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Title: Dimension 4 : quantum origins of spacetime smoothness
Authors: Król, Jerzy
Klimasara, Paweł
Bielas, Krzysztof
Asselmeyer-Maluga, Torsten
Keywords: kosmologia; czasoprzestrzeń; mechanika kwantowa; wszechświat
Issue Date: 2017
Citation: Acta Physica Polonica B, Vol. 48, no. 12 (2017), s. 2375-2380
Abstract: We further develop recently proposed cosmological model based on exotic smoothness structures in dimension 4 and Boolean-valued models of Zermelo–Fraenkel set theory. The approach indicates quantum origins of large-scale smoothness and justifies the dimension 4 as the unique dimension for a spacetime. Of particular importance is the hyperbolic geometry of exotic R4 submanifolds of codimensions 1 and 0. It is argued that the global 4-dimensional manifold representing the Universe beyond the present observational scope is the direct sum of complex surfaces K3#CP(2).
DOI: 10.5506/APhysPolB.48.2375
ISSN: 0587-4254
Appears in Collections:Artykuły (WNŚiT)

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