Configurational Entropy and Newton's Law in Double Sine-Gordon
Braneworlds
ANNALEN DER PHYSIK, (2019)DOI: 10.1002/andp.201900178, Early Access Date = AUG 2019
Abstract
The Shannon-like entropic measure of spatially localized functions for a
5D braneworld generated by a double sine-Gordon (DSG) potential is
evaluated. The differential configurational entropy (DCE) has been shown
in several recent works to be a configurational informational measure
(CIM) that selects critical points and brings out phase transitions in
confined energy models with arbitrary parameters. The DSG scenario is
selected because it presents an energy-degenerate spatially localized
profile where the solutions to the scalar field demonstrate critical
behavior that is only a result of geometrical effects. As is shown, the
DCE evaluation provides a method for predicting the existence of a
transition between the phases of the domain wall solutions. Moreover,
the entropic measure reveals information about the model that is capable
of describing the phase sector where resonance modes on the massive
spectra of the graviton is obtained. The graviton resonance lifetimes
are related to the existence of scales on which 4D gravity is recovered.
Thus, the critical points defined by the CIMs with the existence of
resonances and their lifetimes are correlated. To extend the research
regarding this system, the corrections to Newton's law coming from the
graviton modes are calculated.