Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/33880

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Title
Quantum non-locality and the nature of space and time
Author/Creator
Smrz, P. K.
Institution
The University of Newcastle. Faculty of Engineering & Built Environment, School of Engineering
Description
A geometrical construction of a four-dimensional space-time from a torsion-free linear metric connection on a five-dimensional manifold M is described, based on a partially fixed reference cross-section of the bundle of frames of M. It is shown that the connection of M satisfies a generally invariant equation containing a fundamental length, while the space-time connection satisfies the Einstein vacuum equations. Dependence on the Schwarzschild solution on the choice of the reference cross-section of M is investigated. When the fundamental constant has the value of the Planck length and the chosen reference cross-section eliminates the spatial dimensions of the constructed observable space, the Schwarzschild solution leads to the rotation exp[itmc²/h], thus establishing a link between the classical and the quantum descriptions of a particle at rest.
Relation
Nuovo Cimento Della Societa Italiana Di Fisica B: General Physics Relativity Astronomy and Mathematical Physics and Methods Vol. 122, Issue 1, p. 75-87
Publisher Link
http://dx.doi.org/10.1393/ncb/i2007-10041-4
Date
2007
Publisher
Societa Italiana di Fisica (Italian Physical Society)
Keyword(s)
gravity in more than four dimensions;  Kaluza-Klein theory;  unified field theories;  alternative theories of gravity;  foundations of quantum mechanics;  measurement theory
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/33880
Identifier
ISSN:1594-9982
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Subject
"Nuovo Cimento Della Societa Italiana Di Fisica B: General Physics Relativity Astronomy and Mathematical Physics and Methods"
 
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