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Planck's derivation of this formula ascribed it to a restriction on the energy changes possible when radiation is produced or absorbed by matter, which implied no restriction on the energies of either matter or radiation. Einstein's derivation ascribed it to a restriction on the energy of radiation alone, but in this paper, he proposes the modern idea that the energies of both matter and radiation are quantized, which led to his work on quantum specific heats, such as reference Specific heats.

Resolved the 19th-century paradox of the equipartition theorem in classical physics, and introduced the Einstein model of solids, which led to the current Debye model. Resulted in a novel low-noise technique for amplifying voltages, as described in reference Bemerkung zur Notiz des Herrn P. Derives the transformation of energy and momentum under the influence of external forces relativistic dynamics. Notes again the difficulty of applying Lorentz transformations to rigid bodies see reference Finally, speculates that Maxwell's equations will prove to be the limiting case for large numbers of light-quanta, just as thermodynamics is a limiting case of statistical mechanics.

Part 2. Special and general relativity. This paper also marks the beginning of Einstein's long development of general relativity ; here he derives the equivalence principle , gravitational redshift , and the gravitational bending of light. Einstein returns to these topics in A correction appeared in volume 27 , p. See also publication An apparatus for this amplification was constructed by two brothers, Johann Conrad Habicht and Franz Paul Habicht, in collaboration with Einstein and published in Physikalische Zeitschrift , 11 , Bemerkung zur Arbeit von Mirimanoff: Die Grundgleichungen Comment on the Paper of D.

Mirimanoff: On the Fundamental Equations Einstein argues that the physical restriction to retarded solutions is not a law, but probabilistic; Ritz states that the same restriction is the basis of the 2nd law of thermodynamics. Notes that electromagnetic radiation must have a dual nature , at once both wave-like and particulate.

Also published in the journal Deutsche physikalische Gesellschaft, Verhandlungen , 11 , pp. An English translation is available at the English Wikisource. Guillaume, but does not correspond to reference Intermolecular forces and fluid mechanics.

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Bemerkungen zu den P. The correct answer came a year later with the Debye model. General relativity. Here, Einstein realizes that a new theory is needed to replace both special relativity and Newton's theory of gravitation. He also realizes that special relativity and the equivalence principle hold locally , not globally. Special and possibly general relativity.

These two papers are the last in which Einstein allows time to be warped while keeping space flat uncurved. In these papers, he realizes that the Lorentz transformations of special relativity must be generalized and that the new theory of gravitation must be non-linear, since gravitational energy can itself gravitate.

Antwort auf eine Bemerkung von J. Abraham Relativity and Gravitation.

Reply to a Comment by M. Gibt es eine Gravitationswirkung die der elektromagnetischen Induktionswirkung analog ist? Physikalischer Teil von A. Einstein II. Mathematischer Teil von M. Physical Part by A. Mathematical Part by M. However, the correct equations describing these fields are not identified. Reviewed critically in reference See also references 21 , 42 , 46 and Einstein and Stern attempt to explain the specific heats of diatomic gases, such as molecular hydrogen , H 2.

Although qualitatively correct, they are quantitatively inaccurate. History of physics. The discussion following Einstein's address is included in this citation. A referat was also published in the journal Himmel und Erde , 26 , pp. Bemerkung zu P. Astronomische Nachrichten , , 8—10, link.

Electromagnetism and special relativity. Antwort auf eine Replik P. Harzers Answer to P. Astronomische Nachrichten , , 47—48, link. German edition of reference 51 ; pages — include the discussion following Einstein's address. Quantum mechanics. Review of H.

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Sitzungsberichte der Preussischen Akademie der Wissenschaften , pt. Preussische Akademie der Wissenschaften, Sitzungsberichte , part 2 , — Einstein still has not derived correct field equations, but he derives the geodesic motion of point particles, relates gravitational fields to rotation, and re-derives his results about the bending of light and gravitational redshift using the new metric tensor theory. Scientia Bologna , 15 , — link.

Listed only by title; same lecture as publication Verhandlungen der Schweizerischen naturforschenden Gesellschaft , 96 pt. Einstein-de Haas effect. Antwort auf eine Abhandlung M.

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Verhandlungen der Deutschen Physikalischen Gesellschaft , 17 , —, Berichtigung , First of Einstein's four papers in November Preussische Akademie der Wissenschaften, Sitzungsberichte , part 2 , —, — The first paper had corrected a fundamental misconception and had allowed Einstein to finish; however, the second introduced a serious mistake. A pivotal paper in which Einstein shows that general relativity explains the anomalous precession of the planet Mercury , which had vexed astronomers since This paper also introduced the important calculational method, the post-Newtonian expansion.

Einstein also calculated correctly for the first time the bending of light by gravity.

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This is the defining paper of general relativity. At long last, Einstein had found workable field equations, which served as the basis for subsequent derivations. Proceedings of the Akademie van Wetenschappen, Amsterdam , 18 , —, link [ permanent dead link ]. Final consolidation by Einstein of his various papers on the subject - in particular, his four papers in November This paper introduced the idea of stimulated emission which led to the laser and maser , and Einstein's A and B coefficients provided a guide for the development of quantum electrodynamics , the most accurately tested theory of physics at present.

In this work, Einstein begins to realize that quantum mechanics seems to involve probabilities and a breakdown of causality. This was confirmed in by Compton scattering , for which the Nobel Prize in Physics was awarded and which led to the general acceptance to the photon concept. General relativity [] The first prediction of gravitational waves. Such gravitational radiation has been observed indirectly , for which the Nobel Prize in Physics was awarded, and observed directly , on Earth, in Under certain simplifying assumptions, general relativity describes the birth , the expansion and the ultimate fate of the Universe.

Mathematical physics. Gehrcke's Note: On the Aether. Kritisches zu einer von Hrn. Spielen Gravitationsfelder im Aufbau der materiellen Elementarteilchen eine wesentliche Rolle? Sozialistische Monatshefte , 52 Jahrgang 25, pt. Bemerkung zur Abhandlung von W. Notes on the page proofs with corrections. My Response on the Anti-Relativity Company.

Report of a lecture at King's College on the development and present position of relativity, with quotations. The German text is reproduced in Mein Weltbild pp. It was also reported in Nature , p.

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Review of W. Sitzungsberichte der Preussischen Akademie der Wissenschaften, Phys. Klasse , , 18— Bemerkung zu der Abhandlung von E. Klasse , , — Bemerkung zu der Arbeit von A. Bemerkung zu der Notiz von W. Fluid mechanics. Classical unified field theories. Grommer; also given in Hebrew. Relatively non-mathematical. Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch-mathematische Klasse , , 32—38, 76— Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch-mathematische Klasse , , — Antwort auf eine Bemerkung von W.

Anderson Response to an Observation of W. Photons and statistical mechanics. In , Satyendra Nath Bose derived Planck's law of black-body radiation from a modification of coarse-grained counting of phase space. Einstein also extends Bose's formalism to material particles bosons , predicting that they condense at sufficiently low temperatures, as verified experimentally. Verhandlungen der Schweizerischen naturforschenden Gesellschaft , pt. Treatment of the physics of radiometers , a science toy. Quantentheorie des einatomigen idealen Gases.

Sitzungsberichte der Preussischen Akademie der Wissenschaften Berlin , Physikalisch-mathematische Klasse , , 3— Sitzungsberichte der Preussischen Akademie der Wissenschaften Berlin , Physikalisch-mathematische Klasse , , 18— Sitzungsberichte der Preussischen Akademie der Wissenschaften Berlin , Physikalisch-mathematische Klasse , , — Earth science. Mathematische Annalen , 97 , 99— link. Zu Newtons Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch-mathematische Klasse , , 23— Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch-mathematische Klasse , , 2—13, — Reprinted in Mein Weltbild The world as I see it , p.

Ansprache an Prof. Planck [bei Entgegennahme der Planckmedaille] Address to Prof.