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Electrons are so small that they are almost negligible. Masses pull on each other, and a very large mass such as that of the Earth pulls very hard on things nearby.

You would weigh much more on Jupiter than on Earth because Jupiter is so huge. You would weigh much less on the Moon because it is only about one-sixth the mass of Earth.

Weight is related to the mass of the brick or the person and the mass of whatever is pulling it down on a spring scale — which may be smaller than the smallest moon in the solar system or larger than the Sun.

Mass, not weight, can be transformed into energy. Another way of expressing this idea is to say that matter can be transformed into energy.

Units of mass are used to measure the amount of matter in something. The mass or the amount of matter in something determines how much energy that thing could be changed into.

Energy can also be transformed into mass. If you were pushing a baby buggy at a slow walk and found it easy to push, but pushed it at a fast walk and found it harder to move, then you would wonder what was wrong with the baby buggy.

Then if you tried to run and found that moving the buggy at any faster speed was like pushing against a brick wall, you would be very surprised.

The truth is that when something is moved then its mass is increased. Human beings ordinarily do not notice this increase in mass because at the speed humans ordinarily move the increase in mass in almost nothing.

As speeds get closer to the speed of light, then the changes in mass become impossible not to notice. The basic experience we all share in daily life is that the harder we push something like a car the faster we can get it going.

But when something we are pushing is already going at some large part of the speed of light we find that it keeps gaining mass, so it gets harder and harder to get it going faster.

It is impossible to make any mass go at the speed of light because to do so would take infinite energy. Sometimes a mass will change to energy.

Common examples of elements that make these changes we call radioactivity are radium and uranium.

An atom of uranium can lose an alpha particle the atomic nucleus of helium and become a new element with a lighter nucleus. Then that atom will emit two electrons, but it will not be stable yet.

It will emit a series of alpha particles and electrons until it finally becomes the element Pb or what we call lead.

By throwing out all these particles that have mass it has made its own mass smaller. It has also produced energy. In most radioactivity, the entire mass of something does not get changed to energy.

In an atomic bomb, uranium is transformed into krypton and barium. There is a slight difference in the mass of the resulting krypton and barium, and the mass of the original uranium, but the energy that is released by the change is huge.

One way to express this idea is to write Einstein's equation as:. The c 2 in the equation stands for the speed of light squared.

About 60 terajoules were released by the atomic bomb that exploded over Hiroshima. The idea of a Bose-Einstein condensate came out of a collaboration between S.

Einstein himself did not invent it but, instead, refined the idea and helped it become popular. In classical physics, momentum is explained by the equation:.

When Einstein generalized classical physics to include the increase of mass due to the velocity of the moving matter, he arrived at an equation that predicted energy to be made of two components.

One component involves "rest mass" and the other component involves momentum, but momentum is not defined in the classical way. The equation typically has values greater than zero for both components:.

A photon has no rest mass, but it has momentum. Light reflecting from a mirror pushes the mirror with a force that can be measured. Knowing either frequency or wavelength, you can compute the photon's momentum.

Therefore, the quantity "m 0 " used in Einstein's equation is sometimes called the "rest mass. This famous "mass-energy relation" formula usually written without the "0"s suggests that mass has a large amount of energy, so maybe we could convert some mass to a more useful form of energy.

The nuclear power industry is based on that idea. The General Theory of Relativity was published in , ten years after the special theory of relativity was created.

Einstein's general theory of relativity uses the idea of spacetime. Spacetime is the fact that we have a four-dimensional universe, having three spatial space dimensions and one temporal time dimension.

Any physical event happens at some place inside these three space dimensions, and at some moment in time.

According to the general theory of relativity, any mass causes spacetime to curve, and any other mass follows these curves. Bigger mass causes more curving.

This was a new way to explain gravitation gravity. General relativity explains gravitational lensing, which is light bending when it comes near a massive object.

This explanation was proven correct during a solar eclipse , when the sun's bending of starlight from distant stars could be measured because of the darkness of the eclipse.

General relativity also set the stage for cosmology theories of the structure of our universe at large distances and over long times. Einstein thought that the universe may curve a little bit in both space and time, so that the universe always had existed and always will exist, and so that if an object moved through the universe without bumping into anything, it would return to its starting place, from the other direction, after a very long time.

He even changed his equations to include a "cosmological constant," in order to allow a mathematical model of an unchanging universe.

The general theory of relativity also allows the universe to spread out grow larger and less dense forever, and most scientists think that astronomy has proved that this is what happens.

When Einstein realized that good models of the universe were possible even without the cosmological constant, he called his use of the cosmological constant his "biggest blunder," and that constant is often left out of the theory.

However, many scientists now believe that the cosmological constant is needed to fit in all that we now know about the universe.

A popular theory of cosmology is called the Big Bang. According to the Big Bang theory, the universe was formed 15 billion years ago, in what is called a " gravitational singularity ".

This singularity was small, dense, and very hot. According to this theory, all of the matter that we know today came out of this point. Einstein himself did not have the idea of a " black hole ", but later scientists used this name for an object in the universe that bends spacetime so much that not even light can escape it.

They think that these ultra-dense objects are formed when giant stars, at least three times the size of our sun, die. This event can follow what is called a supernova.

The formation of black holes may be a major source of gravitational waves, so the search for proof of gravitational waves has become an important scientific pursuit.

Many scientists only care about their work, but Einstein also spoke and wrote often about politics and world peace.

He liked the ideas of socialism and of having only one government for the whole world. He also worked for Zionism , the effort to try to create the new country of Israel.

Einstein's family was Jewish, but Einstein never practiced this religion seriously. He liked the ideas of the Jewish philosopher Baruch Spinoza and also thought that Buddhism was a good religion.

Even though Einstein thought of many ideas that helped scientists understand the world much better, he disagreed with some scientific theories that other scientists liked.

The theory of quantum mechanics discusses things that can happen only with certain probabilities , which cannot be predicted with better precision no matter how much information we might have.

This theoretical pursuit is different from statistical mechanics , in which Einstein did important work. Einstein did not like the part of quantum theory that denied anything more than the probability that something would be found to be true of something when it was actually measured; he thought that it should be possible to predict anything, if we had the correct theory and enough information.

He once said, "I do not believe that God plays dice with the Universe. Because Einstein helped science so much, his name is now used for several different things.

A unit used in photochemistry was named for him. It is equal to Avogadro's number multiplied by the energy of one photon of light. The chemical element Einsteinium is named after the scientist as well.

Most scientists think that Einstein's theories of special and general relativity work very well, and they use those ideas and formulas in their own work.

Einstein could not agree that phenomena in quantum mechanics can happen out of pure chance. He believed that all natural phenomena have explanations that do not include pure chance.

He gave up looking for fully generally covariant tensor equations, and searched for equations that would be invariant under general linear transformations only.

In June , the Entwurf "draft" theory was the result of these investigations. As its name suggests, it was a sketch of a theory, less elegant and more difficult than general relativity, with the equations of motion supplemented by additional gauge fixing conditions.

After more than two years of intensive work, Einstein realized that the hole argument was mistaken [] and abandoned the theory in November In , Einstein applied the general theory of relativity to the structure of the universe as a whole.

As observational evidence for a dynamic universe was not known at the time, Einstein introduced a new term, the cosmological constant , to the field equations, in order to allow the theory to predict a static universe.

The modified field equations predicted a static universe of closed curvature, in accordance with Einstein's understanding of Mach's principle in these years.

This model became known as the Einstein World or Einstein's static universe. Following the discovery of the recession of the nebulae by Edwin Hubble in , Einstein abandoned his static model of the universe, and proposed two dynamic models of the cosmos, The Friedmann-Einstein universe of [] [] and the Einstein—de Sitter universe of In many Einstein biographies, it is claimed that Einstein referred to the cosmological constant in later years as his "biggest blunder".

The astrophysicist Mario Livio has recently cast doubt on this claim, suggesting that it may be exaggerated. In late , a team led by the Irish physicist Cormac O'Raifeartaigh discovered evidence that, shortly after learning of Hubble's observations of the recession of the nebulae, Einstein considered a steady-state model of the universe.

For the density to remain constant, new particles of matter must be continually formed in the volume from space.

It thus appears that Einstein considered a steady-state model of the expanding universe many years before Hoyle, Bondi and Gold.

General relativity includes a dynamical spacetime, so it is difficult to see how to identify the conserved energy and momentum.

Noether's theorem allows these quantities to be determined from a Lagrangian with translation invariance , but general covariance makes translation invariance into something of a gauge symmetry.

The energy and momentum derived within general relativity by Noether's prescriptions do not make a real tensor for this reason.

Einstein argued that this is true for fundamental reasons, because the gravitational field could be made to vanish by a choice of coordinates.

He maintained that the non-covariant energy momentum pseudotensor was in fact the best description of the energy momentum distribution in a gravitational field.

