caa a22 4500 467906157 CHVBK 20180406152834.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s10701-006-9087-3 doi (NATIONALLICENCE)springer-10.1007/s10701-006-9087-3 Król Jerzy Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007, Katowice, Poland aut A Model for Spacetime II. The Emergence of Higher Dimensions and Field Theory/Strings Dualities [Elektronische Daten] [Jerzy Król] We show that in 4-spacetime modified at very short distances due to the weakening of classical logic, the higher dimensions emerge. We analyse the case of some smooth topoi, and the case of some class of pointless topoi. The pointless topoi raise the dimensionality due to the forcing adding "string” objects and thus replacing classical points in spacetime. Turning to strings would be something fundamental and connected with set theoretical forcing. The field theory/strings dualities originate at the set theoretical level of the theories. It is argued that this fundamental level can help solving some difficulties of the physical dualities. Springer Science+Business Media, LLC, 2006 topos theory nationallicence forcing nationallicence general relativity nationallicence spacetime structure nationallicence Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/12(2006-12-01), 1778-1800 0015-9018 36:12<1778 2006 36 10701 https://doi.org/10.1007/s10701-006-9087-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10701-006-9087-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Król Jerzy Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007, Katowice, Poland aut NATIONALLICENCE 773 0- Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/12(2006-12-01), 1778-1800 0015-9018 36:12<1778 2006 36 10701 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer