Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Observables associated with Einstein Localisation   The description of relativistic effects requires a preliminary definition of
events localised in space-time while the clocks used for time definition and
the fields used in synchronisation or localisation procedures are necessarily
quantum systems.
  We outline an algebraic framework where basic requirements of quantum theory
and relativity are consistently dealt with. This approach which may be termed
as a `quantum relativity' is built on the algebra of symmetries. It contains
the definition of quantum observables associated with Einstein localisation in
space-time as well as the evaluation of their commutation relations including
the energy-time relation. These commutators also describe the relativistic
shifts undergone under frame transformations, not only for inertial frames but
also for uniformly accelerated frames. The quantum redshift laws differ from
their classical counterparts while still obeying universal metric properties.
  The paper presents this approach in terms closely connected to the seminal
Einstein conception of localisation in space-time and refers to already
published papers for more technical developments.

34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
2
The categories of this paper are: math