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GR: Fachverband Gravitation und Relativitätstheorie
GR 6: Klassische Allgemeine Relativitästheorie I
GR 6.5: Vortrag
Dienstag, 26. Februar 2013, 19:15–19:30, HS 6
GRT - well proven and also incomplete? — •Jürgen Brandes — Karlsbad, Germany
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 r). 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 free falling particle at t=0 as well as an always resting particle at the same position possess identical total energy E=mc2.
This contradiction proves Lorentz interpretation [1] and being so simple proves a ’hardnosed’ classical theory of general relativity, too.
[1] J. Brandes, J. Czerniawski: Spezielle und Allgemeine Relativitätstheorie für Physiker und Philosophen - Einstein- und Lorentz-Interpretation, Paradoxien, Raum und Zeit, Experimente, 4. Aufl. 2010