Global Journal of Science Frontier Research, A: Physics and Space Science, Volume 23 Issue 1

situation requires. Moreover, P. Landsberg and G. Matsas have decided to put end to the long-time dispute [6, 7]. In particular, they write (I cite): “…the proper temperature T alone is left as the only temperature of universal significance. This seems to complete a story started 90 years ago [8] (more than 100 years today – E.V.) of how usual temperature transforms, and to conclude a controversy [3] of 33 years’ standing”. ( 50 years’ today). What is authors’ opinion [6, 7] based on? Their basis is as follows. First of all, the authors used an Unruh-De Witt detector, i.e., a two-level monopole, with a unit interval of the radiation energy ' ω  . Then the authors [6, 7] suppose that black-body radiation with the proper temperature T is at rest in some inertial reference frame S . The excitation rate of the detector moving with a constant velocity v is found from quantum field theory. It is proportional to the particle number density ( ) ' ' ' , , ω ω dvT n . As a result, the following formula was obtained: ( ) ( ) ( ) ' / 1 / / 1 / 1 / / 1 22 2 2 ' ' ' ' ' ' 1 1 ln 4 / 1 , , ω π ω ω ω ω ω d e e vc c v kT dvT n cv kT cv cv kT cv         − − − = + − − − − −    , (6) which, as the authors of [6, 7] noted, could not be reduced at v= 0 to the well-known formula ( ) ( ) ' / 2 3 2 ' ' ' ' 1 2 / , , ' ' ω π ω ω ω ω d e c dvT n kT − =  . (7) We obtain from (6) an expression which does not defy interpretation, as v . c → In opinion of P. Lands berg and G. Matsas, formula (6) is absolutely correct, thus it is unnecessary to speak about an unified law of temperature transformation under relativistic conditions. However it is not completely the case. Both the results obtained by Mosengeil (and soon used by Planck), and the mathematical monster (6) are incorrect. It is necessary to admit that the main reason of such a dramatic situation with a relativistic temperature is a giant scientific authority of Max Planck first and Albert Einstein. Naturally, after publishing X.Ott’s article this work was carefully checked. Errors had not been found. But nobody dared check the works [1, 2, 8]. These articles were carried out just after the creation of Special Relativity (SR) when nobody had known on the Bose- Einstein distribution. As we have noticed above, Planck’s well-known formula, concerning black-body radiation, was obtained by a semiempirical way without involving this distribution . After the discovery of this distribution, in the twenties of last century, Planck’s formula was already obtained with its help. However if the radiator of electromagnetic waves is moving with a relativistic velocity, the form of Bose-Einstein distribution changes drastically – it becomes at least a function of two variables, which immediately follows from SR electrodynamics. © 2023 Global Journals 1 Year 2023 30 Global Journal of Science Frontier Research Volume XXIII Issue ersion I VI ( A ) The Heat Transfer by Radiation under Relativistic Conditions 0 0 ′ V X 3 X 3 ′ X 1 , X 1 ′ X 2 X 2 ′ 1 2 Fig.1: X 1 ,X 2 , X 3 and X 1 ′ ,X 2 ′ ,X 3 ′ are the laboratory reference frame and that moving uniformly and rectilinearly with the velocity v. 1 is the observer at rest; 2 is the radiating black body