Quantum mechanics before the big bang in heterotic-M-theory

Abstract

In this letter we investigate the role played by quantum mechanics before the big-bang in heterotic-M-theory assuming an orbifold compactification of time. As we will see particles are localized around a black hole but only in regions where a constructive quantum interference takes place. We infer that the creation of this interference pattern is interesting for many reasons: (A) it is a mechanism to localize particles on $S^4$ branes; (B) the Casimir potential for the dilaton can be interpreted as a gravitational effective potential for a two-body problem; (C) the quantum interference is a new way to define the branes in heterotic-M-theory. Remarkably, a modified Schroedinger equation is obtained. The stabilization of the branes' position is related to the absence of a cosmological singularity.

arXiv comment10 pages

References in corpus (12)

• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Pre-Big-Bang in String Cosmology
• The Pre-Big Bang Scenario in String Cosmology
• Heterotic M-theory in Five Dimensions
• Chameleon Field Theories
• Cosmological Evolution of Brane World Moduli
• Lectures on String Theory
• Neutrino Dark Energy and Moduli Stabilization in a BPS Braneworld Scenario
• Chameleonic dilaton, nonequivalent frames, and the cosmological constant problem in quantum string theory
• Chameleonic dilaton and conformal transformations
• Species, chameleonic strings and the concept of particle
• The cosmological constant problem in heterotic-M-theory and the orbifold of time