Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Construct of Dynamics, Space and Gravity from Loops   An attempt is made to construct space and obtain dynamics from Loop Algebras
and their elements. We define three new products between loops namely 'Vertical
Product', 'Horizontal Product' and 'Total Product'. As for the dynamics, we
obtain corresponding "velocity" and "canonical momenta" from it. Also, we build
a new "Energy Variable" that is dependent on the velocity and momentum alone.
Then, we apply the loop constructs to General Relativity and arrive at the
Einstein Field Equations, although presented in a different form. The key
feature of this formalism is that the metric is not arbitarized as prevalent on
the space beforehand but is rather induced by restricting the Killing Form to
the Cartan Sub-algebra of the underlying Lie Algebra. Then we go on to show
that "Dynamics is Structure" and that both do not depend on length or time.

1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics