their quantum variants?
The correspondence between infinite primes and standard model quantum numbers
How spacetime geometry could be coded by infinite primes
How to achieve consistency with padic mass formula
Complexification of octonions in zero energy ontology
The relation to number theoretic Brahman=Atman identity
Infinite primes and mathematical consciousness
Infinite primes, cognition and intentionality
The generalization of the notion of ordinary number field
Algebraic Brahman=Atman identity
One element field, quantum measurement theory and its qvariant, and the Galois fields associated with infinite primes
Leaving the world of finite reals and ending up to the ancient Greece
Infinite primes and mystic world view
Infinite primes and evolution
How infinite primes relate to other views about mathematical infinity?
Cantorian view about infinity
The notion of infinity in TGD Universe
What could be the foundations of physical mathematics?
Local zeta functions, Galois groups, and infinite primes

Zeta function and infinite primes
Local zeta functions and Weil conjectures
Local zeta functions and TGD
Galois groups, Jones inclusions, and infinite primes
Prime Hilbert spaces and infinite primes
Does the notion of infiniteP padicity make sense?
Does infiniteP padicity reduce to qadicity?
qAdic topology determined by infinite prime as a local topology of the configuration space
The interpretation of the discrete topology determined by infinite prime
A little crazy speculation about knots and infinite primes
Do knots correspond to the hierarchy of infinite primes?
Further speculations
The idea survives the most obvious killer test
How to realize the representation of the braid hierarchy in manysheeted spacetime?
