COBE satellite measurement, hyperspheres, superstrings and the dimension of spacetime.
Abstract
The first part of the paper attempts to establish connections between hypersphere backing in infinite dimensions, the expectation value of dimE(∞) spacetime and the COBE measurement of the microwave background radiation. One of the main results reported here is that the mean sphere in S(∞) spans a four dimensional manifold and is thus equal to the expectation value of the topological dimension of E(∞). In the second part the author introduces within a general theory, a probabilistic justification for a compactification which reduces an infinite dimensional spacetime E(∞) (n = ∞) to a four dimensional one (DT = n = 4).
- Publication:
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Chaos Solitons and Fractals
- Pub Date:
- August 1998
- DOI:
- 10.1016/S0960-0779(98)00120-9
- Bibcode:
- 1998CSF.....9.1445E
- Keywords:
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- Cosmic Microwave Background: Superstrings