Einstein Definition and 809 Threads

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. T

    Exploring the Grand Partition Function for an Einstein Solid

    $$Q_{(\alpha, \beta)} = \sum_{N=0}^{\infty} e^{\alpha N} Z_{N}(\alpha, \beta) \hspace{1cm} (3.127)$$ Where ##Q## is the grand partition function, ##Z_N## is the canonical partition function and: $$\beta = \frac{1}{kT} \hspace{1cm} \alpha = \frac{\mu}{kT} \hspace{1cm} (3.128)$$ In the case of an...
  2. A

    I Einstein vs Newton: The concept of inertial vs non inertial frames

    Is concept of inertial vs non inertial frame inveted in Einsten theory of relativity or Newton knows that we can see on same object from different perspective? (Newton set 3 laws for inertial frame,so did he knew for realitivtiy when view object form different perspective/frame and did he...
  3. ShadownightPrograms

    I Many-Worlds Theory: Simulation Program in C#

    Here is the Code File in an txt. I can on request provied the whole Program, which includes the PSE, AtomFunctions and many useful but not all implemented Funtions to solve the Many Worlds Problem in C#. Please feel free to ask questions via here or email [e-mail address deleted by Mentors] I...
  4. Einstein's PhD thesis

    Einstein's PhD thesis

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  5. Athenian

    Einstein Summation Convention Question 2

    Below is my attempted solution: $$\epsilon_{ij \ell} \, \epsilon_{km \ell} \, \epsilon_{ijm} \, a_k$$ $$\Rightarrow (\delta_{ik} \, \delta_{jm} - \delta_{im} \, \delta_{jk}) \epsilon_{ijm} \, a_k$$ $$\Rightarrow \delta_{ik} \, \delta_{jm} \, \epsilon_{ijm} \, a_k - \delta_{im} \, \delta_{jk}...
  6. Athenian

    How Can I Simplify and Solve the Einstein Summation Convention Problem?

    Attempted Solution: $$a_i \, b_j \, c_k \, \epsilon_{ij \ell} \, \epsilon_{3k \ell}$$ $$a_i\, b_j\, c_k\, (\delta_{i3} \, \delta_{jk} - \, \delta_{ik}\, \delta_{j3})$$ Beyond this, though, I am quite lost. I know I am very close to the answer, but seeing this many terms can become fairly...
  7. tanaygupta2000

    Temperature of Bose Einstein Condensation

    For finding n, I believe that directly applying the above formula gives the results. But I am confused whether I have to put the value of given temperature T = 100K or the actual temperature Tc for Rb-87 at which BE Condensation occurs (i.e. 100 nK, which I got from a quick Google search)? Or do...
  8. C

    I Did Einstein Formulate an Aberration of Light Using Tangents?

    Hello, everyone. I am trying to find an aberration of light formula in Einstein's writings that is given in terms of tangents. I did a fairly thorough internet search and all I could find was the formula he wrote in terms of cosines. Yet I have a vague memory that somewhere he did give the...
  9. T

    The variation of the information content of a large Einstein solid

    For ##q >> N ##. ##\Omega \approx \left( \frac{eq}{N} \right)^N \text{ } (2)## (Schroeder, An introduction to thermal physics (2.21)). Can we argue that: ##\Delta I = - \Delta S \text{ } (3)?## How large can ##\Delta N##, be? Thank you for your time.
  10. Buckethead

    B Why are there 4 dots in Einstein rings?

    I was looking at the images of Einstein rings in a recent press release. https://hubblesite.org/contents/media/images/2020/05/4613-Image?news=true And in these images as well as others I have seen in the past, i.e. https://www.space.com/28744-cosmic-lens-4-supernova-views-photo.html there...
  11. Demystifier

    I History of E=mc^2 Before Einstein

    A short historical paper gives evidence that Einstein was not the first who discovered ##E=mc^2##. https://arxiv.org/abs/physics/0608289
  12. Lincon Ribeiro

    I Lorentz Arguments for Ether: Critical Analysis of 1895 Paper

    I bought the book "The principle of Relativity" by Einstein et al. and was really surprised by the (low) level of explanation by Lorentz regarding the compression of rods on the experiment carried out by Michelson & Morley. I reproduce part of it below: Well, he gave absolutely no arguments to...
  13. R

    Some lines from the book "Ideas and Opnions" by Albert Einstein

    I read these lines from the book Ideas and Opinions by Albert Einstein- "Gradually the conviction gained recognition that all knowledge about things is exclusively a working-over of the raw material furnished by the senses." what I interpret from is that knowledge is obtained by observing...
  14. T

    Will the Einstein Ring Change as the Mass Moves Towards the Observer?

    If I was looking at a self-luminous object, and all of a sudden a great pass appeared directly between me and the object, in the line of sight between me and it, I could potentially see an Einstein ring. Q: If that mass then started moving radially towards me (distance to self-luminous source...
  15. J

    I Bose Einstein Condensate For Oxygen 16 and Oxygen 18

    I am interested in whether or not Bose Einstein condensates have been realized for spin zero stable oxygen isotopes and if so, the maximum density achieved for these condensates. I understand that the quantum spins of oxygen 16 and oxygen 18 are both zero so such condensates would seem to be...
  16. Hiero

    B Einstein summation notation, ambiguity?

    If I see ##f(x_ie_i)## I assume it means ##f(\Sigma x_ie_i)## (summing in the domain of f) but what if I instead wanted to write ##\Sigma f(x_ie_i)## (summing in the range)? Is there a way to distinguish between these in Einstein’s summation notation?
  17. M

    I Connection between General Relativity & Chaos Theory?

    I am very new to such ideas but was wondering if there is any connection to what I am asking. Taking two events, let's say at opposite ends of the globe. Would even A, only have a potential on event B, if light could travel between these event in the given time frame of these event occurring...
  18. matternat968

    B Relative Nature of Speed: Einstein and Orbits

    At the risk of sounding stupid, this question has always perplexed me. Einstein theorized that mass can not travel faster than the speed of light. I don't really understand it, I assume it has something to do with mass just being energy. Anyway imagine two objects in orbit of something with...
  19. P

    A Einstein Tensor and Stress Energy Tensor of Scalar Field

    Hi All. Given that we may write And that the Stress-Energy Tensor of a Scalar Field may be written as; These two Equations seem to have a similar form. Is this what would be expected or is it just coincidence? Thanks in advance
  20. G

    I Light Speed Mirror Reflection: Can You See Yourself?

    If you’re traveling at the speed of light TOWARDS a mirror, will you be able to see yourself?
  21. J

    A Einstein and Spacetime: Debunking the Myth of Rejecting Curvature

    I have seen people using Einstein's comments on the geometrical description of spacetime to mean that he didn't believe in the curvature of spacetime. While I do not think this is true I cannot fully understand what his remarks mean.When reviewing a book on relativity by Emile Meyerson: La...
  22. T

    Brillouin's negentropy in an Einstein solid

    Hello! I would like to apply Brillouin's negentropy principle to an isolated Einstein solid, with a decreasing number of oscillators. We assume that the number of oscillators are initially N and the energy quanta (q the number) remain constant. Firstly, I would like to know if this principle is...
  23. Grimble

    Minkowski & Einstein: Hyperbolic Geometry Breakthrough?

    <Moderator’s note: forked from https://www.physicsforums.com/threads/proper-and-coordinate-times-re-the-twin-paradox.915212/page-13#post-6215675 > Thank you, that is very interesting and I can understand much of it. :smile: But can someone tell me if it was the application of hyperbolic...
  24. cordless03

    B Finding Flaws in General Relativity: A Question of Knowledge

    This thread is supposed to be about finding flaws in General Relativity, but the way these people talk they sound like they have no real knowledge of GR. I was just curious if any of you guys could explain further.
  25. Heikki Tuuri

    A Does anyone know asymmetric dynamic global solutions to Einstein eqs?

    https://link.springer.com/article/10.12942/lrr-2005-6 https://en.wikipedia.org/wiki/Exact_solutions_in_general_relativity http://www.numdam.org/article/SEDP_1989-1990____A15_0.pdf A moderator removed this off-topic discussion from another thread. Does anyone on the Physics Forums have...
  26. Quantum Alchemy

    B Questions about Einstein and the Block Universe

    I find this subject fascinating. Einstein said the distinctions between past, present and future is just a persistent illusion. I was watching a special with Brian Greene and other Physicist who think we do live in a Block Universe and they explained it very well. Here's my question. Say there...
  27. T

    I Can we consider this system as an Einstein model of a Solid?

    Hello Everyone! I am interested in examining the case of an isolated Einstein Solid (ES) with a decreasing number of oscillators. The total amount of energy of the ES is considered fixed. Whenever an oscillator abandons our model, it "leaves behind" the amount of energy it contained, so that the...
  28. SJay16

    Courses How difficult is an undergraduate course in GR?

    Just wondering if I'm going to be in over my head here, as I'm not sure what to expect. A notoriously "difficult" professor as my school is teaching a senior level undergraduate course "Introduction to General Relativity Physical consequences of Einstein's equations, including the principle of...
  29. Vividly

    I Einstein & Bohr Debate: Epistemological Paradox

    Im reading a book called “Quantum” the deabate between Einstien and Bohr. I’ve read reviews on it and this one particular review said the book doen’t delve into the “epistimological paradox” theat caused the two debaters to take their stand in their arguement. My question is, what was their...
  30. B

    I Problems with Einstein's 1920 "Relativity"

    Hi, I have been reading and watching a lot of physics lately but I have come across this problem. I have the basics of special relativity down, and it all seems clear to me. This is not in question to me. For example, I am reading a book on string theory by Brain Greene, and in it he covers...
  31. N

    What Book Did Albert Einstein Write About Education and the Mind?

    Hello, I am trying to find in which book Albert Einstein wrote something. I will appreciate any help. The adage i am trying to find is: Education is not the learning of things , but the education of the mind so that it can think. Thank.you
  32. N

    B Did Einstein Disagree With Black Holes?

    Not sure where best to post. Local paper has had a couple of articles about the black hole image over the past couple of days. They quote Walter Isaacson “Einstein did not believe, then or later, that these results actually corresponded to anything real,” . Is that true? I couldn't imagine...
  33. V

    Einstein Refrigeration: Constructing the System with Limited Knowledge

    My question is generated by a an unsuccessful attempt to construct the einstein system with limited knowledge. The first part the counter flow of different gasses (See attachment No1) The main part is the simplified Einstein is what prevents counter flow in this system. I think that perhaps...
  34. robphy

    March 14 coming (Einstein, Hawking, Pi-Day)

    At least three items around March 14: new documents from Einstein a coin commemorating Hawking Pi-Day https://todayinsci.com/3/3_14.htm Albert Einstein was born on March 14, 1879. Among various documents of Einstein (acquired by Hebrew University to update their collection of his documents...
  35. pixel

    I Bending of light - Newton vs. Einstein

    Using Newton's equation for gravity and assuming a corpuscular theory of light, one can calculate the angle that light would bend in a gravitational field. General relativity predicts a bend that is twice as large. In the Newtonian limit of GR (which includes weak gravity), does the GR...
  36. wrobel

    What Did Einstein Mean by z is keeping your mouth shut?

    by this quote "If A is a success in life, then A equals x plus y plus z. Work is x; y is play; and z is keeping your mouth shut." i wonder if "z" means "say nobody about your results until they are published" or "work and do not gab on empty"
  37. B

    Is having a genius IQ a prerequisite to be the next Einstein

    I graduated from high school last year, and I didn't have the class rank that I wanted (I was stupid number 2 in the class) after lots of hard work. It all turned out that my hard work was wasted to get some stupid title, but it got me thinking that I probably wasn't genius enough to be ranked...
  38. Zack K

    B How did Einstein come up with the thought of a space fabric?

    I've always wondered how we came to come up with such an idea. Was he one day sitting around and thinking, then made a random assumption and go "ah hah!". Or did his idea come up through his calculations on the nature of how gravity should cause interaction? Is their a literal fabric of space...
  39. Auto-Didact

    Is Genius an Accurate Portrayal of Einstein's Life and Relationships?

    I just finished watching this biographical drama on Einstein's life. I found it quite good. Has anyone else here seen it?
  40. jedishrfu

    B NOVA Show on Einstein and Quantum Entanglement

    NOVA presents a show on Einstein and Quantum Entanglement:
  41. phinds

    India scientists dismiss Einstein theories

    I am confident that there are scientific nut cases in every country (there certainly are in the US) but usually they are fringe people or just crackpots. It has long amazed me the extent to which seemingly responsible people in India subscribe to ridiculous theories. I've had a couple of direct...
  42. R

    Looking for Einstein quotes re: extent of his knowledge

    I've seen quotes by Einstein along the lines that he was well aware he didn't have all the answers, that his knowledge related to the workings of the universe was quite limited. Having trouble re-finding these quotes - looking to get pointed toward them. Thanks.
  43. K

    I Einstein & Relativity: Metric, Tensor Fields, Scalar Product

    I was reading a document from the time of Einstein where the metric is referred to as "the fundamental tensor". That made me wonder if it's possible to derive all concepts of tensor field, scalar product, connectivity etc. starting from the requirement that the metric is invariant under change...
  44. T

    I Confusion about Einstein notation

    In Einstein summation convention, the summation occurs for upper indices and its repeated but lower indices. However I have some confusion 1) $${\displaystyle v=v^{i}e_{i}={\begin{bmatrix}e_{1}&e_{2}&\cdots &e_{n}\end{bmatrix}}{\begin{bmatrix}v^{1}\\v^{2}\\\vdots \\v^{n}\end{bmatrix}},\ \qquad...
  45. D

    I Favorite Visualization of General Relativity?

    I am collecting ways to visualize the curvature of spacetime -- and movement of objects affected by gravity -- as per Einstein's GR. Alternatives to the bowling ball / trampoline image so often used in the popular press. Images that show the similarities / differences between Newton & Einstein...
  46. W

    I Is quantum mechanics formulated from 1st principles?

    I was surprised recently to learn that one of the reasons both Newton and Einstein were so revolutionary was that they performed a neat mathematical trick. For Newton, it was the mathematical derivation of Kepler's laws from Newton's laws of gravitation and motion. For Einstein, it was the...
  47. CDL

    Einstein Velocity Addition for a Moving Charge in a Wire

    Homework Statement I am reading through Griffiths' Electrodynamics, and I have come to the scenario in the Relativity chapter where in an inertial reference frame ##S##, we have a wire, with positive charges (linear density ##\lambda##) moving to the right at speed ##v##, and negative charges...
  48. J

    Should I use time dilation or length contraction?

    1. Homework Statement [/B] This is a problem that was in my Physics HW. Two powerless rockets are on a collision course. The rockets are moving with speeds of 0.800c and 0.600c and are initially ## 2.52 × 10^{12} ## m apart as measured by Liz, an Earth observer, as shown in Figure P1.59. Both...
  49. sush

    I Why E=mc^2 is different from E=1/2 mv^2?

    Why kinetic energy is ½ m v2? Why it is different from Einstein’s equation for Energy E= m c2?
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