Topology, the Vaccum and the Cosmological Constant

Mathematics – Logic

Scientific paper

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Scientific paper

If the topology of space is multi-connected, rather than simply connected as it is most often assumed, this would cause a major revolution in cosmology, and a huge progress in the knowledge of our world (see the review paper by Lachièze-Rey & Luminet, 1995, hereafter LaLu). This would set new constraints and ask new questions on the physics of the primordial universe. Why space is multi-connected? What has determined its principal directions and the values of its spatial dimensions? The links between cosmology and quantum physics would be modified, in particular the question of the vacuum energy and of the cosmological constant.

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