Abstract
The two-slit experiment for a massive scalar particle is described using quantum real numbers (qr-numbers) as the numerical values of the particle’s position and momentum. The model assigns physical reality to single quantum particles enabling it to describe the build up of the interference pattern. The qr-numbers are Dedekind real numbers in the topos of sheaves on the state space of the particle. Propositional truth values are given by open subsets of state space, each interpreted as the complete state of a single particle and called its condition. Each condition determines quantum real number values for all the particle’s attributes. The spatial locations of quantum particles form a non-classical spatial continuum such that a single particle can have a trajectory that passes through two classically separated slits while not being detectable in either slit. Questions about the behaviour of single particles, unanswered in the standard quantum description, are answered.
| Original language | English |
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| Title of host publication | Theoretical Physics and its new Applications |
| Editors | T. F. Kamalov |
| Place of Publication | Moscow |
| Publisher | Moscow Institute of Physics and Technology |
| Pages | 22-37 |
| Number of pages | 16 |
| ISBN (Print) | 9785741705193 |
| Publication status | Published - 2014 |
| Event | International Conference on Theoretical Physics (3rd : 2013) - Moscow, Russia Duration: 24 Jun 2013 → 28 Jun 2013 |
Conference
| Conference | International Conference on Theoretical Physics (3rd : 2013) |
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| City | Moscow, Russia |
| Period | 24/06/13 → 28/06/13 |
Keywords
- real numbers in a sheaf
- locatlity in quantum space
- quantum measurement