What is Einstein: Definition and 807 Discussions

Albert Einstein ( EYEN-styne; German: [ˈalbɛʁt ˈʔaɪnʃtaɪn] (listen); 14 March 1879 – 18 April 1955) was a German-born theoretical physicist, widely acknowledged to be one of the greatest physicists of all time. Einstein is known for developing the theory of relativity, but he also made important contributions to the development of the theory of quantum mechanics. Relativity and quantum mechanics are together the two pillars of modern physics. His mass–energy equivalence formula E = mc2, which arises from relativity theory, has been dubbed "the world's most famous equation". His work is also known for its influence on the philosophy of science. He received the 1921 Nobel Prize in Physics "for his services to theoretical physics, and especially for his discovery of the law of the photoelectric effect", a pivotal step in the development of quantum theory. His intellectual achievements and originality resulted in "Einstein" becoming synonymous with "genius".In 1905, a year sometimes described as his annus mirabilis ('miracle year'), Einstein published four groundbreaking papers. These outlined the theory of the photoelectric effect, explained Brownian motion, introduced special relativity, and demonstrated mass-energy equivalence. Einstein thought that the laws of classical mechanics could no longer be reconciled with those of the electromagnetic field, which led him to develop his special theory of relativity. He then extended the theory to gravitational fields; he published a paper on general relativity in 1916, introducing his theory of gravitation. In 1917, he applied the general theory of relativity to model the structure of the universe. He continued to deal with problems of statistical mechanics and quantum theory, which led to his explanations of particle theory and the motion of molecules. He also investigated the thermal properties of light and the quantum theory of radiation, which laid the foundation of the photon theory of light. However, for much of the later part of his career, he worked on two ultimately unsuccessful endeavors. First, despite his great contributions to quantum mechanics, he opposed what it evolved into, objecting that nature "does not play dice". Second, he attempted to devise a unified field theory by generalizing his geometric theory of gravitation to include electromagnetism. As a result, he became increasingly isolated from the mainstream of modern physics.
Einstein was born in the German Empire, but moved to Switzerland in 1895, forsaking his German citizenship (as a subject of the Kingdom of Württemberg) the following year. In 1897, at the age of 17, he enrolled in the mathematics and physics teaching diploma program at the Swiss Federal polytechnic school (later renamed as ETH Zurich) in Zürich, graduating in 1900. In 1901 he acquired Swiss citizenship, which he kept for the rest of his life, and in 1903 he secured a permanent position at the Swiss Patent Office in Bern. In 1905, he was awarded a PhD by the University of Zurich. In 1914, Einstein moved to Berlin in order to join the Prussian Academy of Sciences and the Humboldt University of Berlin. In 1917, Einstein became director of the Kaiser Wilhelm Institute for Physics; he also became a German citizen again – Prussian this time. In 1933, while Einstein was visiting the United States, Adolf Hitler came to power. Einstein did not return to Germany because he objected to the policies of the newly elected Nazi-led government. He settled in the United States and became an American citizen in 1940. On the eve of World War II, he endorsed a letter to President Franklin D. Roosevelt alerting him to the potential German nuclear weapons program and recommending that the US begin similar research. Einstein supported the Allies, but generally denounced the idea of nuclear weapons.
Einstein bequeathed his personal archives, library and intellectual assets to the Hebrew University of Jerusalem in Israel.

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  1. M

    Einstein tensor with the cosmological constant present.

    I can fairly well grasp the trace relationship between the Einstein tensor and the Ricci tensor, and see that Ricci tensor is a multiple of the metric. If the cosmological constant is included I don't get why the Einstein tensor shouldn't become a multiple of the metric (leaving out physical...
  2. M

    Motivation behind vacuum Einstein equation

    Hi, I am using Hartle to study GR and at one point, there is a leap that I don't understand. He finds the result for the geodesic deviation equation and introduces the Riemann curvature tensor. Then, we are told that there is an object called the Ricci curvature tensor which is a...
  3. L

    Bohr's response to the Einstein box

    During one of the Einstein-Bohr debates, Einstein proposed a thought experiment that would prove that one could measure time and energy simultaneously. It's known as the Einstein box: http://en.wikipedia.org/wiki/Bohr%E2%80%93Einstein_debates#Einstein.27s_second_criticism Then Bohr came up...
  4. P

    What does the mass represent in the Schwarzschild metric for vacuum solutions?

    Sorry if I am asking a too trivial question! I am having a confusion regarding the following-The solution to Einstein equation in vacuum is given by the Schwarzschild metric. However, what does the mass represent in the metric in Schwarzschild coordinate? Whose mass is it and how does it enter...
  5. shounakbhatta

    Exploring the Einstein Tensor and its Physical Implications

    Hello, Please excuse me if the following questions are very mundane: (1) The Einstein tensor in indices form: Guv=Ruv-1/2guvR Does uv means the indices i.e. just as we define row column in a matrix.? (2) The Einstein tensor is symmetric. Does that mean in matrix as we mean aij=aji...
  6. H

    Bras and kets vs. Einstein summation convention

    Greetings, This is just an opinion question about notations. Having learned the basics of bra-ket notation and using the ESC, as far as I can tell, ESC is just plain better, at least when dealing with finite bases. Using bras and kets, you can represent and manipulate states using...
  7. F

    Einstein notation question

    While taking notes in class, I was trying to write the moment of inertia tensor in Einstein notation as Iij instead of a 3x3 matrix, but when we diagonalized the matrix with diagonal elements Ii, I was confused on how to write it. Ii doesn't work because that means that treats it as a vector...
  8. N

    Einstein on his discovery of the speed of light

    This is quoted from "The Elegant Universe" "the velovity of light is a kind of cosmic speed limit, a speed that nothing in the universe can exceed." - The Elegant Universe, On Einsteins Discovery My Question is, How did einstein test/know this? How could he have possibly known what the...
  9. F

    Space-time Concept by Einstein

    Good day! I am quite blur with the Space-time concept proposed by Einstein. Can anyone explain briefly on what he meant by that term(Space-time)? 3-D space+1-D time? :confused:
  10. J

    Determining the commutation relation of operators - Einstein summation notation

    Determining the commutation relation of operators -- Einstein summation notation Homework Statement Determine the commutator [L_i, C_j] . Homework Equations L_i = \epsilon_{ijk}r_j p_k C_i = \epsilon_{ijk}A_j B_k [L_i, A_j] = i \hbar \epsilon_{ijk} A_k [L_i, B_j] = i \hbar...
  11. D

    How Did Einstein Manage To Even Come Up With The Theory Of Special Relativity?

    I am aware of the motives of finding a modification of Newtonian mechanics, but the effects of relativity are so subtle and negligible. How in the world was he able to even find it? Even at speeds of the Earth orbiting the Sun, the effects are almost negligible. I know he started out with a...
  12. S

    Simple GR Einstein Notation Question

    In reviewing some basic GR (just to keep my old brain sharp), i was looking at the Einstein notation cinvention and was a bit confused. I see how you do the dot product of say: ei.ej = δij (i.e. 1 or 0) But then the book I'm reading talks about ei.ej or ei.ej. Isn't that just the...
  13. C

    Regarding Einstein Summation Convention

    So, I realize the basic theory behind Einstein Summation Convention is that any repeated set of indices implicitly indicates a sum over those indices. However, what if an index is repeated three times? For example, my mathematics professor posted this problem: εijkajaj = ? As you can...
  14. P

    Linearized Einstein Field Equations

    Hi everyone, Say that one can separate the metric of a space time in a background metric and a small perturbation such that g_{\alpha \beta}=g'_{\alpha \beta}+h_{\alpha \beta}, where g'_{\alpha \beta} is the background metric and h_{\alpha \beta} the perturbation. Computing the christoffel...
  15. G

    Finding Einstein notation version of a given flow equation

    Homework Statement This is from lecture, not a homework problem per se. But I need assistance. The problem was to write this form of a flow equation in Einstein's notation: Homework Equations \frac{\partial }{ \partial x_1}(K_1 \frac{\partial h}{\partial x_1}) + \frac{\partial }{...
  16. J