This approach has been echoed by Lev Landau and Evgeny Lifshitz , and others, and has become standard. The use of non-covariant objects like pseudotensors was heavily criticized in by Erwin Schrödinger and others.

In , Einstein collaborated with Nathan Rosen to produce a model of a wormhole , often called Einstein—Rosen bridges. These solutions cut and pasted Schwarzschild black holes to make a bridge between two patches.

If one end of a wormhole was positively charged, the other end would be negatively charged. These properties led Einstein to believe that pairs of particles and antiparticles could be described in this way.

In order to incorporate spinning point particles into general relativity, the affine connection needed to be generalized to include an antisymmetric part, called the torsion.

This modification was made by Einstein and Cartan in the s. The theory of general relativity has a fundamental law—the Einstein equations which describe how space curves, the geodesic equation which describes how particles move may be derived from the Einstein equations.

Since the equations of general relativity are non-linear, a lump of energy made out of pure gravitational fields, like a black hole, would move on a trajectory which is determined by the Einstein equations themselves, not by a new law.

So Einstein proposed that the path of a singular solution, like a black hole, would be determined to be a geodesic from general relativity itself.

This was established by Einstein, Infeld, and Hoffmann for pointlike objects without angular momentum, and by Roy Kerr for spinning objects. In a paper, [] Einstein postulated that light itself consists of localized particles quanta.

Einstein's light quanta were nearly universally rejected by all physicists, including Max Planck and Niels Bohr. This idea only became universally accepted in , with Robert Millikan 's detailed experiments on the photoelectric effect, and with the measurement of Compton scattering.

Einstein concluded that each wave of frequency f is associated with a collection of photons with energy hf each, where h is Planck's constant.

He does not say much more, because he is not sure how the particles are related to the wave. But he does suggest that this idea would explain certain experimental results, notably the photoelectric effect.

In , Einstein proposed a model of matter where each atom in a lattice structure is an independent harmonic oscillator. In the Einstein model, each atom oscillates independently—a series of equally spaced quantized states for each oscillator.

Einstein was aware that getting the frequency of the actual oscillations would be difficult, but he nevertheless proposed this theory because it was a particularly clear demonstration that quantum mechanics could solve the specific heat problem in classical mechanics.

Peter Debye refined this model. Throughout the s, quantum mechanics expanded in scope to cover many different systems. After Ernest Rutherford discovered the nucleus and proposed that electrons orbit like planets, Niels Bohr was able to show that the same quantum mechanical postulates introduced by Planck and developed by Einstein would explain the discrete motion of electrons in atoms, and the periodic table of the elements.

Einstein contributed to these developments by linking them with the arguments Wilhelm Wien had made. Wien had shown that the hypothesis of adiabatic invariance of a thermal equilibrium state allows all the blackbody curves at different temperature to be derived from one another by a simple shifting process.

Einstein noted in that the same adiabatic principle shows that the quantity which is quantized in any mechanical motion must be an adiabatic invariant.

Arnold Sommerfeld identified this adiabatic invariant as the action variable of classical mechanics. In , Einstein received a description of a statistical model from Indian physicist Satyendra Nath Bose , based on a counting method that assumed that light could be understood as a gas of indistinguishable particles.

Einstein noted that Bose's statistics applied to some atoms as well as to the proposed light particles, and submitted his translation of Bose's paper to the Zeitschrift für Physik.

Einstein also published his own articles describing the model and its implications, among them the Bose—Einstein condensate phenomenon that some particulates should appear at very low temperatures.

Einstein's sketches for this project may be seen in the Einstein Archive in the library of the Leiden University. Although the patent office promoted Einstein to Technical Examiner Second Class in , he had not given up on academia.

In , he became a Privatdozent at the University of Bern. This paper introduced the photon concept although the name photon was introduced later by Gilbert N.

Lewis in and inspired the notion of wave—particle duality in quantum mechanics. Einstein saw this wave—particle duality in radiation as concrete evidence for his conviction that physics needed a new, unified foundation.

In a series of works completed from to , Planck reformulated his quantum theory and introduced the idea of zero-point energy in his "second quantum theory".

Soon, this idea attracted the attention of Einstein and his assistant Otto Stern. Assuming the energy of rotating diatomic molecules contains zero-point energy, they then compared the theoretical specific heat of hydrogen gas with the experimental data.

The numbers matched nicely. However, after publishing the findings, they promptly withdrew their support, because they no longer had confidence in the correctness of the idea of zero-point energy.

In , at the height of his work on relativity, Einstein published an article in Physikalische Zeitschrift that proposed the possibility of stimulated emission , the physical process that makes possible the maser and the laser.

This paper was enormously influential in the later development of quantum mechanics, because it was the first paper to show that the statistics of atomic transitions had simple laws.

Einstein discovered Louis de Broglie 's work and supported his ideas, which were received skeptically at first. In another major paper from this era, Einstein gave a wave equation for de Broglie waves , which Einstein suggested was the Hamilton—Jacobi equation of mechanics.

This paper would inspire Schrödinger's work of Einstein was displeased with modern quantum mechanics as it had evolved after Contrary to popular belief, his doubts were not due to a conviction that God "is not playing at dice.

Einstein believed that a physical reality exists independent of our ability to observe it. In contrast, Bohr and his followers maintained that all we can know are the results of measurements and observations, and that it makes no sense to speculate about an ultimate reality that exists beyond our perceptions.

The Bohr—Einstein debates were a series of public disputes about quantum mechanics between Einstein and Niels Bohr , who were two of its founders.

Their debates are remembered because of their importance to the philosophy of science. In , Einstein returned to the question of quantum mechanics in the "EPR paper".

No matter how far the two particles were separated, a precise position measurement on one particle would result in equally precise knowledge of the position of the other particle; likewise a precise momentum measurement of one particle would result in equally precise knowledge of the momentum of the other particle, without needing to disturb the other particle in any way.

Given Einstein's concept of local realism , there were two possibilities: Einstein rejected this second possibility popularly called "spooky action at a distance".

This principle distilled the essence of Einstein's objection to quantum mechanics. As a physical principle, it was shown to be incorrect when the Aspect experiment of confirmed Bell's theorem , which J.

Bell had delineated in The results of these and subsequent experiments demonstrate that quantum physics cannot be represented by any version of the classical picture of physics.

Although Einstein was wrong, his clear prediction of the unusual properties of entangled quantum states has resulted in the EPR paper becoming among the top ten papers published in Physical Review.

It is considered a centerpiece of the development of quantum information theory. Following his research on general relativity, Einstein entered into a series of attempts to generalize his geometric theory of gravitation to include electromagnetism as another aspect of a single entity.

In , he described his " unified field theory " in a Scientific American article titled "On the Generalized Theory of Gravitation".

In his pursuit of a unification of the fundamental forces, Einstein ignored some mainstream developments in physics, most notably the strong and weak nuclear forces , which were not well understood until many years after his death.

Mainstream physics, in turn, largely ignored Einstein's approaches to unification. Einstein's dream of unifying other laws of physics with gravity motivates modern quests for a theory of everything and in particular string theory , where geometrical fields emerge in a unified quantum-mechanical setting.

Einstein conducted other investigations that were unsuccessful and abandoned. These pertain to force , superconductivity , and other research.

In addition to longtime collaborators Leopold Infeld , Nathan Rosen , Peter Bergmann and others, Einstein also had some one-shot collaborations with various scientists.

Einstein and De Haas demonstrated that magnetization is due to the motion of electrons, nowadays known to be the spin. In order to show this, they reversed the magnetization in an iron bar suspended on a torsion pendulum.

They confirmed that this leads the bar to rotate, because the electron's angular momentum changes as the magnetization changes.

This experiment needed to be sensitive, because the angular momentum associated with electrons is small, but it definitively established that electron motion of some kind is responsible for magnetization.

Einstein suggested to Erwin Schrödinger that he might be able to reproduce the statistics of a Bose—Einstein gas by considering a box. Then to each possible quantum motion of a particle in a box associate an independent harmonic oscillator.

Quantizing these oscillators, each level will have an integer occupation number, which will be the number of particles in it. This formulation is a form of second quantization , but it predates modern quantum mechanics.

Erwin Schrödinger applied this to derive the thermodynamic properties of a semiclassical ideal gas. Schrödinger urged Einstein to add his name as co-author, although Einstein declined the invitation.

This absorption refrigerator was then revolutionary for having no moving parts and using only heat as an input. Their invention was not immediately put into commercial production, and the most promising of their patents were acquired by the Swedish company Electrolux.

While traveling, Einstein wrote daily to his wife Elsa and adopted stepdaughters Margot and Ilse. The letters were included in the papers bequeathed to The Hebrew University.

Margot Einstein permitted the personal letters to be made available to the public, but requested that it not be done until twenty years after her death she died in [].

Einstein had expressed his interest in the plumbing profession and was made an honorary member of the Plumbers and Steamfitters Union.

Corbis , successor to The Roger Richman Agency, licenses the use of his name and associated imagery, as agent for the university.

In the period before World War II, The New Yorker published a vignette in their "The Talk of the Town" feature saying that Einstein was so well known in America that he would be stopped on the street by people wanting him to explain "that theory".

He finally figured out a way to handle the incessant inquiries. He told his inquirers "Pardon me, sorry!

Always I am mistaken for Professor Einstein. Einstein has been the subject of or inspiration for many novels, films, plays, and works of music.

Time magazine's Frederic Golden wrote that Einstein was "a cartoonist's dream come true". Many popular quotations are often misattributed to him.

Einstein received numerous awards and honors and in he was awarded the Nobel Prize in Physics "for his services to Theoretical Physics, and especially for his discovery of the law of the photoelectric effect".

None of the nominations in met the criteria set by Alfred Nobel , so the prize was carried forward and awarded to Einstein in From Wikipedia, the free encyclopedia.

For the musicologist, see Alfred Einstein. For other people, see Einstein surname. For other uses, see Albert Einstein disambiguation and Einstein disambiguation.

German-born physicist and developer of the theory of relativity. Swiss Federal Polytechnic —; B. Albert Einstein's political views and Albert Einstein's religious views.

Annus Mirabilis papers , Photoelectric effect , Special theory of relativity , Mass—energy equivalence , and Brownian motion.

Statistical mechanics , thermal fluctuations , and statistical physics. History of special relativity. History of general relativity.

Equivalence principle , Theory of relativity , and Einstein field equations. Discovery of cosmic microwave background radiation.

Religious interpretations of the Big Bang theory. Classical unified field theories. Albert Einstein in popular culture. Einstein's awards and honors.

Einstein, Albert [Manuscript received: Written at Zurich, Switzerland. Annalen der Physik Berlin in German. Hoboken, NJ published 14 March Einstein, Albert a [Manuscript received: Written at Berne, Switzerland.

Hoboken, NJ published 10 March Einstein, Albert b [Completed 30 April and submitted 20 July ]. Written at Berne, Switzerland, published by Wyss Buchdruckerei.

ETH Zürich published Einstein, Albert c [Manuscript received: Einstein, Albert d [Manuscript received: Annalen der Physik Berlin Submitted manuscript in German.

Einstein, Albert e [Manuscript received: Einstein, Albert [Published 25 November ]. Königlich Preussische Akademie der Wissenschaften: Königlich Preussische Akademie der Wissenschaften , Berlin.

Physikalische Zeitschrift in German. Einstein, Albert [First published , in English ]. Nobel Lectures, Physics — in German and English Unrecognized language link Einstein, Albert [Published 10 July ].

First of a series of papers on this topic. Die Naturwissenschaften in German. Dover Publications published Physical Review Submitted manuscript.

Einstein, Albert 9 November On Science and Religion. Einstein, Albert; et al. The New York Times.

Einstein, Albert May Monthly Review Foundation published May Archived from the original on 11 January Retrieved 16 January — via MonthlyReview.

Albert Einstein, Hedwig und Max Born: Briefwechsel — in German. Paul Arthur Schilpp Centennial ed. The chasing a light beam thought experiment is described on pages 48— Stachel, John ; Martin J.

Kox; Michel Janssen; R. Schulmann; Diana Komos Buchwald; et al. The Collected Papers of Albert Einstein. Further information about the volumes published so far can be found on the webpages of the Einstein Papers Project and on the Princeton University Press Einstein Page.

She has chosen the cream of her culture and has suppressed it. She has even turned upon her most glorious citizen, Albert Einstein, who is the supreme example of the selfless intellectual The man, who, beyond all others, approximates a citizen of the world, is without a home.

How proud we must be to offer him temporary shelter. Biographical Memoirs of Fellows of the Royal Society.

Longman Pronunciation Dictionary 3rd ed. Archived from the original on 6 March Retrieved 7 March In conclusion, the earliest evidence of the saying was from the pen of Ted Thackrey, Jr.

QI suspects that the roulette anecdote and quotation are part of a tall tale to go along with a larger-than-life gambler.

QI does not know if the tale was created by Dandolos or Thackrey. Yet, the reader is free to come to another conclusion. Peach, Page 1, Toledo, Ohio.

Google Books full view link. According to a legend in the gambling world Albert Einstein once visited a Las Vegas casino and after observing the action around the roulette wheel he said: You cannot beat a roulette table unless you steal money from it.

Any truth to this story? Then he cashed in, pocketed his winning and grinned at the scientist.

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