Wuppertal 2015 – wissenschaftliches Programm
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DD: Fachverband Didaktik der Physik
DD 17: Postersitzung
DD 17.3: Poster
Dienstag, 10. März 2015, 14:45–16:15, Foyer Ebene G.10
Book: Special and general theory of relativity — •Jürgen Brandes — Karlsruhe, Germany
SRT and GRT are part of the foundations of physics. This will not be queried but is there more? The following argument demands it: There are two contradictory formulas about the total energy of a particle resting in the gravitational field [1]. From the formulas of radial free fall one gets: E=mc2√(1−2GM/c2). This is at least qualitatively correct since removing the particle from the gravitational field needs energy. Doing this the total energy of the particle becomes E=mc2 and therefore, within the gravitational field it has to be lower. On the other side, there is the equivalence principle. A particle resting in its local inertial system (i.e. the freely falling particle) has a total energy equal to its rest mass: E=mc2. Both of the formula contradict each other. Certainly, they belong to different reference systems with one of them being accelerated, in fact. But: At time point t=0 the free falling particle is also a resting one since its velocity v=0. Only its acceleration b≠0. Special theory of relativity is applicable and therefore the freely falling particle at t=0 as well as an always resting particle at the same position possess identical total energy E=mc2.
Easy to solve? Look at [1], [2] and wonder at the reactions.
[1] J. Brandes, J. Czerniawski: Spezielle und Allgemeine Relativitätstheorie für Physiker und Philosophen - Einstein- und Lorentz-Interpretation, Paradoxien, Raum und Zeit, Experimente, 2010, [2] Website http://www.grt-li.de