Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crystallization of space: Space-time fractals from fractal arithmetic   Fractals such as the Cantor set can be equipped with intrinsic arithmetic
operations (addition, subtraction, multiplication, division) that map the
fractal into itself. The arithmetics allows one to define calculus and algebra
intrinsic to the fractal in question, and one can formulate classical and
quantum physics within the fractal set. In particular, fractals in space-time
can be generated by means of homogeneous spaces associated with appropriate Lie
groups. The construction is illustrated by explicit examples.

6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics