Tomaschitz, R. (2002). Quantum statistics of superluminal radiation, Physica A 307, 375-404, DOI: 10.1016/S0378-4371(01)00627-6
Abstract (ScienceDirect, SAO/NASA ADS, Zbl 0994.82047)
A statistical quantization of superluminal (tachyon) radiation is introduced. The tiny tachyonic fine structure constant suggests to depart from the usual quantum field theoretic expansions, and to use more elementary methods such as detailed equilibrium balancing of emission and absorption rates. Instead of commencing with an operator interpretation of the wave function, we quantize the time-averaged energy functional and the energy-balance equation. This allows to use different statistics for different types of modes. Transversal superluminal modes are quantized in Bose statistics, longitudinal ones are turned into fermions, resulting in a positive definite Hamiltonian for the radiation field. We discuss the absorptive space structure underlying superluminal quanta and the energy dissipation related to it. This dissipation leads to an adiabatic time variation of the temperature in the bosonic and fermionic spectral functions, gray-body quasi-equilibrium distributions with a dispersion relation adapted to the negative mass-square of the tachyonic modes. The superluminal radiation field couples by minimal substitution to subluminal matter. Adiabatically damped Einstein coefficients are obtained by detailed balancing, as well as emission and absorption rates for tachyon radiation in hydrogenic systems, in particular the possibility of spontaneous emission of superluminal fermionic quanta is pointed out, and time scales for the approach to equilibrium are derived.
Author Keywords: Tachyonic gray-body radiation; Longitudinal background radiation; Superluminal quantum ensembles; Ether; Superluminal energy dissipation; Quantum tachyons; Spontaneous tachyon emission
PACS classification codes: 05.30.Ch; 42.25.Bs; 32.70.Cs; 98.70.Vc
1. Introduction
2. Tachyons in a permeable spacetime
3. Energy balance for superluminal radiation in a refractive and absorptive space–time
4. Transversal tachyons in Bose-Einstein statistics
5. Longitudinal tachyons in Fermi–Dirac statistics
6. Conclusion
Acknowledgements
Appendix A. Equilibrium mechanics of superluminal fermionic modes
References
Zbl
0994.82047
Tomaschitz, Roman
Quantum statistics of superluminal radiation.
[J] Physica
A 307, No.3-4, 375-404 (2002). ISSN 0378-4371
MSC 2000
*82C10 Quantum dynamics and nonequilibrium statistical mechanics (general)
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Quantum statistics of superluminal radiation |
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Tomaschitz, Roman |
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AA(Department of Physics, Hiroshima University, 1-3-1 Kagami-yama, Higashi- 739-8526, Hiroshima, Japan) |
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Physica A, Volume 307, Issue 3-4, p. 375-404. |
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05/2002 |
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description: Roman Tomaschitz (2002) Quantum statistics of superluminal radiation, Physica A 307, 375.
Keywords: quantum tachyons, Proca fields with negative mass-square, statistical quantization of superluminal radiation, detailed balancing, superluminal quantum ensembles, polarization of tachyons, transversal Bose statistics, longitudinal Fermi statistics, transversal and longitudinal tachyonic background radiations, tachyons in a refractive and absorptive spacetime, ether, aether, superluminal energy dissipation, tachyonic quasi-equilibrium distributions in a permeable spacetime, tachyonic gray-body radiation
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