Relativity Made Real

How Albert Einstein's theory of general relativity changed the world

The level of precision required for satellites is down to this atom clock, whose ticks must be known to an accuracy of 20 to 30 nanoseconds. Because the satellites are constantly moving relative to the Earth, effects predicted by Einstein's theory must be taken into account. In particular, the pull of gravity is stronger on Earth than in the satellite's orbit, meaning time is passing marginally faster in the latter than it is in the former. The birth of the known universe has been a problem that has stumped scientists for centuries.

Scientists realised that if you went back far enough in time, the universe would get increasingly smaller, or shrink, until the moment when it appeared. This became known as the Big Bang and suggests that since that moment, the universe has expanded. Einstein's theory similar suggests that the universe, or the so-called space-time metric, is expanding.

And measurements using telescopes have subsequently shown that the universe does indeed appear to be expanding in this way, as distant galaxies are moving away from us. Without Einstein, this fundamental piece of physics that underpins much of how we understand our universe today would have been far harder to unravel.

The tug of gravity

Julian—Gregorian uncertainty CS1 maint: Einstein developed general relativity between and , with contributions by many others after They represented, in his opinion, a clear refutation of the relativity principle and the Lorentz-Einstein-Theory, and a confirmation of Abraham's theory. These two theories can be thought of collectively as the Theory of Relativity. But it does, and a current still flows. Some criticized Special Relativity for various reasons, such as lack of empirical evidence, internal inconsistencies, rejection of mathematical physics per se , or philosophical reasons. The Theory of relativity doesn't just affect gold's enticing color.

The existence of black holes artists impression illustrated was first proposed using Einstein's theory of general relativity shortly after he published his equations in Although Einstein himself was sceptical about the existence of black holes, astronomers can see their effects on the universe around us. They are among the most mysterious objects in our universe - concentrated wells of gravity from which nothing, not even light can escape. But without Einstein's general relativity equations, we could still be ignorant of the existence of black holes, as it was instrumental in their discovery.

Without this we would have never benefited from the wild imaginations of science fiction writers as they speculated what lies beyond a black hole. Sir Isaac Newton is credited for discovering gravity in his three laws of motion. The laws assume that the force between two objects depends on the mass and distance of each and, using these concepts, it is possible to calculate the orbits of planets precisely. However, Mercury's orbit was found to be an exception to this rule. It was able to reproduce Newton's notions of gravity and all its predictions of motion, but also fixed many of the discrepancies, including Mercury's orbit.

The orbit is not quite circular which means that there is a point at which it is closest to the sun. Newton's theory predicts that this point is fixed, but observation shows it slowly rotates around the sun - and Einstein found that general relativity correctly described this rotation.

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Einstein proposed that gravity is caused by matter bending space and time, and that the two are intrinsically linked as 'spacetime'. Newton's laws of motion assume the force between two objects depends on the mass and distance of each and, using this, it is possible to calculate the orbits of planets precisely stock image. However, Mercury's orbit was found to be an exception to this rule, which Einstein's General Relativity theory accounted for.

According to Newton, the sun affects the orbit of Earth because of its larger mass, suggesting the Earth is not moving freely. Einstein instead proposed Earth is moving freely, along the analogue of a straight line, but through a curved spacetime that has been distorted by the mass of sun. Einstein had previously shown that the speed of light is always the same for everyone, and that space and time are experienced differently by different people.

He continued that if space comes in three dimensions - length, breadth and depth - then time is the fourth dimension. Together they form the framework of space-time, a revelation that formed Einstein's theory of special relativity, posted 10 years earlier in The discovery of a constant speed of light also meant that Newton's laws of gravity violated the universal speed limit. If attraction between the sun and the Earth was what caused gravity, then a shift in the position of the sun would cause an instantaneous shift in the orbit of the Earth.

But this shift would be faster than the speed of light - contradicting the findings of Einstein's special relativity. All the predictions it makes have been confirmed wherever they've been tested. The world would certainly never been able to enjoy Matthew McConaughey staying young while all around him aged by hundreds of years in the film Interstellar. This is because according to Einstein's theory, gravity can cause time to dilate. The closer you are to a mass producing gravity, the slower time passes.

8 Ways You Can See Einstein's Theory of Relativity in Real Life

Einstein himself, however, was sceptical about the idea of black holes. Star Trek obsessives will point out that while Star Wars is fantasy, Star Trek is more like hard-core sci-fi, meaning the laws of physics should — technically — be more accurate. General Relativity provides a wealth of possibilities for the writers of the long-running Star Trek series. Indeed the warp technology used by the Starship Enterprise is based upon Einstein's theories and works by warping space around the ship.

This fictional technology may never have been dreamed up if it was not for Einstein's famous theory, which detailed the warping of space and time. This bubble of folded space contracts in front of the ship and expands behind it faster than the speed of light, meaning that the ship itself is not, at any moment, traveling faster than the speed of light.

There is some artistic license, but in general there is nothing in our current understanding of physics that would make this impossible. In August, this year astrophysicist Professor Geraint Lewis from the University of Sydney announced that high-speed travel between galaxies - known as 'warp speed' - might actually be possible. Once the reserve of science fiction fantasy, speed-space travel is actually part of Einstein's theory of relativity, according to Professor Lewis. Einstein pictured was still a patent's clerk in Germany when he first came up with his theories of Special and General Relativity in and respectively.

We have hints that the kind of materials that we would need exist in the universe but whether or not we could get them together, we still don't know. While the principle may be still be theoretical, Professor Lewis said there are signs that aspects of the universe might actually have the kind of property needed for time-warp travel. This was largely motivated by the idea that light consists of a wave in the ether, and therefore is not an inertial phenomenon. However, experimental physicists in the late 's began to discover facts analogous to the phases of Venus, e.

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Einstein accounted for all these results by showing that they were perfectly natural if things are described in terms of inertial coordinates - provided we apply a more profound understanding of the definition and physical significance of such coordinate systems and the relationships between them. As a result of the first inertial revolution initiated by Copernicus , physicists had long been aware of the existence of a preferred class of coordinate systems - the inertial systems - with respect to which inertial phenomena are isotropic. These systems are equivalent up to orientation and uniform motion in a straight line, and it had always been tacitly assumed that the transformation from one system in this class to another was given by a Galilean transformation.

The fundamental observations in conflict with this assumption were those involving electric and magnetic fields that collectively implied Maxwell's equations of electromagnetism. These equations are not invariant under Galilean transformations, but they are invariant under Lorentz transformations.

The discovery of Lorentz invariance was similar to the discovery of the phases of Venus, in the sense that it irrevocably altered our awareness of the intrinsic relations between events. We can still go on using coordinate systems related by Galilean transformations, but we now realize that only one of those systems at most is a truly inertial system of coordinates. The electrodynamic theory of Lorentz was in some sense analogous to Tycho Brahe's model of the solar system, in which the planets revolve around the Sun but the Sun revolves around a stationary Earth.

Tycho's model was kinematically equivalent to Copernicus' Sun-centered model, but expressed — awkwardly — in terms of a coordinate system with respect to which the Earth is stationary, i. It's worth noting that we still define inertial coordinates just as Galileo did, i. All that has changed is our understanding of the relations between inertial coordinate systems. Einstein's famous "synchronization procedure" which was actually first proposed by Poincare was expressed in terms of light rays, but the physical significance of this procedure is due to the empirical fact that it yields exactly the same synchronization as does Galileo's synchronization procedure based on mechanical inertia.

To establish simultaneity between spatially separate events while floating freely in empty space, throw two identical objects in opposite directions with equal force, so that the thrower remains stationary in his original frame of reference. These objects then pass equal distances in equal times, i. In this way we can theoretically establish complete slices of inertial simultaneity in spacetime, based solely on the inertial behavior of material objects.

Someone moving uniformly relative to us can carry out this same procedure with respect to his own inertial frame of reference and establish his own slices of inertial simultaneity throughout spacetime. The unavoidable intrinsic relations that were discovered at the end of the 19th century show that these two sets of simultaneity slices are not identical.

The two main approaches to the interpretation of these facts were discussed in Sections 1. The approach advocated by Einstein was to adhere to the principle of inertia as the basis for organizing our understanding and descriptions of physical phenomena - which in itself was certainly not a novel idea. The novelty was in recognizing that the inertial coordinate systems are related by Lorentz transformations, and all that this implies, including the inertial of energy.

About the Theory Itself

In his later years Einstein observed "there is no doubt that the Special Theory of Relativity, if we regard its development in retrospect, was ripe for discovery in ". Those two propositions and their consequences essentially embody the whole of special relativity. Nevertheless, as late as Poincare was not prepared to say that the equivalence of all inertial frames combined with the invariance of two-way light speed were sufficient to infer Einstein's model.

He maintained that one must also stipulate a particular contraction of physical objects in their direction of motion. This is sometimes cited as evidence that Poincare still failed to understand the situation, but there's a sense in which he was actually correct. The two famous principles of Einstein's paper are not sufficient to uniquely identify the inertial coordinates, as Einstein himself later acknowledged. One must also stipulate, at the very least, homogeneity, memorylessness, and isotropy. Of these, the first two are rather innocuous, and one could be forgiven for failing to explicitly mention them, but not so the assumption of isotropy, which serves precisely to single out the inertial simultaneity convention from all the other - equally viable - conventions.

This is also precisely the aspect that is fixed by Poincare's postulate of contraction as a function of velocity. In a sense, the failure of Poincare to found the modern theory of relativity was not due to a lack of discernment on his part he clearly recognized the Lorentz group of space and time transformations , but rather to an excess of discernment and philosophical sophistication, preventing him from subscribing to the young patent examiner's inspired but perhaps slightly naive enthusiasm for the symmetrical interpretation, which is, after all, only one of infinitely many possibilities.

Poincare recognized too well the extent to which our physical models are both conventional and provisional. In retrospect, Poincare's scruples have the appearance of someone arguing that we could just as well regard the Earth rather than the Sun as the center of the solar system, i. Indeed Lorentz himself often expressed reservations about the relativistic interpretation.

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If this were true, it would be a valid reason for preferring Lorentz's approach. However, if we closely examine Lorentz's electron theory we find that full agreement with experiment required not only the invocation of Fitzgerald's contraction hypothesis, but also the assumption that mechanical inertia is Lorentz covariant. It's true that, after Poincare complained about the proliferation of hypotheses, Lorentz realized that the contraction could be deduced from more fundamental principles as discussed in Section 1.

Needless to say, it obviously cannot follow deductively "from the equations of the electromagnetic field" that the necessarily non -electromagnetic forces which hold the electron together must transform according to the same laws. Both Poincare and Einstein had already realized by that the mass of the electron cannot be entirely electromagnetic in origin, although Poincare seems not to have grasped the full significance of this fact. Even less can the Lorentz covariance of mechanical inertia be deduced from electromagnetic theory.

To this day we still do not know the origin of inertia, so no one can claim to have deduced Lorentz covariance in any constructive sense, let alone from the laws of electromagnetism. Hence Lorentz's molecular force hypothesis and his hypothesis of covariant mechanical inertia together are simply a disguised and piece-meal way of postulating universal Lorentz invariance - which is precisely what Lorentz claims to have deduced rather than postulated.

Profound implications

The whole task was to reconcile the Lorentzian covariance of electromagnetism with the Galilean covariance of mechanical dynamics, and Lorentz simply recognized that one way of doing this is to assume that mechanical dynamics i. This is presented as an explicit postulate not a deduction in the final edition of his book on the Electron Theory. To his credit, Lorentz candidly acknowledged that his deductions were "not altogether satisfactory", but this is actually an understatement, because in the end he simply postulated what he claimed to have deduced.

In contrast, Einstein recognized the necessity of invoking the principle of relativity and Lorentz invariance at the start, and then demonstrated that all the other "constructive" labor involved in Lorentz's approach was superfluous, because once we have adopted these premises, all the experimental results follow unavoidably, with no need for molecular force hypotheses or any other exotic and dubious conjectures regarding the ultimate constituency of matter.

On some level Lorentz grasped the superiority of the purely relativistic approach, as is evident from the words he included in the second edition of his "Theory of Electrons" in If I had to write the last chapter now, I should certainly have given a more prominent place to Einstein's theory of relativity by which the theory of electromagnetic phenomena in moving systems gains a simplicity that I had not been able to attain. The chief cause of my failure was my clinging to the idea that the variable t only can be considered as the true time, and that my local time t' must be regarded as no more than an auxiliary mathematical quantity.

Still, neither Lorentz nor Poincare ever whole-heartedly embraced special relativity, for reasons that may best be summed up by Lorentz when he wrote. Yet, I think, something may also be claimed in favor of the form in which I have presented the theory.

Experimental evidence

Relativity is one of the most famous scientific theories of the 20th century, but how well does it explain the things we see in our daily lives? Formulated by Albert Einstein in , the theory of relativity is the notion that the laws of physics are the same everywhere. The theory of relativity usually encompasses two interrelated theories by Albert Einstein: New mathematical techniques to apply to general relativity streamlined calculations and made its concepts more easily visualized. As astronomical.

I cannot but regard the aether, which can be the seat of an electromagnetic field with its energy and its vibrations, as endowed with a certain degree of substantiality, however different it may be from all ordinary matter. In this line of thought it seems natural not to assume at starting that it can never make any difference whether a body moves through the aether or not, and to measure distances and lengths of time by means of rods and clocks having a fixed position relatively to the aether.

This passage implies that Lorentz's rationale for retaining a substantial aether and attempting to refer all measurements to the rest frame of this aether without, of course, specifying how that is to be done was the belief that it might, after all, make some difference whether a body moves through the aether or not. A century later, our present knowledge of the weak and strong nuclear forces and the precise behavior of particles at 0. Einstein cited both Ernst Mach and David Hume as inspirations for the willingness to challenge deeply held notions e. In addition to the formulas expressing the Lorentz transformations, we can also find precedents for other results commonly associated with special relativity, such as the equivalence of mass and energy.

Isaac Newton famously asked "Are not gross bodies and light convertible into one another?

Brian Greene Explains That Whole General Relativity Thing

In a more modern context, the general idea of associating mass with energy in some way had been around for about 25 years prior to Einstein's papers. In another interesting observation, NASA's Kepler telescope spotted a dead star, known as a white dwarf, orbiting a red dwarf in a binary system. Although the white dwarf is more massive, it has a far smaller radius than its companion. Changes in the orbit of Mercury: The orbit of Mercury is shifting very gradually over time, due to the curvature of space-time around the massive sun. In a few billion years, it could even collide with Earth. Frame-dragging of space-time around rotating bodies: The spin of a heavy object, such as Earth, should twist and distort the space-time around it.

The precisely calibrated satellite caused the axes of gyroscopes inside to drift very slightly over time, a result that coincided with Einstein's theory. GP-B confirmed two of the most profound predictions of Einstein's universe, having far-reaching implications across astrophysics research. The electromagnetic radiation of an object is stretched out slightly inside a gravitational field. Think of the sound waves that emanate from a siren on an emergency vehicle; as the vehicle moves toward an observer, sound waves are compressed, but as it moves away, they are stretched out, or redshifted.

Known as the Doppler Effect, the same phenomena occurs with waves of light at all frequencies. In , two physicists, Robert Pound and Glen Rebka, shot gamma-rays of radioactive iron up the side of a tower at Harvard University and found them to be minutely less than their natural frequency due to distortions caused by gravity.

Violent events, such as the collision of two black holes, are thought to be able to create ripples in space-time known as gravitational waves. It is thought that such waves are embedded in the cosmic microwave background. However, further research revealed that their data was contaminated by dust in the line of sight. LIGO spotted the first confirmed gravitational wave on September 14, The pair of instruments, based out of Louisiana and Washington, had recently been upgraded, and were in the process of being calibrated before they went online.

The first detection was so large that, according to LIGO spokesperson Gabriela Gonzalez, it took the team several months of analyzation to convince themselves that it was a real signal and not a glitch.