Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Space-Time Quasicrystal Structures and Inflationary and Late Time
  Evolution Dynamics in Accelerating Cosmology   We construct new classes of cosmological solutions in modified and Einstein
gravity theories encoding space-time quasicrystal, STQC, configurations
modelled by nonlinear self-organized and pattern forming quasi-periodic
structures. Such solutions are defined by generic off-diagonal locally
anisotropic and inhomogeneous metrics depending via generating and integration
functions on all spacetime coordinates. There are defined nonholonomic
variables and conditions for the generating/integration functions and sources
for effective descriptions, or approximations, as "quasi"
Friedmann-Lama\^itre-Robertson-Walker (FLRW) metrics. Such (off-) diagonal
STQC-FLRW configurations contain memory on nonlinear classical and/or quantum
interactions and may describe new acceleration cosmology scenarios. For special
time-periodic conditions on nonlinear gravitational and matter field
interactions, we can model at cosmological scales certain analogous of time
crystal like structures originally postulated by Frank Wilczek in condensed
matter physics. We speculate how STQC quasi-FLRW configurations could explain
modern cosmology data and provide viable descriptions for the inflation and
structure formation in our Universe. Finally, it is discussed systematically
and critically how a unified description of inflation with dark energy era can
be explained by (modified) cosmological STQC-scenarios.

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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: math
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph