- Title
- Quantum non-locality and the nature of space and time
- Creator
- Smrz, P. K.
- 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
- Publisher
- Societa Italiana di Fisica (Italian Physical Society)
- Resource Type
- journal article
- Date
- 2007
- 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.
- Subject
- gravity in more than four dimensions; Kaluza-Klein theory; unified field theories; alternative theories of gravity; foundations of quantum mechanics; measurement theory
- Identifier
- http://hdl.handle.net/1959.13/33880
- Identifier
- uon:3344
- Identifier
- ISSN:1594-9982
- Language
- eng
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