Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expansion Lensing (I) -- A new paradigm for cosmological
  luminosity-angular distances relation   The Einstein's General Relativity (GR) theory and the
Friedmann-Lemaitre-Robertson-Walker (FLRW) metrics define the main equations
that rule the history and future of the Universe. The Standard Model for
cosmology collects this knowledge along with some other elements as
cosmological distances. The link between the theory and observations is
performed through some basic cosmological distances definitions as transverse
comoving distance $D_M$, luminosity distance $D_L$, angular diameter distance
$D_A$ and its relation $D_L=D_A(1+z)^2$. In this paper, Expansion Lensing (EL)
is presented. EL is a novel paradigm revealing a new relationship between $D_L$
and $D_A$ in an expanding universe given by $D_L=D_A(1+z)$. EL demonstrates the
inverse square law within the FLRW geometry, i.e., the equivalence between
transversal comoving distance and luminosity distance. On the other hand, a new
surface brightness-luminosity relation -- different from the one proposed by
Tolman -- is derived from Cosmic Microwave Background (CMB) equations,
providing an independent derivation of the new paradigm. As a consequence,
previous cosmology methods and results entrusting on luminosity as
observational data must be reviewed. The expansion rate and the relative
densities of the dark components of the Universe, as dark matter}and dark
energy, should be revised within the new paradigm.

18
The categories of this paper are: econ
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas