Hydrogen-like Spectrum of Spontaneously Created Brane Universes with deSitter Ground State

TL;DR

This paper explores a brane universe model with a deSitter ground state, revealing a spectrum akin to hydrogen atoms, where universe creation and stability depend on quantized surface tension and scalar field potentials.

Contribution

It introduces a novel brane cosmology framework unifying Randall-Sundrum and Regge-Teitelboim models, with a quantized spectrum of universe states influenced by scalar field potentials.

Findings

Quantized brane surface tension spectrum resembles hydrogen atom levels.

DeSitter universe acts as the ground state in the spectrum.

Finite energy density initial conditions lead to universe creation with specific stability properties.

Abstract

Unification of Randall-Sundrum and Regge-Teitelboim brane cosmologies gives birth to a serendipitous Higgs-deSitter interplay. A localized Dvali-Gabadadze-Porrati scalar field, governed by a particular (analytically derived) double-well quartic potential, becomes a mandatory ingredient for supporting a deSitter brane universe. When upgraded to a general Higgs potential, the brane surface tension gets quantized, resembling a Hydrogen atom spectrum, with deSitter universe serving as the ground state. This reflects the local/global structure of the Euclidean manifold: From finite energy density no-boundary initial conditions, via a novel acceleration divide filter, to exact matching conditions at the exclusive nucleation point. Imaginary time periodicity comes as a bonus, with the associated Hawking temperature vanishing at the continuum limit. Upon spontaneous creation, while a finite number of levels describe universes dominated by a residual dark energy combined with damped matter oscillations, an infinite tower of excited levels undergo a Big Crunch.