Abstract
In this work we obtain bounds on the topological Abelian string-vortex
and on the string-cigar, by using a new measure of configurational
complexity, known as configurational entropy. In this way, the
information-theoretical measure of six-dimensional braneworlds scenarios
is capable to probe situations where the parameters responsible for the
brane thickness are arbitrary. The so-called configurational entropy
(CE) selects the best value of the parameter in the model. This is
accomplished by minimizing the CE, namely, by selecting the most
appropriate parameters in the model that correspond to the most
organized system, based upon the Shannon information theory. This
information-theoretical measure of complexity provides a complementary
perspective to situations where strictly energy-based arguments are
inconclusive. We show that the higher the energy the higher the CE, what
shows an important correlation between the energy of the a localized
field configuration and its associated entropic measure. (C) 2016 The
Authors. Published by Elsevier B.V. This is an open access article under
the CC BY license.
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