Double-slit Interference and Temporal Topos

Foundations of Physics 36 (11):1681-1700 (2006)

Abstract
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
Keywords category theory  sheaves  temporal topos  double-slit interference
Categories (categorize this paper)
DOI 10.1007/s10701-006-9078-4
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 38,955
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Ultrapowers as Sheaves on a Category of Ultrafilters.Jonas Eliasson - 2004 - Archive for Mathematical Logic 43 (7):825-843.
Retrocausation Acting in the Single-Electron Double-Slit Interference Experiment.Noboru Hokkyo - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (4):762-766.
A Note on the 'Quantum Eraser'.William Seager - 1996 - Philosophy of Science 63 (1):81-90.
What Do Freyd's Toposes Classify?Peter Johnstone - 2013 - Logica Universalis 7 (3):335-340.
On Visibility in the Afshar Two-Slit Experiment.R. E. Kastner - 2009 - Foundations of Physics 39 (10):1139-1144.

Analytics

Added to PP index
2013-11-22

Total views
31 ( #235,618 of 2,319,369 )

Recent downloads (6 months)
10 ( #101,588 of 2,319,369 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature