How do we know that physical spacetime in cosmology is smooth and 4-dimensional? Cover Image

Czy wiemy dlaczego czasoprzestrzeń na dużych skalach jest gładka i 4-wymiarowa?
How do we know that physical spacetime in cosmology is smooth and 4-dimensional?

Author(s): Jerzy Król
Subject(s): Logic, Special Branches of Philosophy, Philosophy of Science
Published by: Copernicus Center Press
Keywords: quantum mechanics; Boolean-valued models of set theory; exotic smoothness on R4; physics;cosmology;

Summary/Abstract: Even though the description of the universe in cosmology is known to be given by a smooth 4-dimensional Lorentz manifold for energies below Planck scale, one still can ask about the origins of this phenomenon. In this paper we show that mathematics used for description of quantum systems at micro scale determines smoothness of spacetime at large cosmological scales and indicates the dimension 4 as the only possible dimension for spacetime.

  • Issue Year: 2017
  • Issue No: 63
  • Page Range: 101-111
  • Page Count: 11
  • Language: Polish