483 lines
28 KiB
Plaintext
483 lines
28 KiB
Plaintext
ÜÜÜÜÜÜÜÜÜÜÜÜÜ ÜÜÜ ÜÜÜÜ
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ÜÛÛÛÛÛÛÛÛßÛßßßßßÛÛÜ ÜÜßßßßÜÜÜÜ ÜÛÜ ÜÛÛÛÛÛÛÛÛÜÜÜÜÜÛßß ßÛÛ
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ßÛÛÛÛÛÛÛÛÛÛÛÛÛÛÜ ßÛÛ ÜÛÛÛÜÛÛÜÜÜ ßÛÛÛÛÜ ßÛÛÛÛÛÛÛÜÛÛÜÜÜÛÛÝ Ûß
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ßßßÛÛÛÛÛÛÛÛÛÛÜ ÞÝ ÛÛÛÛÛÛÛÛÛÛÛßßÛÜÞÛÛÛ ÛÛÛÛÛÜ ßßÛÛÛÞß
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Mo.iMP ÜÛÛÜ ßÛÛÛÛÛÛÛÝÛ ÞÛÛÛÛÛÛÛÛÛ ÞÛÛÛÛ ÞÛÛÛÛÛÝ ßÛß
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ÜÛÛÛÛÛÛÛ ÛÛÛÛÛÛÛÛÝ ÞÛÛÛÛÛÛÛÛÝ ÛÛÛ ÛÛÛÛÛÛ
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ÜÛÛÛÛÛÛÛÝ ÞÛÛÛÛÛÛÛÛ ÞÛÛÛÛÛÛÛÛ ß ÞÛÛÛÛÛÛÜ ÜÛ
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ÜÛÛÛÛÛÛÛÝ ÛÛÛÛÛÛÛÛ ÛÛÛÛÛÛÛÛÝ ÞÞÛÛÛÛÛÛÛÛÛß
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ÜÛßÛÛÛÛÛÛ ÜÜ ÛÛÛÛÛÛÛÛÝ ÛÛÞÛÛÛÛÛÝ ÞÛÛÛÛÛÛßß
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ÜÛßÛÛÛÛÛÛÜÛÛÛÛÜÞÛÛÛÛÛÛÛÛ ÞÛ ßÛÛÛÛÛ Ü ÛÝÛÛÛÛÛ Ü
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ÜÛ ÞÛÛÛÛÛÛÛÛÛÛß ÛÛÛÛÛÛÛÛÛ ßÛÜ ßÛÛÛÜÜ ÜÜÛÛÛß ÞÛ ÞÛÛÛÝ ÜÜÛÛ
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ÛÛ ÛÛÛÛÛÛÛÛß ÛÛÛÛÛÛÛÛÛÛÜ ßÛÜ ßßÛÛÛÛÛÛÛÛÛß ÜÜÜß ÛÛÛÛÜÜÜÜÜÜÜÛÛÛÛÛß
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ßÛÜ ÜÛÛÛß ßÛÛÛÛÛÛÛÛÛÛÜ ßßÜÜ ßßÜÛÛßß ßÛÛÜ ßßßÛßÛÛÛÛÛÛÛßß
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ßßßßß ßßÛÛß ßßßßß ßßßßßßßßßßßßß
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ARRoGANT CoURiERS WiTH ESSaYS
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Grade Level: Type of Work Subject/Topic is on:
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[ ]6-8 [ ]Class Notes [Origins and Bibliography]
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[x]9-10 [ ]Cliff Notes [of the Big Bang Theory ]
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[ ]11-12 [x]Essay/Report [ ]
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[ ]College [ ]Misc [ ]
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Dizzed: 10/94 # of Words:4067 School: ? State: ?
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ÄÄÄÄÄÄÄÄÄ>ÄÄÄÄÄÄÄÄÄ>ÄÄÄÄÄÄÄÄÄ>Chop Here>ÄÄÄÄÄÄÄÄÄ>ÄÄÄÄÄÄÄÄÄ>ÄÄÄÄÄÄÄÄÄ>ÄÄÄÄÄÄÄÄÄ
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ORIGINS: Background & Bibliography
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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Assembled for the PHILOsophy Conference of:
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Computer Connection PO Box 382
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BBS (609) 784-9404 Voorhees, NJ 08043
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by T.A. Hare Nov. 13, 1985
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Topic: Areas of interaction between philosophy, science, andÿreligion.
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Part I - Big Bang (Astronomy)
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Part II - Unified Field (Particle Physics)
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Part III - Evolution (Biology).
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Part IV - Theologic interaction
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- - - -
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Part II - Unified Field Theory of Particle Physics:
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~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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And God said, "Let there be an expanse between the waters
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to separate water from water." (Gen. 1:6)
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And God said, "Let the water under the sky be gathered to one place,
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and let dry ground appear." And it was so. (Gen. 1:9)
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- - - -
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Further reading:
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1. John H. Schwartz, "Completing Einstein", SCIENCE 85, vol 6, pp 60-64,
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1985.
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2. Robert Palmer, "What's a Quark?", SCIENCE 85, VOL 6, pp 66-71, 1985
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3. Bruce Schechter, "The Moment of Creation", DISCOVER, April 1983,
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pp 18-25.
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4. Lawrence R. Sulak, "Waiting for the Proton to Decay", AMERICAN
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SCIENTIST, 70, 616-625, 1982.
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5. Mary K. Gaillard, "Toward a Unified Picture of Elementary Particle
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Interactions", AMERICAN SCIENTIST 70, 506-514.
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- - - -
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The following background articles were downloaded from American Adacemic
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Encyclopedia via Dow Jones News Retrevial Service; Nov 12, 1985
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UNIFIED FIELD THEORY
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Classical attempts at devising a unified field theory, principally those
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of Einstein, were concerned with the combination of gravitation (the
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general theory of RELATIVITY) and electromagnetism into the same
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theoretical framework. Electromagnetism is described by MAXWELL'S EQUATIONS
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for an antisymmetric tensor, whereas Einstein's theory of gravitation
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centers about a symmetric metric tensor; Einstein's idea was to combine
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both descriptions into a single, nonsymmetric tensor, thereby treating both
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subjects from an essentially geometric point of view. Other attempts to
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incorporate electromagnetism into the basically geometric formalism of
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general relativity were made by Hermann Weyl (1918) and more recently by
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John Wheeler; although some theories are more esthetic than others, all
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lack the connection with quantum phenomena that is so important for
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interactions other than gravitation.
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More-recent attempts at unification have been made from the quite
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different point of view of merging the quantum field theories that (are
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supposed to) describe the four FUNDAMENTAL INTERACTIONS of gravity,
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electromagnetism, and the weak and the strong nuclear interactions. The
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most palatable unification so far has been given by Steven WEINBERG of
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Harvard University and independently by Abdus SALAM of Imperial College,
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London, joining electromagnetism and the weak interactions. In the simplest
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version of this type of unified gauge theory, forces are transmitted by the
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exchange of four different types of particles called bosons, which are
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assumed to be massless. By means of a "broken symmetry" an effective
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generation of masses occurs, so that the Weinberg-Salam theory envisages
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the weak interactions as being transmitted by massive "W" mesons, in which
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one meson, identified with the photon, remains massless, while the other
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three, identified with the quanta that transmit the weak interaction, are
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estimated to be quite heavy. Their rest-mass energies are on the order of
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50 to 100 times the mass of the proton, and their observation should become
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possible with the next generation of high-energy accelerators. So far, the
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Weinberg-Salam theory has passed every unambiguous test to which it has
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been subjected. Weinberg and Salam shared the 1979 Nobel Prize for physics
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for their model.
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Many other unified theories, involving strong interaction and even
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gravitation, have recently been proposed. Such grand unification schemes to
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date have unavoidable and questionable consequences, such as the removal of
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the separate conservation of baryon and lepton number; they predict a
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proton could decay into a lepton plus pions--an improbable event that is
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actively being searched for at present. Recent grand unification schemes
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require the existence of magnetic MONOPOLES. These hypothetical particles,
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also called grand unification monopoles (GUMs), are thought to be very
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massive, with a mass ranging from 10 to the 16th power to 10 to the 19th
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power GeV. No experimental evidence of monopoles has yet been found. H.
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M. FRIED
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Bibliography
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Bergmann, Peter G., Introduction to the Theory of Relativity (1942;
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repr. 1976)
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Einstein, Albert, The Meaning of Relativity, 5th ed. (1956)
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Hadlock, Charles, Field Theory and Its Classical Problems (1979)
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Tonnelat, Marie A., Einstein's Theory of Unified Fields (1966).
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- - - -
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RELATIVITY
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Albert Einstein's theory of relativity has caused major revolutions in
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physics and astronomy during the 20th century. It introduced to science the
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concept of "relativity"--the notion that there is no absolute motion in the
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universe, only relative motion--thus superseding the 200-year-old theory of
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mechanics of Isaac Newton. Einstein showed that we reside not in the flat,
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Euclidean space and uniform, absolute time of everyday experience, but in
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another environment: curved space-time. The theory played a role in
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advances in physics that led to the nuclear era, with its potential for
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benefit as well as for destruction, and that made possible an understanding
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of the microworld of elementary particles and their interactions. It has
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also revolutionized our view of COSMOLOGY, with its predictions of
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apparently bizarre astronomical phenomena such as the BIG BANG, NEUTRON
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STARS, BLACK HOLES, and gravitational waves (see GRAVITATION).
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Scope of Relativity
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The theory of relativity is a single, all-encompassing theory of
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space-time, gravitation, and mechanics. It is popularly viewed, however,
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as having two separate, independent theoretical parts-- special relativity
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and general relativity. One reason for this division is that Einstein
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presented special relativity in 1905, while general relativity was not
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published in its final form until 1916. Another reason is the very
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different realms of applicability of the two parts of the theory: special
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relativity in the world of microscopic physics, general relativity in the
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world of astrophysics and cosmology.
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A third reason is that physicists accepted and understood special
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relativity by the early 1920s. It quickly became a working tool for
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theorists and experimentalists in the then-burgeoning fields of atomic and
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nuclear physics and quantum mechanics. This rapid acceptance was not,
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however, the case for general relativity. The theory did not appear to have
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as much direct connection with experiment as the special theory; most of
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its applications were on astronomical scales, and it was apparently limited
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to adding miniscule corrections to the predictions of Newtonian gravitation
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theory; its cosmological impact would not be felt for another decade. In
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addition, the mathematics of the theory were thought to be extraordinarily
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difficult to comprehend. The British astronomer Sir Arthur Eddington, one
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of the first to fully understand the theory in detail, was once asked if it
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were true that only three people in the world understood general
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relativity. He is said to have replied, "Who is the third?"
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This situation persisted for almost 40 years. General relativity was
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considered a respectable subject not for physicists, but for pure
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mathematicians and philosophers. Around 1960, however, a remarkable
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resurgence of interest in general relativity began that has made it an
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important and serious branch of physics and astronomy. (By 1977,
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Eddington's remark was recalled at a conference on general relativity
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attended by more than 800 researchers in the subject.) This growth has its
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roots, first, beginning around 1960, in the application of new mathematical
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techniques to the study of general relativity that significantly
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streamlined calculations and that allowed the physically significant
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concepts to be isolated from the mathematical complexity, and second, in
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the discovery of exotic astronomical phenomena in which general relativity
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could play an important role, including quasars (1963), the 3-kelvin
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microwave background radiation (1965), pulsars (1967), and the possible
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discovery of black holes (1971). In addition, the rapid technological
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advances of the 1960s and '70s gave experimenters new high-precision tools
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to test whether general relativity was the correct theory of gravitation.
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The distinction between special relativity and the curved space-time of
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general relativity is largely a matter of degree. Special relativity is
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actually an approximation to curved space-time that is valid in
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sufficiently small regions of space-time, much as the overall surface of an
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apple is curved even though a small region of the surface is approximately
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flat. Special relativity thus may be used whenever the scale of the
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phenomena being studied is small compared to the scale on which space-time
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curvature (gravitation) begins to be noticed. For most applications in
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atomic or nuclear physics, this approximation is so accurate that
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relativity can be assumed to be exact; in other words, gravity is assumed
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to be completely absent. From this point of view, special relativity and
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all its consequences may be "derived" from a single simple postulate. In
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the presence of gravity, however, the approximate nature of special
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relativity may manifest itself, so the principle of equivalence is invoked
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to determine how matter responds to curved space-time. Finally, to learn
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the extent that space-time is curved by the presence of matter, general
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relativity is applied.
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Special Relativity
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The two basic concepts of special relativity are the inertial frame and
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the principle of relativity. An inertial frame of reference is any region,
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such as a freely falling laboratory (see FREE FALL), in which all objects
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move in straight lines with uniform velocity. This region is free from
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gravitation and is called a Galilean system. The principle of relativity
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postulates that the result of any physical experiment performed inside a
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laboratory in an inertial frame is independent of the uniform velocity of
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the frame. In other words, the laws of physics must have the same form in
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every inertial frame. A corollary is that the speed of light must be the
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same in any inertial frame (because a speed-of-light measurement is a
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physical experiment) regardless of the speed of its source or that of the
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observer. Essentially all the laws and consequences of special relativity
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can be derived from these concepts.
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The first important consequence is the relativity of simultaneity.
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Because any operational definition of simultaneous events at different
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locations involves the sending of light signals between them, then two
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events that are simultaneous in one inertial frame may not be simultaneous
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when viewed from a frame moving relative to the first. This conclusion
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helped abolish the Newtonian concept of an absolute, universal time. In
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some ways the most important consequences and confirmations of special
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relativity arise when it is merged with quantum mechanics, leading to many
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predictions in agreement with experiments, such as elementary particle
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spin, atomic fine structure, antimatter, and so on.
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The mathematical foundations of special relativity were explored in 1908
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by the German mathematician Hermann Minkowski, who developed the concept of
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a "four-dimensional space-time continuum," in which time is treated the
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same as the three spatial dimensions--the fourth dimension of Minkowski
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space-time.
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The Principle of Equivalence and Space-time Curvature
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The exact Minkowski space-time of special relativity is incompatible
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with the existence of gravity. A frame chosen to be inertial for a particle
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far from the Earth where the gravitational field is negligible will not be
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inertial for a particle near the Earth. An approximate compatibility
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between the two, however, can be achieved through a remarkable property of
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gravitation called the weak equivalence principle (WEP): all modest-sized
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bodies fall in a given external gravitational field with the same
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acceleration regardless of their mass, composition, or structure. The
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principle's validity has been checked experimentally by Galileo, Newton,
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and Friedrich Bessel, and in the early 20th century by Baron Roland von
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Eotvos (after whom such experiments are named). If an observer were to ride
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in an elevator falling freely in a gravitational field, then all bodies
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inside the elevator, because they are falling at the same rate, would
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consequently move uniformly in straight lines as if gravity had vanished.
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Conversely, in an accelerated elevator in free space, bodies would fall
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with the same acceleration (because of their inertia), just as if there
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were a gravitational field.
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Einstein's great insight was to postulate that this "vanishing" of
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gravity in free-fall applied not only to mechanical motion but to all the
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laws of physics, such as electromagnetism. In any freely falling frame,
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therefore, the laws of physics should (at least locally) take on their
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special relativistic forms. This postulate is called the Einstein
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equivalence principle (EEP). One consequence is the gravitational redshift,
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a shift in frequency f for a light ray that climbs through a height h in a
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gravitational field, given by (delta f)/f = gh/cc where g is the
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gravitational acceleration. (If the light ray descends, it is blueshifted.)
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Equivalently, this effect can be viewed as a relative shift in the rates of
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identical clocks at two heights. A second consequence of EEP is that
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space-time must be curved. Although this is a highly technical issue,
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consider the example of two frames falling freely, but on opposite sides of
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the Earth. According to EEP, Minkowski space-time is valid locally in each
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frame; however, because the frames are accelerating toward each other, the
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two Minkowski space-times cannot be extended until they meet in an attempt
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to mesh them into one. In the presence of gravity, space-time is flat only
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locally but must be curved globally.
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Any theory of gravity that fulfills EEP is called a "metric" theory (from
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the geometrical, curved-space-time view of gravity). Because the
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equivalence principle is a crucial foundation for this view, it has been
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well tested. Versions of the Eotvos experiment performed in Princeton in
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1964 and in Moscow in 1971 verified EEP to 1 part in 10(12). Gravitational
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redshift measurements using gamma rays climbing a tower on the Harvard
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University campus (1965), using light emitted from the surface of the Sun
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(1965), and using atomic clocks flown in aircraft and rockets (1976) have
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verified that effect to precisions of better than 1 percent.
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General Relativity
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The principle of equivalence and its experimental confirmation reveal
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that space-time is curved by the presence of matter, but they do not
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indicate how much space-time curvature matter actually produces. To
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determine this curvature requires a specific metric theory of gravity, such
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as general relativity, which provides a set of equations that allow
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computation of the space-time curvature from a given distribution of
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matter. These are called field equations. Einstein's aim was to find the
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simplest field equations that could be constructed in terms of the
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space-time curvature and that would have the matter distribution as source.
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The result was a set of 10 equations. This is not, however, the only
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possible metric theory. In 1960, C. H. Brans and Robert Dicke developed a
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metric theory (see GRAVITATION) that proposed, in addition to field
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equations for curvature, equations for an additional gravitational field
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whose role was to mediate and augment the way in which matter generated
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curvature. Between 1960 and 1976 it became a serious competitor to general
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relativity. Many other metric theories have also been invented since 1916.
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An important issue, therefore, is whether general relativity is indeed
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the correct theory of gravity. The only way to answer this question is by
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means of experiment. In the past scientists customarily spoke of the three
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classical tests proposed by Einstein: gravitational redshift, light
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deflection, and the perihelion shift of Mercury. The redshift, however, is
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a test of the equivalence principle, not of general relativity itself, and
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two new important tests have been discovered since Einstein's time: the
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time-delay by I. I. Shapiro in 1964, and the Nordtvedt effect by K.
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Nordtvedt, Jr., in 1968.
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The confirmation of the deflection of starlight by the Sun by the solar
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eclipse expedition of 1919 was one of the triumphant moments for general
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relativity and brought Einstein worldwide fame. According to the theory, a
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ray of light propagating through the curved space-time near the Sun should
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be deflected in direction by 1.75 seconds of arc if it grazes the solar
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surface. Unfortunately, measurements of the deflection of optical starlight
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are difficult (in part because of need for a solar eclipse to obscure the
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light of the Sun), and repeated measurements between 1919 and 1973 yielded
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inaccurate results. This method has been supplanted by measurements of the
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deflection of radio waves from distant quasars using radio-telescope
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interferometers, which can operate in broad daylight. Between 1969 and
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1975, 12 such measurements ultimately yielded agreement, to 1 percent, with
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the predicted deflection of general relativity.
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The time-delay effect is a small delay in the return of a light signal
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sent through the curved space-time near the Sun to a planet or spacecraft
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on the far side of the Sun and back to Earth. For a ray that grazes the
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solar surface, the delay amounts to 200 millionths of a second. Since 1964,
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a systematic program of radar ranging to the planets Mercury and Venus, to
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the spacecraft Mariners 6, 7, and 9, and to the Viking orbiters and landers
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on Mars has been able to confirm this prediction to better than half of 1
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percent.
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Another of the early successes of general relativity was its ability to
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account for the puzzle of Mercury's orbit. After the perturbing effects of
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the other planets on Mercury's orbit were taken into account, an
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unexplained shift remained in the direction of its perihelion (point of
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closest approach to the Sun) of 43 seconds of arc per century; the shift
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had confounded astronomers of the late 19th century. General relativity
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explained it as a natural effect of the motion of Mercury in the curved
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space-time around the Sun. Recent radar measurements of Mercury's motion
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have confirmed this agreement to about half of 1 percent.
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The Nordtvedt effect is one that does not occur in general relativity but
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is predicted by many alternative metric theories of gravity, including the
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Brans-Dicke theory. It is a possible violation of the equality of
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acceleration of massive bodies that are bound by gravitation, such as
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planets or stars. The existence of such an effect would not violate the
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weak equivalence principle that was used as a foundation for curved
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space-time, as that principle applies only to modest-sized objects whose
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internal gravitational binding is negligible. One of the remarkable
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properties of general relativity is that it satisfies EEP for all types of
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bodies. If the Nordtvedt effect were to occur, then the Earth and Moon
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would be attracted by the Sun with slightly different accelerations,
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resulting in a small perturbation in the lunar orbit that could be detected
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by lunar laser ranging, a technique of measuring the distance to the Moon
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using laser pulses reflected from arrays of mirrors deposited there by
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Apollo astronauts. In data taken between 1969 and 1976, no such
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perturbation was detected, down to a precision of 30 cm (1 ft), in complete
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agreement with the zero prediction of general relativity and in
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disagreement with the prediction of the Brans-Dicke theory.
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A number of secondary tests of more subtle gravitational effects have
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also been performed during the last decade. General relativity has passed
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every one, while many of its competitors have failed. Continuing to test
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general relativity is important, in order to strengthen confidence in its
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use as a tool for analyzing many of the newly discovered phenomena in
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astronomy and astrophysics.
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Cosmology
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One of the first astronomical applications of general relativity was in
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the area of cosmology. The theory predicts that the universe could be
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expanding from an initially condensed state, a process known as the big
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bang. Despite many challenges (including the popularity during the 1950s
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of the steady-state theory), the big bang is now accepted as the standard
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model of the universe. Three important pieces of evidence, accumulated
|
||
mainly since 1960, support this conclusion: (1) more precise measurements
|
||
of the universe's expansion rate, first measured by Edwin Hubble in 1929,
|
||
indicating that the big bang occurred between 10 and 20 billion years ago;
|
||
(2) the discovery in 1965 of the 3K (3 degrees above absolute zero)
|
||
microwave background radiation, a uniform "sea" of electromagnetic
|
||
radiation left over from the earlier hot phase of the universe (700,000
|
||
years after the big bang); and (3) the realization that the observed cosmic
|
||
abundance of helium (20 to 30 percent by weight) is necessarily produced in
|
||
the conditions of the big bang. One aspect of the model that is still
|
||
uncertain is whether the universe will continue to expand indefinitely or
|
||
whether it will slow down and eventually recollapse to a "big crunch."
|
||
Astronomical observations may yield an answer.
|
||
|
||
Another important application of general relativity is to the theory of
|
||
neutron stars, bodies that have been so compressed by gravitational forces
|
||
that their density is comparable to that within the atomic nucleus, and
|
||
their composition is primarily neutrons. (A neutron star whose mass equals
|
||
that of the Sun has a radius of only 10 km/6 mi.) They are thought to occur
|
||
as a by-product of such violent events as supernovae and other
|
||
gravitational implosions of stars. Pulsars, first discovered in 1967, are
|
||
generally believed to be rapidly spinning neutron stars. Pulsars are
|
||
objects that emit pulses of radio waves at regular intervals, ranging from
|
||
about 30 milliseconds to 3 seconds; as of 1979, 200 have been discovered.
|
||
According to one model, the neutron star acts as a lighthouse, emitting a
|
||
narrow beam from its surface that sweeps by an observer's telescope once
|
||
each rotation period.
|
||
|
||
One of the most exotic predictions of general relativity is the black
|
||
hole. Implosions of extremely massive stars can proceed beyond the neutron
|
||
star configuration. As the matter continues to implode, it crosses an
|
||
imaginary spherical surface known as the event horizon, located at a radius
|
||
given by 2MG/cc, where M is the mass that has imploded and G is Newton's
|
||
constant of gravitation; for one solar mass, this radius is about 3 km (1.9
|
||
mi). Once inside the event horizon, nothing--not even light--can escape.
|
||
The exterior space-time geometry of the black hole is described by the
|
||
Schwarzschild solution of the field equations if it has no rotation, and by
|
||
the Kerr solution if it rotates (solutions discovered respectively in 1916
|
||
by Karl Schwarzschild and in 1963 by R. Kerr). Rather strong evidence now
|
||
exists that the companion of the star denoted HDE 226868 in the
|
||
constellation Cygnus is a black hole. According to the most favored model,
|
||
gas from the atmosphere of HDE 226868 is stripped off by the gravitational
|
||
field of the hole, heats up as it falls toward the hole, and emits copious
|
||
amounts of X rays just before plunging across the event horizon. The X rays
|
||
from this source, called Cygnus X-1, were detected in 1971 by a telescope
|
||
on a satellite called Uhuru. Some theorists have speculated that
|
||
supermassive black holes may exist at the centers of some clusters of stars
|
||
(with masses of 1 thousand solar masses) and of some galaxies (with masses
|
||
of 1 million to 1 billion solar masses), including perhaps our own.
|
||
|
||
One prediction of general relativity has not yet been verified:
|
||
gravitational radiation, a wave of gravitational force that travels at the
|
||
speed of light, transports energy, and induces relative motion between
|
||
pairs of particles in its path or produces strains in bulk objects.
|
||
Astrophysicists believe that it should be emitted by dynamic sources such
|
||
as supernovae, double-star systems, and black-hole formations and
|
||
collisions. Although experiments around 1970 using 1.5-ton aluminum
|
||
cylinders fitted with strain gauges were thought to have detected it,
|
||
subsequent experiments by other groups did not confirm the detection. A
|
||
worldwide effort is now in progress to build gravitational radiation
|
||
antennas, not only to detect this phenomenon but also, ultimately, to make
|
||
use of it as a new window on the universe.
|
||
|
||
Recently, indirect evidence for the existence of gravitational radiation
|
||
has been discovered in a system known as a binary pulsar, a pulsar in orbit
|
||
around a companion star. Careful measurements, by radio telescopes, of the
|
||
motion of the pulsar have shown that the orbit is losing energy and is
|
||
decaying at just the rate to be expected from the loss of energy by means
|
||
of emission of gravitational waves by the system. CLIFFORD M. WILL
|
||
|
||
Bibliography
|
||
|
||
Barnett, Lincoln, The Universe and Dr. Einstein, rev. ed. (1968)
|
||
|
||
Born,Max, Einstein's Theory of Relativity, rev. ed. (1962)
|
||
|
||
Einstein, Albert, The Meaning of Relativity, 5th ed. (1956)
|
||
|
||
Gardner, Martin, Relativity for the Millions (1962)
|
||
|
||
Reichenbach, Hans, The Philosophy of Space and Time, trans. by
|
||
Maria Reichenbach (1958)
|
||
|
||
Russell, Bertrand, The A B C of Relativity, 3d ed. (1969)
|
||
|
||
Struble, Mitch, The Web of Space-Time: A Step by Step Exploration
|
||
of Relativity (1973)
|
||
|
||
Taylor, E. F., and Wheeler, J. A., Spacetime Physics (1966)
|
||
|
||
Weinberg, Steven, The First Three Minutes (1977).
|
||
|
||
See also - CLOCK PARADOX; SPACE-TIME CONTINUUM; WORLD LINE.
|
||
|
||
|
||
|