## Physics as Infinite-dimensional Geometry and Generalized Number Theory: Basic Visions

**Authors:** Matti Pitkänen

There are two basic approaches to the construction of quantum TGD. The first approach
relies on the vision of quantum physics as infinite-dimensional Kähler geometry for the "world of
classical worlds" identified as the space of 3-surfaces in in certain 8-dimensional space. Essentially
a generalization of the Einstein's geometrization of physics program is in question. The second
vision is the identification of physics as a generalized number theory. This program involves
three threads: various p-adic physics and their fusion together with real number based physics
to a larger structure, the attempt to understand basic physics in terms of classical number fields
(in particular, identifying associativity condition as the basic dynamical principle), and infinite
primes whose construction is formally analogous to a repeated second quantization of an arithmetic
quantum field theory. In this article brief summaries of physics as infinite-dimensional geometry
and generalized number theory are given to be followed by more detailed articles.

**Comments:** 33 Pages.

**Download:** **PDF**

### Submission history

[v1] 16 Jun 2010

[v2] 2012-01-30 22:06:21

**Unique-IP document downloads:** 407 times

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