Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric Number Systems and Spinors   The real number system is geometrically extended to include three new
anticommuting square roots of plus one, each such root representing the
direction of a unit vector along the orthonormal coordinate axes of Euclidean
3-space. The resulting geometric (Clifford) algebra provides a geometric basis
for the famous Pauli matrices which, in turn, proves the consistency of the
rules of geometric algebra. The flexibility of the concept of geometric numbers
opens the door to new understanding of the nature of space-time, and of Pauli
and Dirac spinors as points on the Riemann sphere, including Lorentz boosts.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph