Die Grundlage der allgemeinen Relativitätstheorie
By A. Einstein, Zugangsinformation
Der speziellen Relativitatstheorie liegt folgendes Postulat zugrunde, welchem auch durch die Galilei-Newtonsche Mechanik Genuge geleistet wird: Wird ein Koordinatensystem K so gewahlt, das in bezug auf dasselbe die physikalischen Gesetze in ihrer einfachsten Form gelten, so gelten dieselben Gesetze auch in Bezug auf jedes andere Koordinatensystem K′, das relativ zu K in gleichformiger Translationsbewegung begriffen ist. Dieses Postulat nennen wir „spezielles Relativitatsprinzip“. Durch das Wort „speziell“ soll angedeutet werden, das das Prinzip auf den Fall beschrankt ist, das K′ eine gleichformige Translationsbewegung gegen K ausfuhrt, das sich aber die Gleichwertigkeit von K′ und K nicht auf den Fall ungleichformiger Bewegung von K′ gegen K erstreckt.
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Citations in the corpus
- GShard: Scaling Giant Models with Conditional Computation and Automatic Sharding (2020, methodology): “We extensively used tf.einsum, the Einstein summation notation (Einstein, 1923), to concisely express the model.”
- Testing Relativistic Gravity with Radio Pulsars (2014, methodology): “In his 1916 comprehensive summary of GR [4], Einstein proposed three experimental tests:”
- Squeezed states of light and their applications in laser interferometers (2016, background): “Einstein’s General Theory of Relativity [Einstein (1916)], or simply ‘General Relativity’ (GR), predicts that accelerating mass distributions produce gravitational radiation, analogous to electromagnetic radiation from accelerating charges.”
- The planet nine hypothesis (2019, background): “In the early 20th century, however, Einstein developed his theory of General Relativity, which selfconsistently resolved the ancillary precession problem (yielding a rate of apsidal advance given by the RHS of the above equation; Einstein 1916).”
- GRChombo: Numerical relativity with adaptive mesh refinement (2015, background): “Almost a hundred years after Einstein wrote down the equations of General Relativity [1], solutions of the Einstein equation remain notoriously difficult to find beyond those which exhibit significant symmetries.”
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- Galaxies as simple dynamical systems: observational data disfavor dark matter and stochastic star formation (2014, methodology): “In this context, one important caveat needs to be remembered: when Einstein formulated the theory of general relativity (GR, [45]), the data he had used indirectly as constraints were provided through Newton’s empirically derived law of gravitation.”
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- f(R) Theories (2010, background): “General Relativity (GR) [225, 226] is widely accepted as a fundamental theory to describe the geometric properties of spacetime.”