Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex dimensions and their observability   We show that the dimension of spacetime becomes complex-valued when its
short-scale geometry is invariant under a discrete scaling symmetry. This
characteristic can generically arise in quantum gravities, for instance, in
those based on combinatorial or multifractal structures or as the partial
breaking of continuous dilation symmetry in any conformal-invariant theory.
With its infinite scale hierarchy, discrete scale invariance overlaps with the
traditional separation between ultraviolet and infrared physics and it can
leave an all-range observable imprint, such as a pattern of log oscillations
and sharp features in the cosmic microwave background primordial power
spectrum.

27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph