Academic literature on the topic 'Mass/Energy Einstein equation'

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Journal articles on the topic "Mass/Energy Einstein equation"

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Lo, C. Y. "The Development of Relativity and Einstein." JOURNAL OF ADVANCES IN PHYSICS 10, no. 3 (2015): 2874–85. http://dx.doi.org/10.24297/jap.v10i3.1327.

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There are errors in general relativity that must be rectified. As Zhou pointed out, Einstein’s covariance principle is proven to be invalid by explicit examples. Linearization is conditionally valid. Pauli's version of the equivalence principle is impossible in mathematics. Einstein's adaptation of the distance in Riemannian geometry is invalid in physics as pointed out by Whitehead. Moreover, it is inconsistent with the calculation on the bending of light, for which a Euclidean-like framework is necessary. Thus, the interpretation of the Hubble redshifts as due to receding velocities of sta
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Prasenjit, Debnath, and Ishwarchandra Ngangbam. "The Study of the Energy Conditions of the Universe and Unique Solutions of the Einstein's Field Equations in the Lights of the Theory of General Relativity." Indian Journal of Science and Technology 14, no. 36 (2021): 2826–31. https://doi.org/10.17485/IJST/v14i36.873.

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Abstract <strong>Objectives:</strong>&nbsp;To study the energy conditions of the universe and to find unique solutions of the Einstein&rsquo;s field equations.&nbsp;<strong>Methods:</strong>&nbsp;A mathematical formulation developed to study the energy conditions of the universe and a new way of unique solutions of the famous Einstein&rsquo;s field equations with appropriate theoretical and mathematical analysis of the theory of general relativity.&nbsp;<strong>Findings:</strong>&nbsp;With the reference to the power series expansion of the mass function &circ;M(u; r) developed by Wang and Wu (
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Lo, C. Y. "Incompleteness of General Relativity, Einstein's Errors, and Related Experiments-- American Physical Society March meeting, Z23 5, 2015 --." JOURNAL OF ADVANCES IN PHYSICS 8, no. 2 (2015): 2135–47. http://dx.doi.org/10.24297/jap.v8i2.1515.

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General relativity is incomplete since it does not include the gravitational radiation reaction force and the interaction of gravitation with charged particles. General relativity is confusing because Einstein's covariance principle is invalid in physics. Moreover, there is no bounded dynamic solution for the Einstein equation. Thus, Gullstrand is right and the 1993 Nobel Prize for Physics press release is incorrect. Moreover, awards to Christodoulou reflect the blind faith toward Einstein and accumulated errors in mathematics. Note that the Einstein equation with an electromagnetic wave sourc
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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&amp;rsquo;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&amp;rsquo;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 curr
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Malek, Abdul. "New Physics II – Quantum-Dialectical Derivation of New Mass-Energy Relation Invalidates Einstein’s Famous Equation E = mc2." JOURNAL OF ADVANCES IN PHYSICS 22 (June 22, 2024): 178–84. http://dx.doi.org/10.24297/jap.v22i.9642.

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The notion that human scale inertial mass and the various forms of tangible energy, like kinetic, heat, light, chemical, gravity, etc., have some kind of equivalence; existed since the time of Isaac Newton. Historically, based purely on epistemological and phenomenological perspective, there has been speculative, theoretical, and experimental attempts based on electrostatic, electrodynamic and relativistic, etc., consideration to deduce a quantitative relation between mass and energy. By the turn of 20th century, a vastly oversimplified and wrongly derived relation ΔE = Δmc2, where E is energy
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Bulyzhenkov, I. E. "Einstein Equation for Nondual Field Matter Modifies Naiver-Stokes Dynamics." International Journal of Modern Physics: Conference Series 47 (January 2018): 1860090. http://dx.doi.org/10.1142/s201019451860090x.

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Cartesian extended matter has its own nondual analog of the 1915 Einstein Equation for pure field physics in nonempty moving space. This tensor balance of energy densities and local stresses leads to Maxwell-type equalities for inertial currents and vector geodesic equations for relativistic accelerations of the Ricci scalar for inertial and gravitational mass densities. Field inertia of slow energy flows reestablishes the living force feedback which is missed in Newton-Euler fluid dynamics and in the Navier-Stokes equation.
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PINTO, FABRIZIO. "A TRAPPED DIPOLAR BEC INTERFEROMETRY TEST OF E = mc2." International Journal of Modern Physics D 15, no. 12 (2006): 2235–40. http://dx.doi.org/10.1142/s0218271806009674.

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It is shown that, by arranging the atoms in a Bose–Einstein condensate gas within an optical lattice, it is possible to directly verify experimentally that the van der Waals potential energy contributes an effective change to the gravitational mass of the atoms trapped in the array sites equal to that predicted by Einstein's mass–energy equivalency equation, E = mgc2. Some original results of electrostatics and quantum mechanics in curved space are discussed, and strategies to amplify and observe these effects are quantitatively evaluated to illustrate the feasibility of the novel test propose
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Feroze, Tooba. "Exact solutions of the Einstein–Maxwell equations with linear equation of state." Canadian Journal of Physics 90, no. 12 (2012): 1179–83. http://dx.doi.org/10.1139/p2012-067.

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Two new classes of solutions of the Einstein–Maxwell field equations are obtained by substituting a general linear equation of state into the energy–momentum conservation equation. We have considered static, anisotropic, and spherically symmetric charged perfect fluid distribution of matter with a particular form of gravitational potential. Expressions for the mass–radius ratio, the surface, and the central red shift horizons are given for these solutions.
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Perez, Alejandro, and Salvatore Ribisi. "Energy-mass equivalence from Maxwell equations." American Journal of Physics 90, no. 4 (2022): 305–13. http://dx.doi.org/10.1119/10.0009156.

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The celebrated mass-energy equivalence relation, [Formula: see text], was derived by Einstein using thought experiments involving the kinematics of the emission of light and the relativity principle. Textbook derivations often follow paths similar to Einstein's or analyze the kinematics of particle collisions in different inertial frames. In such derivations, the direct dynamical link with fundamental fields describing matter (e.g., Maxwell theory or other) is overshadowed. Here, we show that the formula can be derived directly from the dynamical equations of electromagnetic energy confined in
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Malaver, Manuel, and Iyer R. "Modelling of Charged Dark Energy Stars in a Tolman IV Spacetime." Open Access Journal of Astronomy 2, no. 1 (2024): 1–12. http://dx.doi.org/10.23880/oaja-16000114.

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In this paper, we obtained a new class of solutions for the Einstein-Maxwell field equations with a charged anisotropic matter distribution considering the dark energy equation of state r p = ωρ , where ω is the dark energy parameter, is the radial pressure and is the energy density. We have chosen a form for the metric potential proposed for Tolman (1939) known as Tolman IV type potential. We found that the physical properties as the radial pressure, the anisotropy, energy density, mass function are regular and well behaved in the stellar interior but the strong energy condition is violated.
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Dissertations / Theses on the topic "Mass/Energy Einstein equation"

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Karhu, Robin. "Targeted Energy Transfer in Bose-Einstein Condensates." Thesis, Linköpings universitet, Teoretisk Fysik, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-98279.

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Targeted Energy Transfer is a resonance phenomenon in coupled anharmonic oscillators. In this thesis we investigate if the concept of Targeted Energy Transfer is applicable to Bose-Einsteain condensates in optical lattices. The model used to describe Bose-Einstein condensates in optical lattices is based on the Gross-Pitaevskii equation. Targeted Energy Transfer in these systems would correspond to energy being transferred from one lattice site to another. We also try to expand the concept of Targeted Energy Transfer to a system consisting of three sites, where one of the sites are considered
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October, Faith Joy. "Transverse and longitudinal Bose-Einstein correlations in antiproton-proton reactions at centre-of-mass energy 630 GeV." Thesis, Stellenbosch : Stellenbosch University, 2002. http://hdl.handle.net/10019.1/53200.

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Thesis (MSc)--Stellenbosch University, 2002.<br>ENGLISH ABSTRACT: We use Hanbury-Brown Twiss interferometry to determine Bose-Einstein correlations in the transverse and longitudinal directions. By using these two directions, we are able to determine the shape of the pion emitting source. The analysis is done with the UA1 (1985) data for pp collisions at Vs = 630 GeV. Two frames of reference, namely the laboratory frame and the Longitudinal Center-of-Mass System (LCMS) are used. A fit to a two-dimensional Gaussian parametrization yields good results. In the laboratory frame, an oblate fo
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Civin, Damon. "Stability of charged rotating black holes for linear scalar perturbations." Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/247397.

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In this thesis, the stability of the family of subextremal Kerr-Newman space- times is studied in the case of linear scalar perturbations. That is, nondegenerate energy bounds (NEB) and integrated local energy decay (ILED) results are proved for solutions of the wave equation on the domain of outer communications. The main obstacles to the proof of these results are superradiance, trapping and their interaction. These difficulties are surmounted by localising solutions of the wave equation in phase space and applying the vector field method. Miraculously, as in the Kerr case, superradiance and
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Rizzo, Carmelo. "Symmetry Energy Effects in Low Energy Heavy Ion Collisions with Exotic Beams." Thesis, Università degli Studi di Catania, 2011. http://hdl.handle.net/10761/124.

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We investigate the reaction path followed by Heavy Ion Collisions with exotic nuclear beams at low energies. The evolution of the system is described by a Stochastic Mean Field transport equation (SMF), where two parameterizations for the density dependence of symmetry energy (Asysoft and Asystiff) are implemented, allowing one to explore the sensitivity of the results to this ingredient of the nuclear interaction. We report the properties of the prompt dipole radiation, produced via a collective bremsstrahlung mechanism, in fusion reactions with exotic beams. We show that the gamma yield is s
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VILAR, NETA Deusalete Câmara. "Defeitos e Modelos de Quintessência." Universidade Federal de Campina Grande, 2016. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/2135.

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Submitted by Emanuel Varela Cardoso (emanuel.varela@ufcg.edu.br) on 2018-11-06T18:02:15Z No. of bitstreams: 1 DEUSALETE CÂMARA VILAR NETA – DISSERTAÇÃO (PPGFísica) 2016.pdf: 962651 bytes, checksum: a355f6b434b034d2c99fa76a8d757ea5 (MD5)<br>Made available in DSpace on 2018-11-06T18:02:15Z (GMT). No. of bitstreams: 1 DEUSALETE CÂMARA VILAR NETA – DISSERTAÇÃO (PPGFísica) 2016.pdf: 962651 bytes, checksum: a355f6b434b034d2c99fa76a8d757ea5 (MD5) Previous issue date: 2016-08<br>Capes<br>Modelos cosmológicos envolvendo campos escalares permitem a descrição de uma fase de expansão cósmica acelerada e
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Holmgren, Tomas. "Emissions of organic compounds from technosphere articles : Measurements and modeling of mass transfer from consumer goods and building materials to air and water." Doctoral thesis, Umeå universitet, Kemiska institutionen, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-66363.

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This thesis describes the development of a generic model for predicting the emissions of organic compounds from materials used in the manufacture of various goods and products. Many products contain organic substances that are not bound to the matrix formed by their constituent materials and are thus able to dissociate from the material and become transferred into the surrounding environment. A wide range of materials and products are used in modern societies, and many compounds deriving from these materials are regarded as emerging pollutants in both indoor and outdoor environments. The model
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Sharpe, Jenny-Kay. "Body composition and energy expenditure in men with schizophrenia." Thesis, Queensland University of Technology, 2007. https://eprints.qut.edu.au/16961/1/Jenny-Kay_Sharpe_Thesis.pdf.

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There is an increase in the prevalence of obesity among people with schizophrenia thought to be due in part to the weight enhancing side-effects of medications commonly used to treat the symptoms of schizophrenia. Despite the deleterious health effects associated with obesity and its impact on quality of life and medication compliance, little is known about body composition and energy expenditure in this clinical group. The primary purpose of this thesis was to enhance understanding of body composition and energy expenditure, particularly resting energy expenditure in men with schizophrenia wh
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Sharpe, Jenny-Kay. "Body composition and energy expenditure in men with schizophrenia." Queensland University of Technology, 2007. http://eprints.qut.edu.au/16961/.

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There is an increase in the prevalence of obesity among people with schizophrenia thought to be due in part to the weight enhancing side-effects of medications commonly used to treat the symptoms of schizophrenia. Despite the deleterious health effects associated with obesity and its impact on quality of life and medication compliance, little is known about body composition and energy expenditure in this clinical group. The primary purpose of this thesis was to enhance understanding of body composition and energy expenditure, particularly resting energy expenditure in men with schizophrenia wh
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Metsios, Giorgos S. "Metabolism and body composition in chronic inflammatory arthritis : prevention and intervention through pharmaceutical and physical means." Thesis, University of Wolverhampton, 2007. http://hdl.handle.net/2436/15396.

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Background: Rheumatoid arthritis (RA) is characterised by excessive production of tumour necrosis factor alpha (TNFα). This leads to rheumatoid cachexia, a condition characterised by increased resting energy expenditure (REE) and loss of fat-free mass (FFM) leading to functional disability, decreased strength and balance. The aims of this research work was to: a) to develop a new REE equation in order to continuously monitor abnormal changes in REE in the RA population, b) to investigate if smoking further enhances hypermetabolism and c) to examine if the new anti-TNFα medication reverses this
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Campos, Serrano Juan. "Modèles attractifs en astrophysique et biologie : points critiques et comportement en temps grand des solutions." Phd thesis, Université Paris Dauphine - Paris IX, 2012. http://tel.archives-ouvertes.fr/tel-00861568.

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Dans cette thèse, nous étudions l'ensemble des solutions d'équations aux dérivées partielles résultant de modèles d'astrophysique et de biologie. Nous répondons aux questions de l'existence, mais aussi nous essayons de décrire le comportement de certaines familles de solutions lorsque les paramètres varient. Tout d'abord, nous étudions deux problèmes issus de l'astrophysique, pour lesquels nous montrons l'existence d'ensembles particuliers de solutions dépendant d'un paramètre à l'aide de la méthode de réduction de Lyapunov-Schmidt. Ensuite un argument de perturbation et le théorème du Point x
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Books on the topic "Mass/Energy Einstein equation"

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Bodanis, David. E=mc2: A biography of the world's most famous equation. Anchor Books, 2001.

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Bartocci, U. Albert Einstein e Olinto De Pretto: La vera storia della formula più famosa del mondo. Andromeda, 1999.

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Bartocci, U. Albert Einstein e Olinto De Pretto: La vera storia della formula più famosa del mondo. Andromeda, 1999.

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Bodanis, David. E=mcp2s: A biography of the world's most famous equation. Anchor Books, 2001.

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Goodrich, Allen C. The universe: A unified theory of mass energy space-time frame mechanics relativity : as defined by the modified Kepler equation for mass energy space-time : or the universe is God. 3rd ed. New Allen Goodrich Enterprises, 1994.

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Fernflores, Francisco. Einstein's Mass-Energy Equation, Volume II. Momentum Press, 2017.

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Bodanis, David. E=mc2: A Biography of the World's Most Famous Equation. Berkley Trade, 2001.

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Bodanis, David. E = mc2: A Biography of the World's Most Famous Equation. Walker & Company, 2000.

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Bodanis, David. E=Mc2: A Biography of the World's Most Famous Equation. ISIS Large Print Books, 2002.

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Bodanis, David. E=mc2: A Biography of the World's Most Famous Equation. Macmillan, 2000.

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Book chapters on the topic "Mass/Energy Einstein equation"

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Günther, Helmut, and Volker Müller. "Einstein ’s Energy–Mass Equivalence." In The Special Theory of Relativity. Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-7783-9_7.

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Gooch, Jan W. "Einstein Theory for Mass–Energy Equivalence." In Encyclopedic Dictionary of Polymers. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_4228.

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Swartzendruber, D. "Capillary rise of water into soil as described by a solution of Burgers' equation." In Environmental Mechanics: Water, Mass and Energy Transfer in the Biosphere. American Geophysical Union, 2002. http://dx.doi.org/10.1029/129gm05.

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Freire-Torres, Mario, and Jaime Carpio. "Contribution to Mathematical Modeling and Numerical Simulation of Welding Processes." In Proceedings of the XV Ibero-American Congress of Mechanical Engineering. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-38563-6_4.

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AbstractThe present work describes a mathematical model for the numerical simulation of the welding process. Initially, the domain Ω is solid to which the heat is released in certain areas. This heat increases the temperature of the solid, and when the fusion temperature is reached, the phase change occurs. At the fusion temperature, there is a mixture between liquid and solid (modelled as a porous medium); above this temperature mentioned; we will find only liquid. Natural convection currents can occur in the liquid due to buoyancy induced by the gravitational field. In order to reproduce all
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Nolte, David D. "The General Theory of Relativity and Gravitation." In Introduction to Modern Dynamics. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198844624.003.0013.

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The intrinsic curvature of a metric space is captured by the Riemann curvature tensor, which can be contracted to the Ricci tensor and the Ricci scalar. Einstein took these curvature quantities and constructed the Einstein field equations that relate the curvature of space-time to energy and mass density. For an isotropic density, a solution to the field equations is the Schwarzschild metric, which contains mass terms that modify both the temporal and the spatial components of the invariant element. Consequences of the Schwarzschild metric include gravitational time dilation, length contractio
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Alpher, Ralph A., and Robert Herman. "Development of the Current Big Bang Model." In Genesis of the Big Bang. Oxford University PressNew York, NY, 2001. http://dx.doi.org/10.1093/oso/9780195111828.003.0003.

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Abstract The origin of modern mathematical modeling of the universe is usually attributed to Einstein. After publication of his general theory of relativity, Einstein developed the first model of the cosmos with large-scale properties as he understood them to be. This was published in 1917 in a paper called “Cosmological Considerations in the General Theory of Relativity.” Among the assumptions in this model, the most important to Einstein was that on a scale spanning its major observational features, the universe was homogeneous and isotropic (the same features would be observed wherever one
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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? Lou
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Yang, Yisong. "Einstein equations and related topics." In Mathematical Physics with Differential Equations. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780192872616.003.0010.

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Abstract This chapter introduces the Einstein equations of general relativity and some of their direct consequences. It begins with a brief discussion on Riemannian geometry, a calculation of the metric energy-momentum tensor, and a derivation of the Einstein equations for gravitation. It then elaborates on some cosmological consequences of the Einstein equations and presents Schwarzschild’s black-hole solution and Reissner and Nordström’s charged black-hole solution. It then covers gravitational mass and the Penrose bounds and considers gravitational waves in weak gravity limit. Finally, it d
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d’Inverno, Ray, and James Vickers. "Linearized gravitational waves and their detection." In Introducing Einstein's Relativity, 2nd ed. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198862024.003.0021.

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Abstract Chapter 21 starts by looking at the linearized Einstein equations, where one is studying small perturbations from flat space-time. It shows that each component of the linearized equations can be written as a wave equation with the source given by the corresponding component of the energy–momentum tensor. This shows how the motion of material sources generates gravitational waves. An explicit computation is done for two stars orbiting a common centre of mass, and the gravitational energy that is emitted is computed, showing the decay of the orbit and the corresponding change in the per
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Carlip, Steven. "The stress-energy tensor." In General Relativity. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198822158.003.0007.

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The “source” of gravity in the Einstein field equations is the stress-energy tensor. After a discussion of why gravitational mass should be part of a rank two tensor, this chapter derives the stress-energy tensor for a variety of types of matter: point particles, perfect fluids, scalar fields, and electromagnetism. The chapter discusses the relationship of differential and integral conservation laws, and introduces the problem of gravitational energy. It concludes with a discussion of one of the most remarkable results of general relativity, the fact that equations of motion for matter do not
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Conference papers on the topic "Mass/Energy Einstein equation"

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Khan, M. M., G. Zatzman, and M. R. Islam. "The Formulation of a Comprehensive Mass and Energy Balance Equation." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-69171.

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Nanotechnologies are considered to be the driver of the Information-Age engineering. Recent discoveries in practically all aspects of engineering developments indicate that properties at nano-levels are starkly different from properties at bulk levels. These discoveries signal great potentials for nanotechnologies that can revolutionize all technologies, ranging from medicine to energy. However, the same discoveries also point to the fact that conventional laws and theories that have enjoyed long-standing confidence of the scientific community do not apply to nanotechnologies. In absence of su
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Guo, Zeng-Yuan, and Bing-Yang Cao. "Mass Nature of Heat and Its Applications I: Motion of Thermomass Fluid and General Heat Conduction Law." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22505.

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The concept of thermomass is defined as the equivalent mass of thermal energy according to the Einstein’s mass-energy relation. Hence, the phonon gas in dielectrics can be regarded a weighty, compressible fluid. Heat conduction in the medium, where the rest mass lattices or molecules acts the porous framework, resembles the gas flow through the porous medium. Newton mechanics has been applied to establish the equation of state and the equation of motion for the phonon gas as in fluid mechanics, since the drift velocity of a phonon gas is normally much less than the speed of light. The momentum
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Cao, Bing-Yang, and Quan-Wen Hou. "Mass Nature of Heat and Its Applications II: Non-Fourier Heat Conduction in Carbon Nanotubes." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22507.

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Carbon nanotubes (CNTs) have attracted much attention in nanotechnology fields because of their unique thermal properties. The thermal conductivity of CNTs was reported to be as high as several thousand W/mK. The heat flux in CNTs can reach 109−1012 W/m2 under normal heat conduction conditions. In this paper we demonstrate that Fourier’s heat conduction law breaks down for so high heat flux. Based on a novel concept of thermomanss, which is defined as the equivalent mass of thermal energy according to Einstein’s mass-energy relation, heat conduction in CNTs can be regarded as the flow of a pho
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Guo, Jia, Weiwei Jiang, and Zhu Benchao. "Einstein Energy-Momentum Pseudotensor in Generalized Covariant Equation." In 2016 International Conference on Education, Management and Computer Science. Atlantis Press, 2016. http://dx.doi.org/10.2991/icemc-16.2016.241.

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Popkov, Vyacheslav, Alexander Sterenberg, Vladimir Gusev, and Andrey Tyutyaev. "COGNITIVE GEOLOGY OF SUPERIMPOSED SCATTERING OF MOBILE ORE ELEMENTS, PROPER FORMS OF MULTISCALE STRUCTURAL STRESS STABILITY, BIOGENETIC ACCESS CODE OF RESOURCES AND FIELD ARTEFACTS." In GEOLINKS International Conference. SAIMA Consult Ltd, 2020. http://dx.doi.org/10.32008/geolinks2020/b1/v2/11.

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The authors present the theory is numerical / analytical method of multi-scaled 4D geomechanics – geo-dynamics of energy integration in geo-physical rhythms of Eigen-solution of Navier-Stokes equations for multi-level geological time space of evolution in structural compacted mass transfer at the basis of Newton’s Differential Law ∫V∫TρdS·∂2ξ/∂t2 following the integration formula of A. Einstein E(u,t)=ρVC2+∫V∫Tρ‹uv›dtdx. Сreate the theory (Restoration) and Maintenance of Water Eco-System with Given Parameters. They establish the geophysical seismic rhythms of geological cycles in deep structur
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Guo, Zeng-Yuan, Bing-Yang Cao, and Quan-Wen Hou. "A Novel Driving Force for Nanodevices." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18545.

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Design and construction of nanomotors are one of the most attractive fields in nanotechnology. Following the introduction of a novel concept of the thermomass, the relative mass of a phonon gas based on the Einstein’s energy-mass relation, the continuum and momentum conservation equations for the phonon gas are established to characterize the hydrodynamics of the phonon current in a solid. Like the gas flows in the porous mediums, the phonon current in a dielectric solid imposes a driving force on the solid framework atoms, which can be calculated quantitatively and can be applied to actuate n
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Okun, L. B. "THE EVOLUTION OF THE CONCEPTS OF ENERGY, MOMENTUM, AND MASS FROM NEWTON AND LOMONOSOV TO EINSTEIN AND FEYNMAN." In Proceedings of the Thirteenth Lomonosov Conference on Elementary Particle Physics. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812837592_0003.

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Su, Chih-Wei, and Fan-gang Tseng. "On Nano Particles Traveling Into Nanochannel From a Micro Flow Field." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18299.

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In this paper, we have (1) built a micro flow network that mimics micro vessels and visualized the flow inside utilizing both experimental and CFD approaches, (2) developed a model, which considering both the inertial forces caused by flow convection and the diffusion resulting from Brownian motion, to evaluate the entrapment probability of nanoparticles with various particle sizes and channel geometries from micro flow field into nanochannels. In the experimental results, the spatial resolution of about 2 μm is employed to resolve the near-wall flow field with 50% interrogation spot overlappi
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Gilbert, Robert B., and Kelly Kissock. "The Effect of Thermal Mass on Thermal Transmission Loads." In ASME 2007 Energy Sustainability Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/es2007-36101.

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A finite-difference model is used to simulate the effects of thermal mass on thermal load. A sinusoidal function is used to simulate the exterior air temperature. The interior air temperature set point remains constant. The mechanism by which thermal mass affects thermal load is described. Equations are given to calculate thermal load as a function of the exterior air temperature amplitude, the temperature above and below the mean temperature. Equations are given to calculate the minimum thermal load resulting from thermal mass and therefore the maximum thermal load reduction with thermal mass
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Yan, Chunji, Xinxiang Pan, and Xiaowei Lu. "Mechanisms of Thin-Film Evaporation Considering Momentum and Energy Conservation." In ASME 2013 4th International Conference on Micro/Nanoscale Heat and Mass Transfer. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/mnhmt2013-22157.

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A mathematic model, which can be used to predict the evaporation and fluid flow in thin film region, is developed based on momentum and energy conservations and the augmented Young-Laplace equation in this paper. In the model the variations of the enthalpy and kinetics energy of the thin-film along the evaporating region are considered. By theoretical analysis, we have obtained the governing equation for thin film profile. The fluid flow and phase-change heat transfer in an evaporating extended meniscus are numerically studied. The differences between the model considering momentum conservatio
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Reports on the topic "Mass/Energy Einstein equation"

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Avery, R. E. Bose-Einstein correlations of pions in e/sup +/e/sup minus/ annihilation at 29 GeV center-of-mass energy. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6398651.

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Alexopoulos, Theodoros. A Measurement of the Bose-Einstein Correlation for the Two Pions in $p\bar{p}$ Collisions at Center-of-Mass Energy 1.8-TEV. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/1426701.

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Luc, Brunet. Systematic Equations Handbook : Book 1-Energy. R&D Médiation, 2015. http://dx.doi.org/10.17601/rd_mediation2015:1.

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The energy equation handbook is the complete collection of physically coherent expression of energy computed using from 2 to 7 physical units among: density(ML-3) energy (ML2T-2) time (T) force (MLT-2) power (ML2T-3) current (I) temperature (Th) quantity (N) mass (M) length (L) candela (J) surface (L2) volume (L3) concentration (ML-3) frequency (T-1) acceleration (LT- 2) speed (LT-1) pressure (ML-1T-2) viscosity (ML-1T-1) luminance (L- 2J) MolarMass (MN-1) MassicEnergy (L2T-2) resistance (ML2T-3I-2) voltage (ML2T-3I-1) Farad (M-1L-2T4I2) Thermal- Conductivity (MLT-3Th-1) SpecificHeat (L2T-2Th-
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Esparza and Westine. L51482 Well Casing Response to Buried Explosive Detonations. Pipeline Research Council International, Inc. (PRCI), 1985. http://dx.doi.org/10.55274/r0010272.

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Occasionally, buried explosives are used within proximity of producing oil and gas wells which increases the stresses in the casing near the explosion which may result in failure of the well. A procedure was needed for predicting the maximum stresses in producing oil and gas wells, specifically the well casing, induced by nearby, buried, explosive detonations. An extensive experimental and analytical program were funded and performed over a six (6) year period 1975-1981. The program was divided into two (2) parts: In the first part, similitude theory, empirical analyses and test data were used
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