We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Big Bang and Topology.
- Authors
Asselmeyer-Maluga, Torsten; Król, Jerzy; Wilms, Alissa
- Abstract
In this paper, we discuss the initial state of the universe at the Big Bang. By using the ideas of Freedman in the proof of the disk embedding theorem for 4-manifolds, we describe the corresponding spacetime as a gravitational instanton. The spatial space is a fractal space (wild embedded 3-sphere). Then, we construct the quantum state from this fractal space. This quantum state is part of the string algebra of Ocneanu. There is a link between the Jones polynomial and Witten's topological field theory. Using this link, we are able to determine the physical theory (action) as the Chern–Simons functional. The gauge fixing of this action determines the foliation of the spacetime and the smoothness properties. Finally, we determine the quantum symmetry of the quantum state to be the enveloped Lie algebra U q (s l 2 (C)) , where q is the fourth root of unity.
- Subjects
QUANTUM states; TOPOLOGICAL fields; TOPOLOGY; LIE algebras; EMBEDDING theorems; OPERATOR algebras
- Publication
Symmetry (20738994), 2022, Vol 14, Issue 9, p1887
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym14091887