Spacetime Emergence of the Robertson-Walker Universe from a Matrix Model

Journal Article · Fri Jun 29 04:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.98.261301· OSTI ID:20953361

Erdmenger, Johanna; Meyer, Rene ^[1]; Park, Jeong-Hyuck ^[1]

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1. Max-Planck-Institut fuer Physik, 80805 Munich (Germany)

Using a novel, string theory-inspired formalism based on a Hamiltonian constraint, we obtain a conformal mechanical system for the spatially flat four-dimensional Robertson-Walker Universe. Depending on parameter choices, this system describes either a relativistic particle in the Robertson-Walker background or metric fluctuations of the Robertson-Walker geometry. Moreover, we derive a tree-level M theory matrix model in this time-dependent background. Imposing the Hamiltonian constraint forces the spacetime geometry to be fuzzy near the big bang, while the classical Robertson-Walker geometry emerges as the Universe expands. From our approach, we also derive the temperature of the Universe interpolating between the radiation and matter dominated eras.

• OSTI ID: 20953361
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 26 Vol. 98; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL MODELS
FOUR-DIMENSIONAL CALCULATIONS
FUZZY LOGIC
HAMILTONIANS
RELATIVISTIC RANGE
SPACE-TIME
STRING THEORY
TIME DEPENDENCE
UNIVERSE