landsberg_prl_45_149_80.pdf - 21 JULY 1980 VOLUME 45...

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VOLUME4521JULY1980NUMBER3ThoughtExperimenttoDeterminetheSpecialRelativisticTemperatureTransformationPeterT.Iandsbergg)cpa~mentofMathematics,UniversityofSouthhampton,SouthhamptonSO95NH,England(ReceivedllFebruary1980)Thespecialrelativistictransformationoftemperatureisnotknownwithcertaintyandsomeauthorsbelieveittobearbitrarywithinacertainrangeofpossibilities.Apro-cedureisproposedherewhichcaninprinciple,andforthefirsttime,leadtoanexperi-mentalattackonthisproblem.Eventhoughtheexperimentaldifficultiesmaybeprohibi-tive,iftheprincipleofthemethodisgranted,thenadefinitetransformationmustexist.PACSnumbers:03.30.+p,44.90.+cThetemperaturetransformationofspecialre-lativityisstillbeingdiscussed,''butnocon-sensushasemerged,exceptthatthelawhastheformt(v)=h(v)]'t(0),p(v)—:[&(v/c)']''.Hereaisnotknownwithcertaintyanda=-1(Pauli-Planck),ora=0(Landsberg)ora=l(Ott).Someauthorsmaintainthatwhichtransforma-tionisadoptedisamatterofconvention.Themanyattemptstodeducethevalueofafromac-ceptedtheoryappeartohavefailed,"norisanyexperimentalapproachtotemperaturebystudy-ingtwobodieswhichareinrelativemotionlike-lytosucceed.'Thethoughtexperimentproposedhereproceedsintwosteps.SteP1:Considertwouniformdiskswithconstantangularvelocities&u„&u,(inparallelplaneswhichareclosetogether)aboutcentersAandBwhichareatrestinacommoninertialframeI.

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