Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A freely falling frame at the interface of gravitational and quantum
  realms   I briefly argue for logical necessity to incorporate, besides c, hbar, two
fundamental length scales in the symmetries associated with the interface of
gravitational and quantum realms. Next, in order to clear the proverbial bush,
I discuss the CPT and indistinguishability issue related to recent non-linear
deformations of special relativity and suggest why algebraically well-defined
extensions of special relativity do not require non-linear deformations. That
done, I suggest why the stable Snyder-Yang-Mendes Lie algebra should be
considered as a serious candidate for the symmetries underlying freely falling
frames at the interface of gravitational and quantum realms; thus echoing, and
complementing, arguments recently put forward by Chryssomalakos and Okon. In
the process I obtain concrete form of uncertainty relations which involve
above-indicated length scales and a new dimensionless constant. I draw
attention to the fact that because superconducting quantum interference devices
can carry roughly 10^{23} Cooper pairs in a single quantum state, Planck-mass
quantum systems already exist in the laboratory. These may be used for possible
exploration of the interface of the gravitational and quantum realms.

31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom