caa a22 4500 467906726 CHVBK 20180406152836.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10701-006-9078-4 doi (NATIONALLICENCE)springer-10.1007/s10701-006-9078-4 Double-slit Interference and Temporal Topos [Elektronische Daten] [Goro Kato, Tsunefumi Tanaka] The electron double-slit interference is re-examined from the point of view of temporal topos. Temporal topos (or t-topos) is an abstract algebraic (categorical) method using the theory of sheaves. A brief introduction to t-topos is given. When the structural foundation for describing particles is based on t-topos, the particle-wave duality of electron is a natural consequence. A presheaf associated with the electron represents both particle-like and wave-like properties depending upon whether an object in the site (t-site) is specified (particle-like) or not (wave-like). It is shown that the localization of the electron at one of the slits is equivalent to choosing a particular object in the t-site and that the electron behaves as a wave when it passes through a double-slit because there are more than one object in the t-site. Also, the single-slit diffraction is interpreted as a result of the possibility of many different ways of factoring a morphism between two objects. Springer Science+Business Media, LLC, 2006 category theory nationallicence sheaves nationallicence temporal topos nationallicence double-slit interference nationallicence Kato Goro Mathematics Department, California Polytechnic State University, 93407, San Luis Obispo, CA, USA aut Tanaka Tsunefumi Physics Department, California Polytechnic State University, 93407, San Luis Obispo, CA, USA aut Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/11(2006-11-01), 1681-1700 0015-9018 36:11<1681 2006 36 10701 https://doi.org/10.1007/s10701-006-9078-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10701-006-9078-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kato Goro Mathematics Department, California Polytechnic State University, 93407, San Luis Obispo, CA, USA aut NATIONALLICENCE 700 1- Tanaka Tsunefumi Physics Department, California Polytechnic State University, 93407, San Luis Obispo, CA, USA aut NATIONALLICENCE 773 0- Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/11(2006-11-01), 1681-1700 0015-9018 36:11<1681 2006 36 10701 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer