Academic literature on the topic 'Lorentz-Einstein transformations'
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Journal articles on the topic "Lorentz-Einstein transformations"
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Mei, Xiaochun, and Canlun Yuan. "Three Serious Mistakes in Einstein’s Original Paper of Special Relativity in 1905." Applied Physics Research 15, no. 2 (2023): 80. http://dx.doi.org/10.5539/apr.v15n2p80.
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It is revealed in this paper that there were three serious mistakes in the Einstein’s original paper in 1905. Einstein did not prove that the motion equation of classical electromagnetic field could satisfy the invariance of the Lorentz coordinate transformation. The Einstein’s derivations on the formulas of transverse and longitudinal masses, as well as the calculation on the mass-energy relation are wrong. 1. In order to prove that the classical Maxwell electromagnetic field equation satisfied the invariance of Lorentz transformation in free space without charged and current, Einstein introduced the transformations of electromagnetic fields themselves, called the Einstein’s transformations of electromagnetic fields. However, these transformations are completely different from the Lorentz transformations of electromagnetic fields themself, which leads to contradiction and does not hold. 2. For the electromagnetic field equations in non-free space with charge and current, the Einstein’s transformations can not make the electromagnetic fields unchanged under the Lorentz transformation. 3. The constitutive equations of electromagnetic theory in the medium do not satisfy the invariance of the Lorentz transformation too. Therefore, the classical electromagnetic field equations have no the invariance of the Lorentz transformation actually, and the most important theoretical and experimental basis of special relativity do not exist. 4. The Einstein's derivations on the formulas of transverse and longitudinal masses have a series of elementary mistakes in mathematics and physics. Einstein took the relative speed between two reference frames as the arbitrary moving velocity of a particle, and the obtained formulas were completely different from the existing mass-velocity of special relativity. 3. When Einstein derived the mass-energy relationship, he only calculated the work done by the force in the x-axis direction of particle’s motion, ignoring the work done by the force at the y- and z-axes directions. Meanwhile, the constant relative motion velocity between two reference frames was misused as the variable arbitrary velocity of a particle. Therefore, Einstein had not derived the mass-velocity formula and mass-energy relationship used in the present special relativity.
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Sarafoglou, Nikias, Menas Kafatos, and John H. Beall. "Simultaneity in the Scientific Enterprise." Advances in Social Sciences Research Journal 9, no. 4 (2022): 25–43. http://dx.doi.org/10.14738/assrj.94.12113.
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 In this article, we explore the concept of simultaneity in the scientific enterprise, defined herein as the near-coincident discovery of significant advances in the development of our scientific understanding of the world. We do this by examining two case studies of such coincident or near-coincident discoveries: the development of the so-called Lorentz transformation by H.A. Lorentz (1904) and A. Einstein (1905); and the Aharonov-Bohm effect discovered independently in chronological order by Franz(1939), Ehrenberg and Siday (1949) and Aharonov and Bohm (1959). It is now generally acknowledged that the Lorentz transformations were independently developed by both Lorentz and Einstein as they worked on different approaches to solve a similar problem – i.e., the preservation of the form of Maxwell's equations in coordinate systems moving relative to one another, while the relationship between the Ehrenberg-Siday and Aharonov-Bohm works is still controversial. In our view, these independent discoveries allow some speculation about the nature of human discovery and understanding of scientific truths as they progress through time.
 
 
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Al-Tamimi, Mohammad. "Problematic of Lorentz -Einstein’s Transformations." Advances in Social Sciences Research Journal 8, no. 6 (2021): 423–30. http://dx.doi.org/10.14738/assrj.86.10399.
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When I tried to derive which was used by Lorentz in his transformations, I found it has a different value. Also the same problem happened with was used by Einstein in equations of the special theory of relativity (STR).
 To explain this problematic, I tried to apply these transformations to a perfect and real relativistic experiment where I proved this real problematic, that confused physical society for decades.
 Indeed, I strongly believe that, this problematic is coming as a reflection of the conception of the velocity law on STR where, we can’t build this conception on the bending of the dimensions of the spacetime.
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Garat, Alcides. "Signature-causality reflection generated by Abelian gauge transformations." Modern Physics Letters A 35, no. 15 (2020): 2050119. http://dx.doi.org/10.1142/s0217732320501199.
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In this paper, we want to better understand the causality reflection that arises under a subset of Abelian local gauge transformations in geometrodynamics. We proved in previous papers that in Einstein–Maxwell spacetimes, there exist two local orthogonal planes of gauge symmetry at every spacetime point for non-null electromagnetic fields. Every vector in these planes is an eigenvector of the Einstein–Maxwell stress–energy tensor. The vectors that span these local orthogonal planes are dependent on electromagnetic gauge. The local group of Abelian electromagnetic gauge transformations has been proved isomorphic to the local groups of tetrad transformations in these planes. We called LB1 the local group of tetrad transformations made up of SO(1, 1) plus two different kinds of discrete transformations. One of the discrete transformations is the full inversion two by two which is a Lorentz transformation. The other discrete transformation is given by a matrix with zeroes on the diagonal and ones off-diagonal two by two, a reflection. The group LB1 is realized on this plane, we call this plane one, and is spanned by the time-like and one space-like vectors. The other local orthogonal plane is plane two and the local group of tetrad transformations, we call this LB2, which is just SO(2). The local group of Abelian electromagnetic gauge transformations is isomorphic to both LB1 and LB2, independently. It has already been proved that a subset of local electromagnetic gauge transformations that leave the electromagnetic tensor invariant induces a change in sign in the norm of the tetrad vectors that span the local plane one. The reason is that one of the discrete transformations on the local plane one that belongs to the group LB1 is not a Lorentz transformation, it is a flip or reflection. It is precisely on this kind of discrete transformation that we have an interest since it has the effect of changing the signature and the causality. This effect has never been noticed before.
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Ghosal, S. K., K. K. Nandi, and Papia Chakraborty. "Passage from Einsteinian to Galilean Relativity and Clock Synchrony." Zeitschrift für Naturforschung A 46, no. 3 (1991): 256–58. http://dx.doi.org/10.1515/zna-1991-0307.
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AbstractThere is a general belief that under small velocity approximation. Special Relativity goes over into Galilean Relativity. Should this be interpreted exclusively in terms of the kinematical symmetry transformations (Lorentz vs. Galilei) a misconception could easily arise that would stem from overlooking the role of conventionality ingredients of Special Relativity Theory. It is observed that the small velocity approximation cannot alter the convention of distant simultaneity. In order to exemplify this point further, the Lorentz transformations are critically compared, under the same approximation, with two other space time transformations, one of which represents an Einstein world with Galilean synchrony whereas the other describes a Galilean world with Einsteinian synchrony
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SOO, CHOPIN, and CYRUS C. Y. LIN. "WIGNER ROTATIONS, BELL STATES, AND LORENTZ INVARIANCE OF ENTANGLEMENT AND VON NEUMANN ENTROPY." International Journal of Quantum Information 02, no. 02 (2004): 183–200. http://dx.doi.org/10.1142/s0219749904000146.
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We compute, for massive particles, the explicit Wigner rotations of one-particle states for arbitrary Lorentz transformations; and the explicit Hermitian generators of the infinite-dimensional unitary representation. For a pair of spin 1/2 particles, Einstein–Podolsky–Rosen–ell entangled states and their behaviour under the Lorentz group are analyzed in the context of quantum field theory. Group theoretical considerations suggest a convenient definition of the Bell states which is slightly different from the conventional assignment. The behaviour of Bell states under arbitrary Lorentz transformations can then be described succinctly. Reduced density matrices applicable to systems of identical particles are defined through Yang's prescription. The von Neumann entropy of each of the reduced density matrix is Lorentz invariant; and its relevance as a measure of entanglement is discussed, and illustrated with an explicit example. A regularization of the entropy in terms of generalized zeta functions is also suggested.
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Hill, James M., and Barry J. Cox. "Einstein's special relativity beyond the speed of light." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2148 (2012): 4174–92. http://dx.doi.org/10.1098/rspa.2012.0340.
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We propose here two new transformations between inertial frames that apply for relative velocities greater than the speed of light, and that are complementary to the Lorentz transformation, giving rise to the Einstein special theory of relativity that applies to relative velocities less than the speed of light. The new transformations arise from the same mathematical framework as the Lorentz transformation, displaying singular behaviour when the relative velocity approaches the speed of light and generating the same addition law for velocities, but, most importantly, do not involve the need to introduce imaginary masses or complicated physics to provide well-defined expressions. Making use of the dependence on relative velocity of the Lorentz transformation, the paper provides an elementary derivation of the new transformations between inertial frames for relative velocities v in excess of the speed of light c , and further we suggest two possible criteria from which one might infer one set of transformations as physically more likely than the other. If the energy–momentum equations are to be invariant under the new transformations, then the mass and energy are given, respectively, by the formulae and where denotes the limiting momentum for infinite relative velocity. If, however, the requirement of invariance is removed, then we may propose new mass and energy equations, and an example having finite non-zero mass in the limit of infinite relative velocity is given. In this highly controversial topic, our particular purpose is not to enter into the merits of existing theories, but rather to present a succinct and carefully reasoned account of a new aspect of Einstein's theory of special relativity, which properly allows for faster than light motion.
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Da Silva, Vinícius Carvalho. "Einstein and the search for the logical unity of the world: principle of relativity and generalisation of lorentz transformations." Griot : Revista de Filosofia 24, no. 1 (2024): 194–204. http://dx.doi.org/10.31977/grirfi.v24i1.3653.
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No presente artigo analisamos o papel do princípio da relatividade e da generalização das transformações de Lorentz na física relativística de Einstein, cujo ideal filosófico era a construção de uma imagem da natureza dotada de máxima unidade e simplicidade lógica. Em seu realismo crítico-racionalista, Einstein visava elaborar uma “concepção de mundo” que expressasse a unidade lógica da natureza. Esse programa filosófico o fez, ao longo de sua carreira científica, elaborar “grandes sínteses”, buscando a compatibilidade entre diversos sistemas físicos.
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Kidd, Braden. "The Relativistic Electrodynamics of Classical Charged Particles." Magnetism 2, no. 1 (2022): 74–87. http://dx.doi.org/10.3390/magnetism2010006.
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Maxwell’s equations and the Lorentz force equation form the foundation of classical electromagnetic theory and their discovery led to the development of special relativity. Despite this achievement, their universal compatibility with the conservation of momentum and relativistic energy transformations is still debated. Incorporating effects of hidden momentum with the Lorentz force equation or using the Einstein–Laub formula are two common approaches to address some of these concerns. Which method to use, or if a change to classical electromagnetism is even required, remains controversial. A new theoretical approach is presented in this paper to address this using relativistic electromagnetic energy inertial frame transformations. These transformations identify a situation where an apparent violation of conservation laws could occur and how to consolidate this with electromagnetic theory. An explanation regarding the elementary nature of magnetism and the relationship between inertia and electromagnetic energy is also commented on.
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Harmon, Robert J. "A Simple Algebraic Analysis and Its Relation to the Einstein‐Lorentz Transformations." Physics Essays 11, no. 3 (1998): 353–56. http://dx.doi.org/10.4006/1.3025309.
Full textDissertations / Theses on the topic "Lorentz-Einstein transformations"
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Bracco, Christian. "Histoire et Enseignement de la Physique : Lumière, Planètes, Relativité et Quanta." Habilitation à diriger des recherches, École normale supérieure de Cachan - ENS Cachan, 2010. http://tel.archives-ouvertes.fr/tel-00529686.
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Il est possible de concevoir un enseignement de la physique qui incorpore l'histoire de la physique sur un mode qui n'est ni anecdotique, ni autonome et qui peut être décliné à différents niveaux de la formation, des élèves de lycée aux enseignants à l'université. L'introduction du manuscrit porte sur une mise en perspective de la démarche proposée avec des recherches antérieures. Le manuscrit est composé de quatre parties. Dans la partie I, après avoir rappelé les objectifs qui ont prévalu à la réalisation du cédérom « Histoire des idées sur la lumière - de l'Antiquité au début du XXe siècle », qui aborde la lumière à travers une approche historique, expérimentale et philosophique, je propose une utilisation de ce cédérom pour l'enseignement de la diffraction par une approche historique (la disparition des franges intérieures dans l'ombre d'un fil). Dans la partie II, je précise l'enjeu que constitue l'utilisation de la figure géométrique de Newton (1684), accompagnée des coordonnées polaires et des vecteurs, pour mettre à la portée d'un large public l'un des grands succès de la pensée scientifique : la détermination des trajectoires elliptiques des planètes (sans utilisation du calcul différentiel). Dans cette partie, je reviens également sur le modèle d'équant de Kepler, souvent assimilé à un échec, alors qu'il peut ouvrir la voie, dans le cadre de la formation des enseignants, à une discussion renouvelée des dynamiques aristotélicienne et newtonienne. La partie III est une analyse historique de "La Dynamique de l'électron" de Henri Poincaré. Après avoir rappelé le point de vue général de Poincaré sur les sciences et leur enseignement, et avoir situé son travail dans la lignée de Lorentz et des connaissances des géomètres, je reviens sur quatre clés que nous avons proposées (avec Jean-Pierre Provost) pour comprendre la logique du Mémoire : l'utilisation de transformations de Lorentz actives, le rôle de l'action et de son invariance, l'origine de la condition de groupe pour éliminer les dilatations (à travers les lettres à Lorentz de mai 1905) et le rôle des modèles d'électron comme théorème d'existence de la nouvelle dynamique. Dans la quatrième et dernière partie, je donne un historique des travaux de Planck et d'Einstein sur les quanta, afin de comparer leurs approches (étude des dépendances énergétique ou volumique de l'entropie du corps noir) et de les replacer dans une perspective moderne où la notion de mode quantique est la notion fondamentale. Je reviens ensuite sur deux questions naturelles que posent les quanta d'Einstein de mars 1905 pour des étudiants abordant la relativité et le quantique : leur vitesse (à laquelle répond le second postulat de la relativité) et leur indépendance (assujettie au retour à loi de Wien de 1896).
Books on the topic "Lorentz-Einstein transformations"
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Lane, Craig William, and Smith Quentin 1952-, eds. Einstein, relativity and absolute simultaneity. Routledge, 2008.
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Lane, Craig William, and Smith Quentin 1952-, eds. Einstein, relativity, and absolute simultaneity. Routledge, 2006.
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Craig, William Lane, and Quentin Smith. Einstein, Relativity and Absolute Simultaneity. Taylor & Francis Group, 2011.
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Einstein, the aether and variable rest mass: Correcting misunderstandings that have made relativity seem counterintuitive. Jack Heighway, 2008.
Find full textBook chapters on the topic "Lorentz-Einstein transformations"
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French, A. P. "Einstein und die Lorentz-Einstein-Transformationen." In Die spezielle Relativitätstheorie. Vieweg+Teubner Verlag, 1986. http://dx.doi.org/10.1007/978-3-322-90122-4_3.
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"Einstein and the Lorentz-Einstein transformations." In Special relativity. CRC Press, 2017. http://dx.doi.org/10.1201/9781315272597-3.
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Perkins, D. H. "Relativistic transformations and the equivalence principle." In Particle Astrophysics. Oxford University PressOxford, 2008. http://dx.doi.org/10.1093/oso/9780199545452.003.0002.
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Abstract As a precursor of a discussion of invariance principles and symmetries in Chapter 3, we summarize in this chapter relativistic transformations and Lorentz invariance, the Equivalence Principle, and important solutions of the Einstein field equations of general relativity. These are central to our discussions of cosmology in later chapters. Readers familiar with these topics can skip to Chapter 3. The special theory of relativity, proposed by Einstein in 1905, involves transformations between inertial frames (IFs) of reference. An IF is one in which Newton’s law of inertia holds: a body in such a frame not acted on by any external force continues in its state of rest or of uniform motion in a straight line. Although an IF is, strictly speaking, an idealized concept, a reference frame far removed from any fields or gravitating masses approximates to such a frame, as does a lift in free fall on Earth. On the scale of experiments in high-energy physics at accelerators, gravitational effects are negligibly small and to all intents and purposes the laboratory can be treated as an IF. However, on the scale of the cosmos, gravity is the most important of the fundamental interactions. We list here the coordinate transformations, called Lorentz transformations, among IFs in special relativity. These are obtained from two assumptions: that the coordinate transformations should be linear (to agree with the Galilean transformations in the non-relativistic limit); and that the velocity of light c in vacuum should be the same in all IFs (as observed in numerous experiments).
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Baggott, Jim. "De Broglie’s Derivation of λ = h/p." In The Quantum Cookbook. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198827856.003.0005.
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Whatever was going to replace classical physics in the description of radiation and atomic phenomena had to confront the difficult task of somehow reconciling the wave-like and particle-like aspects of light in a single structure. An important clue would come from Einstein’s E=mc2. We tend to want to associate mass (and linear momentum) with material particles. But the Planck–Einstein relation E=hν connects energy with frequency, a determinedly wave-like property. So, here are two very simple yet fundamental equations connecting energy to mass and energy to frequency. Can they be combined? Louis de Broglie thought so, and in 1923 he generalized the discovery made by Einstein in 1905 by extending it to all material particles, and most notably to electrons. The de Broglie relation λ=h/p can be derived quite straightforwardly by comparing the Lorentz transformations for energy and momentum with those for a system of plane waves.
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Freeman, Richard, James King, and Gregory Lafyatis. "Introduction to Special Relativity." In Electromagnetic Radiation. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198726500.003.0005.
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The history of experiments and the development of the concepts of special relativity is presented with an emphasis on Einstein’s postulates of relativity and the relativity of simultaneity. The development of the Lorentz transformations follows Einstein’s work in enunciating the principles of covariance among inertial frames. The mathematics of the geometry of space-time is presented using Miniowski’s space-time diagrams. In developing Einstein’s argument for the reality of special relativity consequences, two examples of apparent paradoxes with their resolution are given: the twin and connected rocket problems. The mathematics of 4-vectors is developed with explicit presentation of the 4-vector gradient, 4-vector velocity, 4-vector momentum, 4-vector force, 4-wavevector, 4-current density, and 4-potential. This section sums up with the manifest covariance of Maxwell’s equations, and the presentation of the electromagnetic field and Einstein stress-energy tensor. Finally, simple examples of electromagnetic field transformation are given: static electric and magnetic fields parallel and transverse to the velocity relating two inertial frames; and the transformation of fields from a charge moving at relativistic velocities.
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Pierrus, J. "Electromagnetism and special relativity." In Solved Problems in Classical Electromagnetism. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198821915.003.0012.
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In 1905, when Einstein published his theory of special relativity, Maxwell’s work was already about forty years old. It is therefore both remarkable and ironic (recalling the old arguments about the aether being the ‘preferred’ reference frame for describing wave propagation) that classical electrodynamics turned out to be a relativistically correct theory. In this chapter, a range of questions in electromagnetism are considered as they relate to special relativity. In Questions 12.1–12.4 the behaviour of various physical quantities under Lorentz transformation is considered. This leads to the important concept of an invariant. Several of these are encountered, and used frequently throughout this chapter. Other topics considered include the transformationof E- and B-fields between inertial reference frames, the validity of Gauss’s law for an arbitrarily moving point charge (demonstrated numerically), the electromagnetic field tensor, Maxwell’s equations in covariant form and Larmor’s formula for a relativistic charge.
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Darrigol, Olivier. "THE ELECTRODYNAMICS OF MOVING BODIES." In Relativity Principles and Theories from Galileo to Einstein. Oxford University PressOxford, 2021. http://dx.doi.org/10.1093/oso/9780192849533.003.0005.
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Abstract Electrodynamics early implied the relative motion of bodies through Faraday’s induction phenomenon. Faraday’s rules and the German theories of electrodynamics all assumed the full relativity of electrodynamic phenomena in their very foundation. In contrast, the Maxwellian field theories implied effects of the motion of bodies with respect to the ether. Maxwell, Hertz, and Heaviside retrieved the relativity of induction by assuming the complete drag of ether by matter, against Fresnel. They still imagined effects of motion through the ether, for instance, a diminished repulsion for charges traveling together through the ether. Toward the end of the century, Lorentz reconciled the electromagnetic field theory with optical relativity by having atoms, ions, and electrons freely move through a stationary ether. He relied on transformations that formally related the states of an electrodynamic system carried by the earth through the ether to the state of the same system at rest in the ether.
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Darrigol, Olivier. "POINCARÉ’S RELATIVITY THEORY." In Relativity Principles and Theories from Galileo to Einstein. Oxford University PressOxford, 2021. http://dx.doi.org/10.1093/oso/9780192849533.003.0006.
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Abstract While lecturing at the Sorbonne, Poincaré compared the competing ether theories and gauged them according to their compatibility with the principle of relativity and the principle of reaction. He decided that the ether, having been the object of so many conflicting theories, was not as substantial as ordinary matter and therefore could not be detected through ether-drift experiments. He thus was the first author to assert the strict validity of the relativity principle in optics and electrodynamics. Toward the end of the century, he deplored that Lorentz’s theory violated the principle of reaction and satisfied the relativity principle only in an artificial and partial manner. In 1900, he interpreted Lorentz’s transformed states, including the local time, as the states measured by moving observers. In 1905, he gave the exact Lorentz transformations as the formal expression of the relativity postulate. He constructed the electron and the gravitational force so as to respect this symmetry.
Conference papers on the topic "Lorentz-Einstein transformations"
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Рысин, Андрей Владимирович, and Игорь Кронидович Никифоров. "IMPROVEMENT OF MAXWELL'S EQUATIONS IN ORDER TO OBTAIN THE RELATION OF ELECTROMAGNETIC AND GRAVITATIONAL FORCES IN ACCORDANCE WITH THE SRT AND GRT OF EINSTEIN." In Наука. Исследования. Практика: сборник избранных статей по материалам Международной научной конференции (Санкт-Петербург, Октябрь 2020). Crossref, 2020. http://dx.doi.org/10.37539/srp293.2020.45.35.009.
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Необходимость появления усовершенствованных уравнений Максвелла связано с имеющими место алогизмами и парадоксами вывода ряда уравнений и утверждений в ныне принятой электродинамике и квантовой механике. Основой предложенного авторами подхода является пространственно-временной континуум по преобразованиям Лоренца-Минковского вкупе с электромагнитным континуумом на основе классических уравнений Максвелла. The need for the appearance of improved Maxwell's equations is related to the existing alogisms and paradoxes of the derivation of a number of equations and statements in the currently accepted electrodynamics and quantum mechanics. The approach proposed by the authors is based on the space-time continuum based on Lorentz-Minkowski transformations together with the electromagnetic continuum based on the classical Maxwell equations.