Tomaschitz, Roman Quantum statistics of superluminal radiation. (English) Zbl 0994.82047 Physica A 307, No. 3-4, 375-404 (2002). Summary: 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. Cited in 5 Documents MSC: 82C10 Quantum dynamics and nonequilibrium statistical mechanics (general) Keywords:tachyonic fine structure constant; time-averaged energy functional quantization; energy-balance equation quantization × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Tanaka, S., Prog. Theoret. Phys., 24, 171 (1960) [2] Feinberg, G., Phys. Rev., 159, 1089 (1967) [3] Feinberg, G., Sci. Am., 222, 2, 69 (1970) [4] Des Coudres, Th., Arch. Néerland. Sci., II, 5, 652 (1900) · JFM 31.0837.02 [5] Sommerfeld, A., Proc. Konink. Akad. Wet. (Sec. Sci.), 7, 346 (1904) [6] Terletsky, Ya. P., Sov. Phys. Dokl., 5, 782 (1961) [7] Newton, R., Science, 167, 1569 (1970) [8] Chaliasos, E., Physica A, 144, 390 (1987) · Zbl 0668.53049 [9] Wycoff, D.; Balazs, N. L., Physica A, 146, 175 (1987) [10] Tomaschitz, R., Chaos Solitons Fract., 7, 753 (1996) [11] Anderson, R.; Vetharaniam, I.; Stedman, G. E., Phys. Rep., 295, 93 (1998) [12] Tomaschitz, R., Celest. Mech. Dyn. Astron., 77, 107 (2000) · Zbl 0979.83005 [13] Streater, R. F.; Wightman, A. S., PCT, Spin and Statistics, and All That (1964), Benjamin: Benjamin New York · Zbl 0135.44305 [14] Tomaschitz, R., Physica A, 293, 247 (2001) · Zbl 0978.82503 [15] Tomaschitz, R., Class. Quant. Grav., 18, 4395 (2001) · Zbl 0992.83065 [16] Goldhaber, A. S.; Nieto, M. M., Rev. Mod. Phys., 43, 277 (1971) [17] Tomaschitz, R., Int. J. Mod. Phys. A, 14, 5137 (1999) · Zbl 0943.83010 [18] Tomaschitz, R., Eur. Phys. J. B, 17, 523 (2000) [19] Landau, L. D.; Lifshitz, E. M., Electrodynamics of Continuous Media (1984), Pergamon: Pergamon Oxford · Zbl 0122.45002 [20] Singh, S.; Pathria, R. K., Phys. Rev. A, 30, 442 (1984) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.