Theory of relativity

Two-dimensional projection of a three-dimensional analogy of spacetime curvature described in general relativity

The theory of relativity, or simply relativity, generally encompasses two theories by Albert Einstein: special relativity and general relativity.^[1] (The word relativity can also be used in the context of an older theory, that of Galilean invariance.)

Concepts introduced by the theories of relativity include:

• Measurements of various quantities are relative to the velocities of observers. In particular, space and time can dilate.
• Spacetime: space and time should be considered together and in relation to each other.
• The speed of light is nonetheless invariant, the same for all observers.

The term "theory of relativity" was based on the expression "relative theory" (German: Relativtheorie) used by Max Planck in 1906, who emphasized how the theory uses the principle of relativity. In the discussion section of the same paper Alfred Bucherer used for the first time the expression "theory of relativity" (German: Relativitätstheorie).^[2][3]

Scope [edit]

The theory of relativity transformed theoretical physics and astronomy during the 20th century. When first published, relativity superseded a 200-year-old theory of mechanics created primarily by Isaac Newton.^[4][5][6]

In the field of physics, relativity catalyzed and added an essential depth of knowledge to the science of elementary particles and their fundamental interactions, along with ushering in the nuclear age. With relativity, cosmology and astrophysics predicted extraordinary astronomical phenomena such as neutron stars, black holes, and gravitational waves.^[4][5][6]

Two-theory view [edit]

The theory of relativity was representative of more than a single new physical theory. There are some explanations for this. First, special relativity was published in 1905, and the final form of general relativity was published in 1916.^[4]

Second, special relativity applies to elementary particles and their interactions, whereas general relativity applies to the cosmological and astrophysical realm, including astronomy.^[4]

Third, special relativity was widely accepted in the physics community by 1920. This theory rapidly became a significant and necessary tool for theorists and experimentalists in the new fields of atomic physics, nuclear physics, and quantum mechanics. Conversely, general relativity did not appear to be as useful. There appeared to be little applicability for experimentalists as most applications were for astronomical scales. It seemed limited to only making minor corrections to predictions of Newtonian gravitation theory.^[4]

Finally, the mathematics of general relativity appeared to be very difficult. Consequently, it was thought that a small number of people in the world, at that time, could fully understand the theory in detail, but this has been discredited by Richard Feynman. Then, at around 1960 a critical resurgence in interest occurred which has resulted in making general relativity central to physics and astronomy. New mathematical techniques applicable to the study of general relativity substantially streamlined calculations. From this, physically discernible concepts were isolated from the mathematical complexity. Also, the discovery of exotic astronomical phenomena in which general relativity was crucially relevant, helped to catalyze this resurgence. The astronomical phenomena included quasars (1963), the 3-kelvin microwave background radiation (1965), pulsars (1967), and the discovery of the first black hole candidates (1971).^[4]

On the theory of relativity [edit]

Einstein stated that the theory of relativity belongs to a class of "principle-theories". As such it employs an analytic method. This means that the elements which comprise this theory are not based on hypothesis but on empirical discovery. The empirical discovery leads to understanding the general characteristics of natural processes. Mathematical models are then developed which separate the natural processes into theoretical-mathematical descriptions. Therefore, by analytical means the necessary conditions that have to be satisfied are deduced. Separate events must satisfy these conditions. Experience should then match the conclusions.^[7]

The special theory of relativity and the general theory of relativity are connected. As stated below, special theory of relativity applies to all physical phenomena except gravity. The general theory provides the law of gravitation, and its relation to other forces of nature.^[7]

Special relativity [edit]

USSR stamp dedicated to Albert Einstein

Special relativity is a theory of the structure of spacetime. It was introduced in Einstein's 1905 paper "On the Electrodynamics of Moving Bodies" (for the contributions of many other physicists see History of special relativity). Special relativity is based on two postulates which are contradictory in classical mechanics:

1. The laws of physics are the same for all observers in uniform motion relative to one another (principle of relativity).
2. The speed of light in a vacuum is the same for all observers, regardless of their relative motion or of the motion of the source of the light.

The resultant theory copes with experiment better than classical mechanics, e.g. in the Michelson–Morley experiment that supports postulate 2, but also has many surprising consequences. Some of these are:

• Relativity of simultaneity: Two events, simultaneous for one observer, may not be simultaneous for another observer if the observers are in relative motion.
• Time dilation: Moving clocks are measured to tick more slowly than an observer's "stationary" clock.
• Length contraction: Objects are measured to be shortened in the direction that they are moving with respect to the observer.
• Mass–energy equivalence: E = mc², energy and mass are equivalent and transmutable.
• Maximum speed is finite: No physical object, message or field line can travel faster than the speed of light in a vacuum.

The defining feature of special relativity is the replacement of the Galilean transformations of classical mechanics by the Lorentz transformations. (See Maxwell's equations of electromagnetism).

General relativity [edit]

General relativity is a theory of gravitation developed by Einstein in the years 1907–1915. The development of general relativity began with the equivalence principle, under which the states of accelerated motion and being at rest in a gravitational field (for example when standing on the surface of the Earth) are physically identical. The upshot of this is that free fall is inertial motion: an object in free fall is falling because that is how objects move when there is no force being exerted on them, instead of this being due to the force of gravity as is the case in classical mechanics. This is incompatible with classical mechanics and special relativity because in those theories inertially moving objects cannot accelerate with respect to each other, but objects in free fall do so. To resolve this difficulty Einstein first proposed that spacetime is curved. In 1915, he devised the Einstein field equations which relate the curvature of spacetime with the mass, energy, and momentum within it.

Some of the consequences of general relativity are:

• Clocks run more slowly in deeper gravitational wells.^[8] This is called gravitational time dilation.
• Orbits precess in a way unexpected in Newton's theory of gravity. (This has been observed in the orbit of Mercury and in binary pulsars).
• Rays of light bend in the presence of a gravitational field.
• Rotating masses "drag along" the spacetime around them; a phenomenon termed "frame-dragging".
• The universe is expanding, and the far parts of it are moving away from us faster than the speed of light.

Technically, general relativity is a theory of gravitation whose defining feature is its use of the Einstein field equations. The solutions of the field equations are metric tensors which define the topology of the spacetime and how objects move inertially.

Experimental evidence [edit]

Tests of special relativity [edit]

A diagram of the Michelson–Morley experiment

Like all falsifiable scientific theories, relativity makes predictions that can be tested by experiment. In the case of special relativity, these include the principle of relativity, the constancy of the speed of light, and time dilation.^[9] The predictions of special relativity have been confirmed in numerous tests since Einstein published his paper in 1905, but three experiments conducted between 1881 and 1938 were critical to its validation. These are the Michelson–Morley experiment, the Kennedy–Thorndike experiment, and the Ives–Stilwell experiment. Einstein derived the Lorentz transformations from first principles in 1905, but these three experiments allow the transformations to be induced from experimental evidence.

Maxwell's equations – the foundation of classical electromagnetism – describe light as a wave which moves with a characteristic velocity. The modern view is that light needs no medium of transmission, but Maxwell and his contemporaries were convinced that light waves were propagated in a medium, analogous to sound propagating in air, and ripples propagating on the surface of a pond. This hypothetical medium was called the luminiferous aether, at rest relative to the "fixed stars" and through which the Earth moves. Fresnel's partial ether dragging hypothesis ruled out the measurement of first-order (v/c) effects, and although observations of second-order effects (v²/c²) were possible in principle, Maxwell thought they were too small to be detected with then-current technology.^[10][11]

The Michelson–Morley experiment was designed to detect second order effects of the "aether wind" – the motion of the aether relative to the earth. Michelson designed an instrument called the Michelson interferometer to accomplish this. The apparatus was more than accurate enough to detect the expected effects, but he obtained a null result when the first experiment was conducted in 1881,^[12] and again in 1887.^[13] Although the failure to detect an aether wind was a disappointment, the results were accepted by the scientific community.^[11] In an attempt to salvage the aether paradigm, Fitzgerald and Lorentz independently created an ad hoc hypothesis in which motion the length of material bodies changes according to their motion through the aether.^[14] This was the origin of Fitzgerald-Lorentz contraction, and their hypothesis had no theoretical basis. The interpretation of the null result of the Michelson–Morley experiment is that the round-trip travel time for light is isotropic (independent of direction), but the result alone is not enough to discount the theory of the aether or validate the predictions of special relativity.^[15][16]

The Kennedy–Thorndike experiment shown with interference fringes.

While the Michelson–Morley experiment showed that the velocity of light is isotropic, it said nothing about how the magnitude of the velocity changed (if at all) in different inertial frames. The Kennedy–Thorndike experiment was designed to do that, and was first performed in 1932 by Roy Kennedy and Edward Thorndike.^[17] They obtained a null result, and concluded that "there is no effect ... unless the velocity of the solar system in space is no more than about half that of the earth in its orbit".^[16][18] That possibility was thought to be too coincidental to provide an acceptable explanation, so from the null result of their experiment it was concluded that the round-trip time for light is the same in all inertial reference frames.^[15][16]

The Ives–Stilwell experiment was carried out by Herbert Ives and G.R. Stilwell first in 1938^[19] and with better accuracy in 1941.^[20] It was designed to test the transverse Doppler effect – the redshift of light from a moving source in a direction perpendicular to its velocity – which had been predicted by Einstein in 1905. The strategy was to compare observed Doppler shifts with what was predicted by classical theory, and look for a Lorentz factor correction. Such a correction was observed, from which was concluded that the frequency of a moving atomic clock is altered according to special relativity.^[15][16]

Those classic experiments have been repeated many times with increased precision. Other experiments include, for instance, relativistic energy and momentum increase at high velocities, time dilation of moving particles, and modern searches for Lorentz violations.

Tests of general relativity [edit]

General relativity has also been confirmed many times, the classic experiments being the perihelion precession of Mercury's orbit, the deflection of light by the Sun, and the gravitational redshift of light. Other tests confirmed the equivalence principle and frame dragging.

History [edit]

The history of special relativity consists of many theoretical results and empirical findings obtained by Albert Michelson, Hendrik Lorentz, Henri Poincaré and others. It culminated in the theory of special relativity proposed by Albert Einstein, and subsequent work of Max Planck, Hermann Minkowski and others.

General relativity (GR) is a theory of gravitation that was developed by Albert Einstein between 1907 and 1915, with contributions by many others after 1915.

Currently, it can be said that far from being simply of theoretical scientific interest or requiring experimental verification, the analysis of relativistic effects on time measurement is an important practical engineering concern in the operation of the global positioning systems such as GPS, GLONASS, and the forthcoming Galileo, as well as in the the high precision dissemination of time.^[21] Instruments ranging from electron microscopes to particle accelerators simply will not work if relativistic considerations are omitted.

Minority views [edit]

Einstein's contemporaries did not all accept his new theories at once. However, the theory of relativity is now considered as a cornerstone of modern physics, see Criticism of relativity theory.

Although it is widely acknowledged that Einstein was the creator of relativity in its modern understanding, some believe that others deserve credit for it, see Relativity priority dispute.

See also [edit]

Physics portal

• General relativity references
• Special relativity references

References [edit]

Further reading [edit]

• Bergmann, Peter G. (1976). Introduction to the Theory of Relativity. Dover Publications. ISBN 0-486-63282-2. 
• Brian, Denis (1995). Einstein: a life. New York: J. Wiley. ISBN 0471114596. 
• Einstein, Albert; trans. Lawson, Robert W. (2005). Relativity: The Special and General Theory (The masterpiece science ed. ed.). New York: Pi Press. ISBN 0131862618. 
• Einstein, Albert; trans. Schilpp, Paul Arthur (1979). Albert Einstein, Autobiographical Notes (A Centennial ed. ed.). La Salle, Ill.: Open Court Publishing Co. ISBN 0875483526. 
• Einstein, Albert; trans. Harris, Alan (2009). Einstein's Essays in Science (Dover ed. ed.). Mineola, N.Y.: Dover Publications. ISBN 9780486470115. 
• Einstein, Albert (1956) [1922]. The Meaning of Relativity (5 ed.). Princeton University Press. 
• Ohanian, Hans C. (2008). Einstein's Mistakes: The Human Failings of Genius (1st ed. ed.). New York: W.W. Norton & Co. ISBN 9780393062939. 
• Lavenda, Bernard H. (2011). A New Perspective On Relativity: An Odyssey in Non-Euclidean Geometries (1st ed. ed.). Singapore: World Scientific. ISBN 9814340499. 
• Russell, Bertrand (1969). The ABC of Relativity (3rd rev. ed ed.). London: Allen & Unwin. ISBN 0045210012. 
• Stephen, Hawking; Mlodinow, Leonard (2005). A Briefer History of Time. New York, NY: Bantam Dell. ISBN 9780553804362. 
• Brockman, John, ed. (2006). My Einstein (1. ed. ed.). New York: Pantheon Books. ISBN 0375423451. 

External links [edit]

Wikisource has original works on the topic: Relativity

Wikisource has original text related to this article: Relativity: The Special and General Theory

Look up theory of relativity in Wiktionary, the free dictionary.

Wikimedia Commons has media related to: Theory of relativity

• Theory of relativity at the Open Directory Project
• Relativity Milestones: Timeline of Notable Relativity Scientists and Contributions

v t e Time Key concepts Past history deep time Present Future futurology Eternity arguments for Immortality  Time portal Measurement and standards Chronometry UTC UT TAI Unit of time Hour Minute Second Sidereal time Solar time Time zone Metric time Decimal time Hexadecimal time Clock 12-hour clock 24-hour clock Astrarium History of timekeeping devices Horology Marine chronometer Sundial Water clock Calendar Day Week Month Year Tropical year Decade Century Millennium Gregorian Islamic Julian Solar Hijri Mayan Intercalation Leap second Leap year Chronology / history / archaeology / geology Astronomical chronology  /  Calendar era Chronicle Timeline Periodization Regnal year Big History  /  Dating methodologies  /  Geological time Geochronology Geological history Deep time Eon Era Period Epoch Age Chron Religion and mythology Dreamtime Kāla Kalachakra Prophecy Time and fate deities Wheel of time Philosophy A-series and B-series B-theory of time Causality Duration Endurantism Eternal return Eternalism Event Perdurantism Presentism Temporal finitism Temporal parts The Unreality of Time Physics Absolute time and space Arrow of time Chronon Coordinate time Planck epoch Planck time Proper time Rate Spacetime Theory of relativity Time dilation gravitational Time domain T-symmetry Biology / psychology / sociology / economics / accounting / management Chronobiology Circadian rhythms  /  Mental chronometry Specious present Time perception  /  Time discipline  /  Time use research Time value of money Time-based currency Time banking Term  /  Accounting period Fiscal year  /  Time management Punctuality Procrastination Time clock Timesheet Time tracking software Related topics Carpe diem Clock position Space System time Tempus fugit Time capsule Time signature Time travel