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The closed Friedman world model with the initial and final singularities as a non-commutative space

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Heller M., Sasin W.

Banach Center Publications

1997

tom 41

nr 1

153-161

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.

Ograniczanie wyników

1 Banach Center Publications

1 Heller M.

1 Sasin W.

1 1997

Wyniki wyszukiwania

The closed Friedman world model with the initial and final singularities as a non-commutative space