    Writing the Einstein action in terms of tetrads

    In the paper http://arxiv.org/pdf/hep-th/9301028.pdf pages 8-9 Pullin shows how to write the Einstein action in terms of tetrads e^a_I. Part of the proof is: "...the last term yields e_M^{[a} e_N^{b]} \delta^M_{[I} \delta^K_{J]} C_{bK}^{\;\;\; N}. It is easy to check that the prefactor in this...
  17. M

    Question about Einstein inserting the cosmological constant

    In Gravitation by MTW in section 17.3, they state (I assume it was a typo putting the cosmological constant in the center portion) Changing the symbol of the Einstein tensor and the cosmological constant to L and Ω so as not to confuse myself, I can see how with...
  18. M

    London theory, Landau theory and Lorentz Einstein law

    London theory, Landau theory... and Lorentz Einstein law I am trying to learn all I can about superconductivity and discovered an interesting document in Internet. Does the Lorentz Einstein law hold true for the supercurrent : 1) of the London approach? js = ... ∂θ/∂r - A where θ is the...
  19. G

    How time did Einstein waste on a unified field theory

    The weak force was not discovered until 1953 or thereabouts so that pretty much made Einstein's attempt to unify all forces an impossible task. Does anyone know how much time he wasted on trying to find a unified field theory? Other than write a paper on gravitational lensing and the EPR paradox...
  20. andrewkirk

    Solving Einstein Notation: Summing Subscripts and Superscripts

    \vec{v} = v^i\vec{e}_i = g(\vec{v},\vec{e}_i)\vec{e}_i The last bit is a sum over i but will need a Ʃ because the Einstein rule only applies to matched superscripts and subscripts and here bot the i are subscripts. Even if I write out the metric in the basis it doesn't work...
  21. A

    Quick question of Einstein Field Equations

    I have seen and read a few different versions of the Einstein field equations (EFE). For example; R_{\mu\nu} - \frac{1}{2}g_{\mu\nu}R = - 8\piGT_{\mu\nu} , R_{\mu\nu} - \frac{1}{2}g_{\mu\nu}R + g_{\mu\nu}\Lambda = \frac{8 \pi G}{c^4}T_{\mu\nu} , and 8\piT_{\mu\nu} = G_{\mu\nu} So which one is...
  22. I

    Determinat formula in Einstein notation

    Hi all, I've been looking around at formulae for determinants (using them for tensor densities) and I just want to clarify that the expression below is correct (i.e. formulae are correct): |M| = \sum^n_{a_1,a_2, \ldots ,a_n = 1} \epsilon_{a_1a_2 \ldots a_n} M_{1a_1}M_{2a_2} \ldots M_{na_n}...
  23. sunrah

    Calculating Einstein Coefficient for Nitrogen Transition from 32P1/2 to 32S1/2

    Homework Statement Calculate the Einstein coefficient of spontaneous emission for nitrogen transitioning from Ei: 32P1/2 to Ek: 32S1/2. Total duration τ = 16ns, emission wavelength λ = 589.593 nm. Homework Equations The Attempt at a Solution I want to use A_{ik} =...
  24. G

    I'm sorry, I don't understand what you are asking for. Could you please clarify?

    Hi all, I have been trying to solve the Einstein Field Equations for its (0,0) component. So I have got that (c=1) Einstein Tensor (upper,0,0)=8*pi*G*T(upper,0,0) Now, let's see what T (0,0) really is. It is energy density, right? So According to famous E=mc^2 the energy density is the same...
  25. B

    Exploring the Constancy of Light in Vacuum: Einstein vs Maxwell's Equations

    Einstein postulated that the speed of light in vacuum is constant and is the same for all observers. It this related to the fact that in Maxwell's equations for electromagnetic waves in a vacuum, c = \frac {1} {\sqrt{\mu_0 \epsilon_0}} ? The electric and magnetic constants, which are...
  26. P

    Degrees of freedom of an oscillator in an Einstein solid

    I was reading through a book on statistical physics when i came across this sentence: "An Einstein solid has two degrees of freedom for every oscillator." How is this possible? I picture an oscillator (ex. mass on spring) to move only in one dimension, thus one degree of freedom. Where does...
  27. F

    Relating Einstein Tensor to Reality

    Hi, So I have taken a math course dealing with the mathematics behind GR. In it I learnd how to calculate many of the objects that GR deals with such as curvature tensors, geodesics and so on. However, not much physical explination into how these object tie into gravity was discussed (due...
  28. C

    A question of Einstein field equation

    I got some trouble from this question: For a given metric: ds2 =t-2(dx2-dt2), derive the energy-momentum tensor which satisfies the Einstein equation: Rαβ- 1/2Rgαβ=8\piGTαβ. I got the Ricci scalar R=2, but Tαβ=0 for all α,β. Does this means a curved spacetime without any source(energy-momentum...
  29. S

    Did Albert Einstein Really Say: "I Did It Myself"?

    So, I've recently come across the following quote: "I am thankful to all those who said NO to me. It's because of them I did it myself." -A. Einstein I've tried googling to see if there's any proof he actually said that, but my search yielded little to no result. So, now I'm here and I need...
  30. I

    Revisiting Einstein's Biggest Blunder: Uncertainty and its Impact on Science

    Einstein thought the cosmological constant was the biggest blunder of his life. however, I think his biggest blunder was refusing uncertainty. dou you agree?
  31. M

    Does the Pole-Barn Paradox Challenge Einstein's Theory of Relativity?

    I'm sure many of you are familiar with the "Pole-Barn" paradox. It demonstrates the concept (or lack of) simultaneity from two different inertial reference frames. (basically whether 2 events happen at the same time depends on the relative speed of the observer) My paradox concerns a...
  32. S

    Einstein: Balancing 3D Positions & Time in E=mc2

    If Eisenstein taught us the space time is one and the same thing, then how did he mathematicaly prove that. How did he put dimentions into his E=mc2 formula. The first 3 dimensions are strictly positions, positions in 3D require 3 numbers, and time is linear movement in one direction, the...
  33. M

    Concerning the 1920 Einstein Derivation of the Lorentz Transformation

    I have been reading Lieber's book "The Einstein Theory of Relativity" which describes the derivation of the Lorentz Transformations: archive.org/details/einsteintheoryof032414mbp -- see pages 39-56 bartleby.com/173/a1.html The entire derivation makes no sense, whatsoever. Why is it...
  34. B

    Euler Lagrange equation as Einstein Field Equation

    I want to prove that Euler Lagrange equation and Einstein Field equation (and Geodesic equation) are the same thing so I made this calculation. First, I modified Energy-momentum Tensor (talking about 2 dimension; space+time) : T_{\mu\nu}=\begin{pmatrix} \nabla E& \dot{E}\\ \nabla p &...
  35. C

    General Relativity: Prove symmetry of Einstein tensor

    Homework Statement Show that Gij = Gji using the Riemann tensor identity (below) Homework Equations Gij = Rij - 1/2(gijR) Rabcd + Rbcad + Rcabd = 0 R = gmrRmr Rmr = Rmnrn The Attempt at a Solution I have tried to put the Ricci tensor and Ricci scalar (from the Gij...
  36. S

    [Not Homework] Converging Series Problem (Fly and Einstein)

    This is not homework but a problem I would like to learn to solve before my exam. Homework Statement https://dl.dropbox.com/u/23889576/Screenshots/01.png Homework Equations Series Formulae The Attempt at a Solution I went about trying to determine a sum formula for the fly's...
  37. L

    How Einstein field equation becomes the Poisson equation?

    I want to show that ∇2ϕ=ρ/2, which governs gravity in Newtonian physics? I found solution of this question in [General Relativity for Mathematicians, R.K.Sachs and H.Wu, 1997, page 112&271]. Solution refer to optional exercise as follows: Let R^ be the (0, 4) –tensor field physically...
  38. Z

    Multiplicity of an Einstein solid

    Okay, I am not sure if this is the right subforum, but here goes: An einstein solid is a solid composed of N quantum harmonic oscillators, which can store evenly spaced energy units q. Now suppose we have an einstein solid of N oscillators with q energy units, where q>>N. My book wants to...
  39. F

    Bose Einstein condensate/ atom laser

    Dear, I am reading a paper on Bose Einstein condensate and an atom laser. I have two questions which are bothering me for a time. - When you are going to make do all the atoms start with the same the Broglie wavelenghts or do they start with different wavelenghts due to different...
  40. N

    Difference between Lorentz and Einstein

    For Dalespam: The difference between Lorentz and Einstein is that the transformation is only applicable to one frame and must be fully inverse for the moving frame. Lorentz transform into the moving frame but invert the calculation to arrive back at the stationary one. The transformation is...
  41. D

    When Einstein knew gravity is geometry and not force

    no gut? well, from GR or LQG as well, gravity is not force but geometry right? When einstein knew gravity is geometry and not force, why did he try to unify them? Will we have 3 fundamental forces. Is gut ruled out?
  42. R

    Einstein equation and particle jets

    Does anyone know if Einstein equation predicts the existence of particle jets fired by massive black holes observed by NASA from active galaxies? If yes, what would be the predicted relation between the black hole mass and rotation speed to the flux of matter ejected, how long these jets...
  43. J

    Lorentz Vs. Einstein Who Wins?

    Lorents and Einstein both made equations to describe time dialation. One of these equations was used in quantum mechanics, the other equation was then used in cosomology. These equations then made two new areas in physics. One describes one area of physics and the other describes an area of...
  44. SkyWatcher

    Relativity: The General and Special Theory by Albert Einstein

    Dear Professors and learned readers, The book Relativity: The General and Special Theory by Albert Einstein is, in my opinion worthy of discussion in this forum. My particular questions concerning this book are: 1. Why do you think it not used in high schools since the author recommends this...
  45. M

    Did Albert Einstein Say "Everything is Energy"?

    Hi, someone posted the following quote on facebook this morning, attributed to Albert Einstein: "Everything is energy and that’s all there is to it. Match the frequency of the reality you want and you cannot help but get that reality. It can be no other way. This is not philosophy. This is...
  46. D

    Language in which Einstein intuitively discovered GR

    Hi all, Einstein definitely had to learn tensors from someone else <via correspondence>. But he did not need tensors to intuitively get idea of curvature. So, Can some one share in that simple language, How he got the intuition that space time should be curved in accelerated/...
  47. W

    Einstein Coefficients and Line Spectra

    The lifetime of the 32P1/2 to 32S1/2 transition of the Na atom at 5896 angstrom (one of the Na D lines) is measured to be 16.4 ns. What are the einstein a and b coeff? What is the transition moment in debye? What is the peak absorption cross section for the transition in angstrom2, assuming...
  48. N

    Einstein Tensor; What is wrong here?

    Start with \nabla^{\mu}R_{\mu\nu}=\nabla^{\mu}R_{\mu\nu} Insert \nabla^{\mu}R_{\mu\nu}=\nabla^{\mu}\frac{g_{\mu\nu}g^{\mu\nu}}{4}R_{\mu\nu} Contract the Ricci Tensor \nabla^{\mu}R_{\mu\nu} = \nabla^{\mu}\frac{g_{\mu\nu}}{4}R Thus...
  49. A

    Understanding Einstein's Solid: Calculating Multiplicity of Energy States

    Reading about einstein's model of a solid as being made up by quantum harmonic oscillators. Now while the idea is VERY interesting, I think my book's explanation of the multiplicity of an energy state is quite flawed. One can easily derive a simple formula using the binomial coefficient...
  50. Z

    Questions about Equivalence principle & Einstein Elevator?

    Einstein inoculated general relativity with the help of equivalence principle and space elevator as shown in the following link http://www.astronomynotes.com/relativity/s3.htm QUESTIONS 1- What is the direction of weight [force] of a person standing on the floor of aforementioned...
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