Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Einstein, Weyl and Asymmetric Geometries   In a previous paper, we presented new results on non-Riemannian geometry. For
an asymmetric connection, we showed that a projective change in the symmetric
part generates a vector field that is not arbitrary, but is the gradient of a
non-arbitrary scalar field. As a consequence, Weyl's geometry is a conformal
differential geometry and is associated with asymmetric geometry by this
projective change. In the present paper, important differences between
light-like and non-light-like intervals are analysed. We show that
integrability condition in Weyl's geometry implies microscopic spacetime
oscillations of Weyl's and Einstein's geometries. We show that the
integrability condition in Weyl's geometry, together with the condition that
null and massive particles interact locally in an Einstein spacetime. We
construct an equation for linear transverse waves and make a qualitative
application in a hydrogen atom, which, from qualitative viewpoint, agrees with
Bohr's hydrogen model and Schrodinger's quantum mechanics.

10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg