867:... more generally the reason he achieved an incorrect result on both occasions is that he wants to rigorously equate the work performed to kinetic energy, as the work-energy theorem demands. Unfortunately, he does not know how to properly compute the energy. In particular, Hasenöhrl does not conceive of the fact that if the radiators are losing energy, they must be losing mass, which contains an element of irony because it is precisely a mass-energy relation that he is trying to establish.
755:. This case is of historic interest, since it can be treated by electrodynamics alone, even without relativity theory. Then one necessarily comes to ascribe momentum and thus inertial mass to the moving radiation energy. It's interesting that this result was already found by F. Hasenöhrl before the introduction of relativity theory. However, his conclusions were in some points in need of correction. A complete solution of this problem was first given by K. v. Mosengeil.
31:
869:
Let us end by saying that Fritz Hasenöhrl attempted a legitimate thought experiment and tackled it with the tools available at the time. He was working during a transition period and did not create the new theory necessary to allow him to solve the problem correctly and completely. Nevertheless, his
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in 2011 (and Boughn in 2012), who gave a historical account of different solutions to the problem, argued that the above explanation is insufficient. After providing a complete relativistic description and solution of the cavity problem (in the "constant velocity case" and "slow acceleration case"),
722:
In some additional papers (1907, 1908) Hasenöhrl elaborated further on his 1904-work and concluded that his new results were now in accordance to the theories of
Mosengeil and Planck. However, he complained about the fact that Planck (1907) did not mention his earlier 1904-results (like the
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and others argued that this problem is analogous to the so-called 4/3 problem of electromagnetic mass. That is, if Hasenöhrl had included the shell in his calculations in a way consistent with relativity, the pre-factor of 4/3 would have been 1, so yielding
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In 1907 he became
Boltzmann's successor at the University of Vienna as the head of the Department of Theoretical Physics. He had a number of illustrious pupils there and had an especially significant impact on
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for every body whose temperature is different from 0° A.. In particular, every body must have an apparent mass determined by the inner radiation, and which is therefore above all dependent on the temperature.
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However, it was shown by
Abraham that Hasenöhrl's calculation for the apparent mass was incorrect, so he published another paper in 1905, where he presented Abraham's criticism and corrected his formula to:
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Following this line of thought, Hasenöhrl (1904, 1905) published several papers on the inertia of a cavity containing radiation. This was an entirely classical (non-relativistic) derivation and used
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is the radiation energy. He also concluded that this result is valid for all radiating bodies, i.e. for all bodies whose temperature is > 0K. For this result Hasenöhrl was awarded the
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in 1874. His father was a lawyer and his mother belonged to a prominent aristocratic family. After his elementary education, he studied natural science and mathematics at the
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dependency of apparent mass on temperature). In 1908 Planck wrote that the results of Hasenöhrl's new approach from 1907 were indeed equivalent to those of relativity.
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similar to the famous
Einstein's (1905) equation for mass–energy equivalence, that of which the special case of a stationary massive body is widely known as
1128:(1907-1908), Sitzungsberichte der mathematisch-naturwissenschaftlichen Klasse der kaiserlichen Akademie der Wissenschaften, Wien. 116 IIa (9): 1391-1405,
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formula given above. Hasenöhrl's results (concerning apparent mass and thermodynamics) by using cavity radiation was further elaborated and criticized by
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927:, have often prompted uninformed questioning of Einstein's priority of the discovery, starting soon after his publication and continuing to this day.
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In an autobiography, Schrödinger claimed "no other human being had a greater influence on me than Fritz Hasenöhrl, except perhaps my father
Rudolph".
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with a thesis titled "Über den
Temperaturkoeffizienten der Dielektrizitätskonstante in Flüssigkeiten und die Mosotti-Clausius'sche Formel".
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Since the heat content of every body partly consists of radiating heat, the things that we have demonstrated at a cavity, are true
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broke out in 1914, he volunteered at once into the
Austria-Hungarian army. He fought as Oberleutnant against the Italians in
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Married Ella Brückner and had at least one known son, Victor
Hasenohrl (? - 1982) who married Elizabeth Sayre (? - 1968)
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Albert
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Afterwards, several authors gave credit to Hasenöhrl for his 1904 achievements on cavity radiation.
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There are different explanations for this result and its deviation from the relativistic formula
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Victor
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energy-momentum content and understand the deep implications of this principle in
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685:{\displaystyle m={\frac {4}{3}}\cdot {\frac {h\,\varepsilon _{0}}{c^{2}}}}
587:{\displaystyle m={\frac {8}{3}}\cdot {\frac {h\,\varepsilon _{0}}{c^{2}}}}
1323:"Notes on the Principle of Action and Reaction in General Dynamics"
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basic conclusion remained valid and for that he should be given credit.
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486:{\displaystyle \mu ={\frac {8}{3}}{\frac {E_{0}}{{\mathfrak {B}}^{2}}}}
1542:[Does the Inertia of a Body Depend Upon its Energy-Content?].
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Fermi, E. (1923). "Sulla massa della radiazione in uno spazio vuoto".
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This was the same relation (as Hasenöhrl noted himself) as for the
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404:{\displaystyle m_{em}={\frac {4}{3}}\cdot {\frac {E_{em}}{c^{2}}}}
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in his work. A broad outline of relativistic thermodynamics and
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Zur Theorie der Strahlung in bewegten Körpern. Berichtigung
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Austro-Hungarian military personnel killed in World War I
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Hasenöhrl's papers on cavity radiation and thermodynamics
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who married Victoria ? (?-?) who had two children:
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the speed of light. Subsequently, he used the notation:
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On the Theory of Radiation in Moving Bodies. Correction
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Stephen Boughn (2013). "Fritz Hasenöhrl and E = mc2".
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221:; 30 November 1874 – 7 October 1915) was an
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1390:. Vol. 165. Dover Publications.
1355:, New York: Columbia University Press
1353:Eight lectures on theoretical physics
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1233:. Reading: Addison–Wesley. pp.
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236:Friedrich Hasenöhrl was born in
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1384:In English:
1381:(2): 539–776
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1020:Publications
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953:Known family
942:
938:
934:
931:Max von Laue
929:
888:
878:
866:
863:they wrote:
860:Tony Rothman
857:
811:Enrico Fermi
772:
769:Explanations
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331:(1902), and
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152:Institutions
135:
71:(1915-10-07)
1684:1915 deaths
1679:1874 births
1449:Mathpages:
976:Issca (?- )
329:Max Abraham
89:Nationality
81:Welschtirol
77:Vielgereuth
1673:Categories
1439:: 162–164.
1214:2022-04-16
989:Children:
970:Children:
947:relativity
744:Max Planck
732:black body
717:Max Planck
47:1874-11-30
1525:118338231
1500:1303.7162
1472:1108.2250
1416:ignored (
1406:cite book
881:Heaviside
730:That the
719:in 1907.
661:ε
650:⋅
563:ε
552:⋅
440:μ
423:Maxwell's
372:⋅
297:When the
226:physicist
146:Physicist
1660:Archived
1369:(1921),
1156:See also
889:formally
885:Poincaré
883:(1889),
758:—
741:—
598:where hε
327:(1900),
223:Austrian
1586:Bibcode
1505:Bibcode
1274:Bibcode
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736:inertia
606:of the
214:German:
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319:Since
269:Leiden
248:under
238:Vienna
172:(1896)
170:
163:Thesis
142:Fields
130:(1905)
124:Awards
55:Vienna
1521:S2CID
1495:arXiv
1468:arXiv
943:total
303:Tyrol
1630:ISBN
1620:ISBN
1418:help
1392:ISBN
1239:ISBN
1203:ISBN
1134:1908
1130:1907
1124:and
939:real
232:Life
66:Died
41:Born
1594:doi
1552:doi
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