Tomaschitz, R. (1999). Tachyons in the Milne universe, Classical and Quantum Gravity 16, 3349-3366, DOI: 10.1088/0264-9381/16/10/323
Abstract (IOPscience, CDS, SAO/NASA ADS, Zbl 1071.83572)
Superluminal particles (tachyons) are studied in a Robertson-Walker cosmology with linear expansion factor and negatively curved 3-space (Milne universe). This cosmology admits globally geodesic rest frames for uniformly moving observers, isometric copies of the forward lightcone, which can be synchronized by Lorentz boosts. We investigate superluminal wave propagation, a real Proca field with negative mass-square, coupled to subluminal matter in analogy to the electromagnetic field. For photons, the eikonal approximation is exact in Robertson-Walker cosmology, and the Proca field is coupled to the background geometry in such a way that this also holds for tachyons. The spectral decomposition of freely propagating tachyon fields in the Milne universe is derived. We study the wave-particle duality in terms of the spectral elementary waves and their orthogonal ray bundles, in the comoving frame as well as in the individual geodesic rest frames of galactic observers. The spectral energy density of a tachyon background radiation is discussed.
98.70.Vc Background radiations
14.80.-j Other particles (including hypothetical)
85A40 Cosmology
Subjects
Gravitation and cosmology
Particle physics and field theory
Zbl
1071.83572
Tomaschitz, Roman
Tachyons in the Milne universe
[J] Classical
Quantum Gravity 16, No. 10, 3349-3366 (1999). ISSN 0264-9381
MSC 2000:
*83F05 Relativistic cosmology
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Tachyons in the Milne universe |
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Authors: |
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Tomaschitz, Roman |
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AA(Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, Higashi-Hiroshima 739-8526, Japan roman@fusion.sci.hiroshima-u.ac.jp) |
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Classical and Quantum Gravity, Volume 16, Issue 10, pp. 3349-3366 (1999). |
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10/1999 |
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description: Roman Tomaschitz (1999) Tachyons in the Milne universe, Classical and Quantum Gravity 16, 3349.
Keywords: superluminal wave propagation, Proca fields with negative mass-square, Robertson–Walker cosmology, hyperbolic 3-space, constant negative curvature, conformal time scaling of the tachyon mass, tachyonic radiation modes coupled to electron currents by minimal substitution, tachyonic dispersion relation and Compton wavelength, tachyonic black-body radiation, comoving coordinates and globally geodesic rest frames in the Milne universe, Poincaré half-space model of hyperbolic geometry, forward lightcone, synchronization of cosmic and proper time, causality in the cosmic time order, time inversion in inertial frames, time evolution and positivity of tachyonic energy, tachyonic ray optics, Klein–Gordon equation with negative mass-square, Hamilton–Jacobi equation, Poisson kernel, eikonal approximation, horospherical wave fronts
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