Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mach's relativity of rotation in light of contemporary physics   Mach argued for a relational rather than an absolute notion of space,
insisting that centrifugal forces inside a rotating object such as a bucket can
be reproduced by keeping the bucket fixed and rotating the universe. In
response to a paper of ours denying the validity of Mach's views, Bhadra and
Das elaborate on Mach's position. We address several of their arguments and
show that Mach's relational notion of space is wrong-headed. Special and
general relativity distinguish between a bucket (i.e. any system) rotating in a
fixed universe and a bucket fixed in a rotating universe and between a
non-rotating bucket in a non-rotating universe and a co-rotating bucket in a
rotating universe, distinctions that go against Mach's relational theory of
space. Even when taken on its own terms, Mach's theory can apply only to single
point-like buckets rotating at infinitesimal angular velocities.

18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg