A Principle to Determine the Number (3 + 1) of Large Spacetime Dimensions

Oct, 2006
11 pages
Published in:
  • Phys.Lett.B 645 (2007) 365-368
e-Print:
Report number:
  • IMSC-2006-10-22

Citations per year

200620102014201820201302
Abstract:
We assume that our universe originated from highly excited and interacting strings with coupling constant g_s = {\cal O} (1). Fluctuations of spacetime geometry are large in such strings and the physics dictating the emergence of a final spacetime configuration is not known. We propose that, nevertheless, it is determined by an entropic principle that the final spacetime configuration must have maximum entropy for a given amount of energy. This principle implies, under some assumptions, that the spacetime configuration that emerges finally is a (3 + 1) -- dimensional FRW universe filled with w = 1 perfect fluid and with 6 -- dimensional compact space of size l_s: in particular, the number of large spacetime dimensions is d = 3 + 1. Such an universe may evolve subsequently into our universe, perhaps as in Banks -- Fischler scenario.
  • cosmological model
  • string: interaction
  • string model
  • supersymmetry
  • dimension: 10
  • entropy
  • space-time: Robertson-Walker