2006/11/30 by S. Horata, Shinichi Horata, T. Yukawa +1
Mathematics · Physics and Astronomy · #Anisotropy #Black Holes and Theoretical Physics #Boundary (topology) #Classical mechanics #Cosmic microwave background #Cosmology and Gravitation Theories #Curvature #Geodesic #Geometry #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Scalar (mathematics) #Shape of the universe #Simplicial manifold #Surface (topology) #Theoretical physics #Topology (electrical circuits) #Universe #hep-th
paper · pdf · doi:10.1143/jpsj.76.074101
published as J.Phys.Soc.Jap.76:074101,2007 · 27pages,18figures,using jpsj.sty
arxiv created 2006/12/06 · openalex publication_date 2007/07/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/08
For understanding the origin of anisotropies in the cosmic microwave background, rules to construct a quantized universe is proposed based on the dynamical triangulation method of the simplicial quantum gravity. A d-dimensional universe having the topology Dd is created numerically in terms of a simplicial manifold with d-simplices as the building blocks. The space coordinates of a universe are identified on the boundary surface Sd-1 , and the time coordinate is defined along the direction perpendicular to Sd-1 . Numerical simulations are made mainly for 2-dimensional universes, and analyzed to examine appropriateness of the construction rules by comparing to analytic results of the matrix model and the Liouville theory. Furthermore, a simulation in 4-dimension is made, and the result suggests an ability to analyze the observations on anisotropies by comparing to the scalar curvature correlation of a S2 -surface formed as the last scattering surface in the S3 universe.