- Tytuł:
- The closed Friedman world model with the initial and final singularities as a non-commutative space
- Autorzy:
-
Heller, Michael
Sasin, Wiesław - Powiązania:
- https://bibliotekanauki.pl/articles/1342663.pdf
- Data publikacji:
- 1997
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
singularities
Friedman cosmology
non-commutative geometry - Opis:
- The most elegant definition of singularities in general relativity as b-boundary points, when applied to the closed Friedman world model, leads to the disastrous situation: both the initial and final singularities form the single point of the b-boundary which is not Hausdorff separated from the rest of space-time. We apply Alain Connes' method of non-commutative geometry, defined in terms of a C*-algebra, to this case. It turns out that both the initial and final singularities can be analysed as representations of the C*-algebra in a Hilbert space. The method does not distinguish points in space-time, but identifies space slices of the closed Friedman model as states of the corresponding C*-algebra.
- Źródło:
-
Banach Center Publications; 1997, 41, 1; 153-161
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł