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  • 1
    Electronic Resource
    Electronic Resource
    FINSLERIAN QUANTUM FIELDS AND MICROCAUSALITY (2000)
    Springer
    Foundations of physics 13 (2000), S. 307-328 
    Details
    ISSN: 1572-9524
    Keywords: quantum field theory ; microcausality ; Finslerian fields ; spacetime tangent bundle ; maximal proper acceleration ; Planck scale
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Microcausality is addressed for a class of Finslerian quantum fields in Minkowski spacetime by the calculation of the appropriate field commutators. It is demonstrated that, provided the adjoint field is consistently generalized, the necessary commutators are vanishing, and the field is microcausal. There are, however, Planck-scale modifications of the causal domain, but they only become significant for extremely large relative four-velocities at the separated spacetime points. For vanishing relative four-velocities, the causal domain is canonical.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007871326346
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    CAUSAL DOMAIN OF MINKOWSKI-SPACETIME TANGENT BUNDLE (2000)
    Springer
    Foundations of physics 13 (2000), S. 581-588 
    Details
    ISSN: 1572-9524
    Keywords: quantum field theory ; microcausality ; Finslerian fields ; spacetime tangent bundle ; maximal proper acceleration ; Planck scale
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The geometry of the causal domain of the spacetime tangent bundle is examined for Finslerian quantum fields in Minkowski spacetime. The Planck-scale structure of the boundary of the causal domain is elaborated. The geometry indicates that at the Planck scale, causal connectivity of Finslerian quantum fields may occur between spacelike separated points, and also at larger scales for extremely large relative four-velocities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007862431369
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Structure of spacetime tangent bundle (1991)
    Springer
    Foundations of physics 4 (1991), S. 523-536 
    Details
    ISSN: 1572-9524
    Keywords: quantum gravity ; general relativity ; string theory ; space-time tangent bundle ; maximal proper acceleration ; red shift
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The universal upper limit on attainable proper acceleration relative to the vacuum imposes restrictions on possible structures in the spacetime tangent bundle. Various features of the differential geometry of the spacetime tangent bundle are presented here. Also, a modified Schwarzschild solution is obtained, and the associated gravitational red shift is calculated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00689889
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Complex spacetime tangent bundle (1993)
    Springer
    Foundations of physics 6 (1993), S. 245-255 
    Details
    ISSN: 1572-9524
    Keywords: general relativity ; complex spacetime tangent bundle ; Finsler spacetime ; complex analytic manifolds ; Kähler manifolds ; maximal proper acceleration
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It is demonstrated that the spacetime tangent bundle, in the case of a Finsler spacetime, is complex, provided that the gauge curvature field vanishes. This is accomplished by determining the conditions for the vanishing of the Nijenhuis tensor in the anholonomic frame adapted to the spacetime connection.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00665729
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  • 5
    Electronic Resource
    Electronic Resource
    Riemann curvature scalar of spacetime tangent bundle (1992)
    Springer
    Foundations of physics 5 (1992), S. 43-55 
    Details
    ISSN: 1572-9524
    Keywords: quantum gravity ; general relativity ; spacetime tangent bundle ; maximal proper acceleration ; Finsler spacetime ; differential geometry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The maximum possible proper acceleration relative to the vacuum determines much of the differential geometric structure of the space-time tangent bundle. By working in an anholonomic basis adapted to the spacetime affine connection, one derives a useful expression for the Riemann curvature scalar of the bundle manifold. The explicit documentation of the proof is important because of the central role of the curvature scalar in the formulation of an action with resulting field equations and associated solutions to physical problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00689795
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Kähler spacetime tangent bundle (1992)
    Springer
    Foundations of physics 5 (1992), S. 315-336 
    Details
    ISSN: 1572-9524
    Keywords: quantum gravity ; general relativity ; spacetime tangent bundle ; Finsler spacetime ; maximal proper acceleration ; Kähler manifold
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Requirements are delineated for the spacetime tangent bundle to be Kählerian. In particlar, an almost complex structure is constructed in the case of a Finsler spacetime, and its covariant derivative in terms of the bundle connection is shown to be vanishing, provided the gauge curvature field is vanishing. The Levi-Civita connection coefficients and the Riemann curvature scalar are also specified for the Kähler spacetime tangent bundle.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00690590
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    Paper (German National Licenses)
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  • 7
    Electronic Resource
    Electronic Resource
    Finsler-spacetime tangent bundle (1992)
    Springer
    Foundations of physics 5 (1992), S. 221-248 
    Details
    ISSN: 1572-9524
    Keywords: quantum gravity ; general relativity ; spacetime tangent bundle ; Finsler spacetime ; maximal proper acceleration ; differential geometry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Levi-Civita connection coefficients of the spacetime tangent bundle, for the case of a Finsler spacetime, are reduced to the form given by Yano and Davies for a generic tangent bundle of a Finsler manifold. A useful expression is also obtained for the Riemann curvature scalar of a Finsler-spacetime tangent bundle.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00692801
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    Paper (German National Licenses)
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