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Topic: Einstein equation


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In the News (Wed 9 Dec 09)

  
  Edge: THAT FAMOUS EQUATION AND YOU by Brian Greene
Einstein's equation is constantly at work, providing an unseen hand that shapes the world into its familiar form.
The standard illustrations of Einstein's equation - bombs and power stations - have perpetuated a belief that E = mc² has a special association with nuclear reactions and is thus removed from ordinary activity.
Einstein believed that deep truths about the workings of the universe would always be "as simple as possible, but no simpler." And in his view, simplicity was epitomized by unifying concepts - like matter and energy - previously deemed separate.
www.edge.org /3rd_culture/greene05/greene05_index.html   (2350 words)

  
  Einstein's field equation - Wikipedia, the free encyclopedia
In physics, the Einstein field equation or Einstein equation is a differential equation in Einstein's theory of general relativity.
It is a dynamical equation which describes how matter and energy change the geometry of spacetime, this curved geometry being interpreted as the gravitational field of the matter source.
Einstein's equation reduces to Newton's law of gravity by using both the weak-field approximation and the slow-motion approximation.
en.wikipedia.org /wiki/Einstein's_field_equation   (1086 words)

  
 Albert Einstein - Wikipedia, the free encyclopedia
Einstein divorced Mileva on February 14, 1919, and married his cousin Elsa Löwenthal (born Einstein: Löwenthal was the surname of her first husband, Max) on June 2, 1919.
Einstein also assisted Erwin Schrödinger in the development of the quantum Boltzmann distribution, a mixed classical and quantum mechanical gas model although he realized that this was less significant than the Bose-Einstein model and declined to have his name included on the paper.
Einstein began to form a generalized theory of gravitation with the Universal Law of Gravitation and the electromagnetic force in his first attempt to demonstrate the unification and simplification of the fundamental forces.
en.wikipedia.org /wiki/Einstein   (5693 words)

  
 NOVA | Einstein's Big Idea | PBS
Einstein's big idea has been enormously influential, in ways that reach far beyond the purely scientific.
To rank with Newton or Einstein, you have to reinvent the way we see the world.
Follow the arc of Einstein's life from his birth in 1879 till his death in 1955.
www.pbs.org /wgbh/nova/einstein   (315 words)

  
 Encyclopedia: Einstein equation   (Site not responding. Last check: 2007-10-28)
In physics, the Einstein field equation or the Einstein equation is a tensor equation in the theory of gravitation.
As it is a tensor equation, the Einstein field equation is usually written out in terms of its components.
In the study of exact solutions of the field equations, it is sometimes convenient to decompose the Riemann tensor into it's trace and trace-free parts.
www.nationmaster.com /encyclopedia/Einstein-equation   (875 words)

  
 Math Forum - Ask Dr. Math   (Site not responding. Last check: 2007-10-28)
In the equation 2 E = mc E stands for energy and m is mass (in relativity theory, it's called the rest mass).
So Einstein found that his laws made the entirely unexpected prediction that the total energy of a system (for instance, a group of atoms) is conserved just like momentum.
Einstein's law explains that the mass has become energy - the kinetic energy (energy of movement) of the new particles speeding away from the explosion.
mathforum.org /library/drmath/view/52574.html   (737 words)

  
 Einstein's field equation -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-28)
It is a dynamical equation which describes how matter changes the geometry of (Click link for more info and facts about spacetime) spacetime, this curved geometry being interpreted as the gravitational field of the matter source.
These equations, together with the (Click link for more info and facts about geodesic equation) geodesic equation, form the core of the mathematical formulation of (A generalization of special relativity to include gravity (based on the principle of equivalence)) general relativity.
Einstein's equation reduces to (Click link for more info and facts about Newton's law of gravity) Newton's law of gravity by using both the (Click link for more info and facts about weak-field approximation) weak-field approximation and the slow-motion approximation.
www.absoluteastronomy.com /encyclopedia/e/ei/einsteins_field_equation.htm   (721 words)

  
 Einstein's Equation At 100   (Site not responding. Last check: 2007-10-28)
The standard illustrations of Einstein's equation - bombs and power stations - have perpetuated a belief that E =3D mc=B2 has a special association with nuclear reactions and is thus removed from ordinary activity.
A little known fact about Einstein's September 1905 paper is that he didn't actually write E =3D mc=B2; he wrote the mathematically equivalent (though less euphonious) m =3D E/c=B2, placing greater emphasis on creating mass from energy (as in the joust) than on creating energy from mass (as in nuclear weapons and power stations).
Einstein believed that deep truths about the workings of the universe would always be "as simple as possible, but no simpler." And in his view, simplicity was epitomized by unifying concepts - like matter and energy - previously deemed separate.
www.virtuallystrange.net /ufo/updates/2005/oct/m01-001.shtml   (2213 words)

  
 The Equivalence of Mass and Energy
Einstein correctly described the equivalence of mass and energy as "the most important upshot of the special theory of relativity" (Einstein, 1919), for this result lies at the core of modern physics.
Einstein then analyzes this "act of emission" from another inertial frame, which is in a state of uniform motion relative to the first.
Einstein (1905b) had conjectured that the equivalence of mass and energy could be tested by "weighing" an atom before and after it undergoes radioactive decay.
plato.stanford.edu /entries/equivME   (5138 words)

  
 THE EINSTEIN EQUATIONS
For a mathematician, the difficulties lie in the fact that the equations are nonlinear and coupled also and in their sheer number of terms.
After he published his famous paper in 1916, Einstein later conceded that the mathematical difficulties of his General Theory of Relativity were a "very serious" impediment to its further development.
Physicists are motivated to grapple with the complexity of Einstein's field equations because they can be used, theoretically at least, to describe all possible spacetime scenarios, from the collisions of fl holes to the gravit ational interactions of irregular chunks of matter.
archive.ncsa.uiuc.edu /Cyberia/NumRel/EinsteinEquations.html   (1024 words)

  
 NOVA | Einstein's Big Idea | The Legacy of E = mc2 | PBS
After all, the equation grew directly out of Einstein's work on special relativity, which is a subset of what most consider his greatest achievement, the theory of general relativity.
Perhaps the equation's most far-reaching legacy is that it provides the key to understanding the most basic natural processes of the universe, from microscopic radioactivity to the big bang itself.
Einstein believed that radium was constantly converting part of its mass to energy exactly as his equation specified.
www.pbs.org /wgbh/nova/einstein/legacy.html   (2202 words)

  
 ipedia.com: Einstein's field equation Article   (Site not responding. Last check: 2007-10-28)
In physics, the Einstein field equation or the '\ Einstein equation ' is an equation in the theory of gravitation, called general relativity, that describes how matter creates gravity and, conversely,...
where is the Einstein curvature tensor, a second order differential equation in terms of the metric tensor, and is the stress-energy tensor.
The coupling constant is given in terms of is pi, is the speed of light and is the gravitational constant.
www.ipedia.com /einstein_s_field_equation.html   (657 words)

  
 The Einstein Thoreau Nature Balance Power Support Relationships Equation: for hope global spirit disorders earth peace ...
The deteriorating state of the world being what it is, the Balance of Life Equation is as important and revolutionary as Einstein's e=mc2 or the discovery by Copernicus that Earth and we are neither the center nor most important thing in the Solar System.
Perhaps the Equation's greatest attribute is that it is self-rewarding so that it continues to motivate and encourage its own use.
To stop this insanity the Einstein-Thoreau Equation makes readily available the means to genuinely connect our thinking and feeling to Mother Nature's recuperative powers, perfection and love of us as her children.
www.ecopsych.com /equationeinstein.html   (2895 words)

  
 How To Test Your Physics Teacher?
Einstein's time dilation equation is exclusively written for uniform motion expressed in the form T/To = f(v).
The simplest and easiest interpretation is, and this is what any kid can say, Einstein means the length of the spaceship would be measured as shortened by the Earth's observer, though it's always the same according to the astronaut (as his ruler in the spaceship is also shortened).
Einstein says the speed of light in vacuum is always constant and absolute regardless of the source and the observer's movement.
www.geocities.com /RainForest/6039/jd7.html   (1849 words)

  
 Einstein’s Light Energy-Mass equation (L = c2m) contradicts the law of conservation of matter and energy, and ...
Einstein derived (in Sep 1905 paper), an equation between light energy (L) emitted and decrease in mass (m) of a body i.e.
This equation is applicable when velocity v is uniform, if the velocity is non-uniform in the interval, it application requires estimations of sub-intervals when velocity is uniform for its applicability.
Thus the same equation (in solved and unsolved forms) under similar conditions gives different results thus are contradictory to basic law of algebra; and in addition the result is not consistent with dimensional homogeneity.
www.wbabin.net /ajay/sharma1.htm   (5633 words)

  
 Einstein equation   (Site not responding. Last check: 2007-10-28)
Einstein was the first to point out that a consequence of the strong equivalence principle, which states that the results of local experiments in a frame of free fall are independent on the motion, and that the results of all such experiments should be the same, is that gravitational fields should affect radiation.
This equation summarizes the conservation laws of energy and momentum in special relativity.
Einstein identified the stress-energy tensor as the source of spacetime curvature and suggested the simplest possible relationship between it and the curvature, namely
www.nikhef.nl /~henkjan/astro/node15.html   (1030 words)

  
 Laureates of Tomorrow Nobel Essay Contest
Albert Einstein, possibly the most famous Nobel Prize winner in history, was recognized in 1921 for demystifying the photoelectric effect using Planck’s theory of energy quanta.
The equation Einstein derived for this relationship is E = hf, where E is the energy of the electrons released, h is Planck’s constant, and f is the frequency of the light wave.
Lenard and Einstein together proved the duality of electrons, however, Lenard’s proof that electrons were waves was countered not only by Einstein, (who personally refused to adopt duality as a valid theory) but also by Niels Bohr.
www.nyas.org /programs/nobel/essay8.html   (2467 words)

  
 General relativity:Einstein's equation - Wikibooks
The Einstein field equation or Einstein equation is a dynamical equation which describes how matter and energy change the geometry of spacetime, this curved geometry being interpreted as the gravitational field of the matter source.
Another example is Schrodinger's equation of quantum mechanics where the equation is linear in the wavefunction.
Despite Einstein's misguided motivation for introducting the cosmological constant term, there is nothing wrong (i.e.
en.wikibooks.org /wiki/General_relativity:Einstein's_equation   (980 words)

  
 Einstein's Equation | Atomic Physics | Science | atomicarchive.com
This equation states, a mass (m) can be converted into an amount of energy (E), where c is the speed of light.
Because the speed of light is a large number and thus c squared is huge, a small amount of matter can be converted into a tremendous amount of energy.
This equation is the key to the power of nuclear weapons and nuclear reactors.
www.atomicarchive.com /Physics/Physics4.shtml   (379 words)

  
 Einstein's famous equation
This is what Einstein was taught in the 1890's: that energy and mass were different topics; that they had nothing to do with each other.
Einstein did find that there is a link between the two domains, but he didn't do it by looking at experiments with weighing mass and seeing if somehow a little bit was not accounted for, and might have slipped over to become energy.
he reasoning Einstein followed to come up with his extraordinary observation - that mass and energy are one - had begun with the seemingly irrelevant observation that no one could ever catch up with light.
www.fortunecity.com /roswell/callanish/39/einst2.htm   (2050 words)

