@article{oai:ir.soken.ac.jp:00003633, author = {洞田, 慎一 and HORATA, Shinichi and YUKAWA, Tetsuyuki}, issue = {1}, journal = {Journal of Physics: Conference Series, Journal of Physics: Conference Series}, month = {Apr}, note = {application/pdf, A numerical formulation of d-dimensional quantum gravity on R × Sd−1 is developed based on the d-dimensional dynamical triangulation method. It provides tools to analyze space-time properties of the (d − 1)-dimensional space with sphere topology along the direction R, in which time coordinate can be defined naturally. As examples, we show numerical results of the 2-dimensional (R × S) model, and compare with the matrix model. Furthermore, we measure the 2-space point correlation function on the last scattering surface of 3-dimensional space S3, and compare it to the CMB anisotropy observation results of COBE and WMAP. The numerical simulation exhibits the inflation without any additional fields, and the quantized space-time possesses properties required from observations.}, pages = {321--329}, title = {Discrete space formulation of quantum geometry on R × Sd-1}, volume = {33}, year = {2006} }