  
 Viktor's Home Page: E = mc² is not Einstein's Equation
What this equation basically tells you is that the presence of matter and energy (the right side of the equation) determine the curvature of spacetime (the left side).
became "Einstein's equation" is because it's easy to remember, and even a mediocre high school education is enough to make one understand what it means.
Nothing wrong with that, just make sure you also know that this is not a fundamental equation, this is not why physicists revere Einstein and his work, this is not what makes the theory of relativity perhaps the most powerful physical theory known to man. It is just a simple result of a simple calculation.
www.vttoth.com /emc2.htm   (883 words)

  
 Amazon.com: God's Equation: Einstein, Relativity, and the Expanding Universe: Books: Amir D. Aczel   (Site not responding. Last check: 2007-10-28)
Apparently Einstein was not convinced of the accuracy of this equation, for he abandoned it, only to rederive it 3 years later with apparently no recollection that he'd been there before.
Einstein theory describes the universe as infinite in span, homogenous, and isotropic; any point in space can be a center of mass; closer universes recede slower and the further universes recede faster; and space is teeming with energy.
The reader is exposed to the history of the experiments to prove Einstein's theory along with a large amount of anecdotal and biographical material of the main characters involved.
www.amazon.com /exec/obidos/tg/detail/-/1568581394?v=glance   (2980 words)

  
 BBC NEWS | Science/Nature | Einstein equation marks 100 years
Einstein showed in a handful of lines that as you accelerate an object, it not only gets faster, it also gets heavier.
The equation rounded out the theory of relativity he had started earlier in the year.
Einstein soon recognised through the equation that the energy released in radioactivity - a phenomenon hardly understood at the time - might lead to measurable changes in mass.
news.bbc.co.uk /2/hi/science/nature/4457020.stm   (244 words)

  
 Young physicists featured in NOVA documentary on Einstein's famous equation
The filmmakers asked young physicists to show how Einstein's most famous equation, E = mc2, is still relevant to their work.
The filmmakers hope to bring the equation and its history into the modern context by demonstrating its continued importance in research today.
Einstein's equation, which describes the properties of light and matter and the conversion between the two, is foundational for this work.
news-service.stanford.edu /news/2005/may25/emcpr-052505.html   (928 words)

  
 Einstein's Equation
To state Einstein's equation in simple English, we need to consider a round ball of test particles that are all initially at rest relative to each other.
After all, Einstein's equation in its usual tensorial form is really a bunch of equations: the left and right sides of equation (1) are
Given a small ball of freely falling test particles initially at rest with respect to each other, the rate at which it begins to shrink is proportional to its volume times: the energy density at the center of the ball plus three times the pressure at that point.
math.ucr.edu /home/baez/einstein/node3.html   (630 words)

  
 CNN.com - Books - Review: History of famous Einstein equation an energetic read - November 14, 2000
It's also widely believed that the theory is embodied in the equation E = mc2 (the "2" is actually a superscript, and the equation should be read "E equals m c squared).
His equation was like a telescope to lead there, but the hiding place wasn't far away in outer space.
The terms of the equation are fairly straightforward and its math is at the level of junior high algebra.
archives.cnn.com /2000/books/reviews/11/14/review.emc2   (858 words)

  
 COMMENTARY REGARDING EINSTEIN'S EQUATION
With respect to the importance and implication of that ORIGINAL description of Einstein's famous equation, I am suggesting that the use of such nomenclature demonstrated Einstein intellectual linkage to the work of James Clerk Maxwell and Michael Faraday --- both of whom preceded Einstein and for whom Einstein had great respect.
In addition to offering a detailed review of Einstein's ground-breaking thesis on the relationship between mass and energy, E (equals) mc (squared), the document is also thought to be one of the few remaining Einstein rough drafts, rich with extensive revisions in the scientist's graceful handwriting.
She informed me that the manuscript by Albert Einstein from 1912 was put up for auction at Sotheby's on March 16, 1996 and was designated LOT 1.
www.josephnewman.com /Einsteins_Equation.html   (745 words)

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