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Topic: Galilean Newtonian relativity

	Luminiferous aether - Wikipedia, the free encyclopedia
		In the late 19th century the luminiferous aether ("light-bearing aether"), or ether, was a substance postulated to be the medium for the propagation of light.
		Einstein's later general theory of relativity (1916) again attributed tangible physical properties to space in order to agree with Ernst Mach's idea that all forms of motion should be "relative", and the general theory arguably implemented its gravitational field as an updated, relativistic, nonparticulate aether (i.e.
		This effect is basic to all Newtonian dynamics, which says that everything from sound to the trajectory of a thrown baseball should all remain the same in the aircraft as sitting "still" on the Earth.
	en.wikipedia.org /wiki/Luminiferous_aether (3198 words)

	Encyclopedia: Spacetime
		In relativity, a four-vector is a vector in a four-dimensional real vector space, whose components transform like the space and time coordinates (ct, x, y, z) under spatial rotations and boosts (a change by a constant velocity to another inertial reference frame).
		In general relativity, it is assumed that spacetime is curved by the presence of matter (energy), this curvature being represented by the Riemann tensor.
		Relativity In physics and mathematics, Minkowski space (or Minkowski spacetime) is the mathematical setting in which Einsteins theory of special relativity is most conveniently formulated.
	www.nationmaster.com /encyclopedia/Spacetime (3440 words)

	Principle of relativity - Wikipedia, the free encyclopedia
		In Galilean relativity, reference frames are related to each other in an intuitive way: to transform the velocity of an object from one frame to another, the vector representing the velocity of the object is added to the vector representing the velocity difference between the two reference frames.
		If one assumes that both the Maxwell equations are valid, and that Galilean transformation is the appropriate transformation, then it should be possible to measure velocity absolutely.
		General relativity unifies the description of gravitation and the description of inertia.
	en.wikipedia.org /wiki/Galilean-Newtonian_relativity (880 words)

	Luminiferous aether
		However, the assumption of such a fixed reference frame were contradicted by the Michelson-Morley experiment in 1887, which was unable to detect the effect that motion of the Earth through the postulated aether should have had on the speed of light.
		This experiment led to Albert Einstein 's theory of special relativity, which assumes that the speed of light is constant in all reference frames.
		This was initially interpreted to mean that the medium drags the ether along, with a portion of the medium's velocity, but that understanding was rejected after Veltmann demonstrated that the index ''n'' in Fresnel's formula depended upon the wavelength of light (so that the ether could not be moving at a wavelength-independent speed).
	www.nebulasearch.com /encyclopedia/article/Luminiferous_aether.html (1027 words)

	space-time (Site not responding. Last check: 2007-10-20)
		In special relativity and general relativity, time and three-dimensional space are treated together as a single four-dimensional manifold called spacetime (alternatively, space-time).
		Just as the x, y, z coordinates of a point depend on the axes one is using, so distances and time intervals, invariant in Newtonian physics, may depend on the reference frame of an observer, in relativistic physics.
		The central lesson of general relativity is that spacetime cannot be a fixed background, but is rather a network of evolving relationships.
	www.yourencyclopedia.net /Space-time.html (617 words)

	Classical mechanics - Wikipedia, the free encyclopedia
		The initial stage in the development of classical mechanics is often referred to as Newtonian mechanics, and is characterized by the mathematical methods invented by Newton himself, in parallel with Leibniz, and others.
		For example, the electrons used by Clinton Davisson and Lester Germer in 1927, accelerated by 54 volts, had a wave length of 0.167 nm., which was long enough to exhibit a single diffraction side lobe when reflecting from the face of a nickel crystal with atomic spacing of 0.215 nm.
		In pre-Einstein relativity (known as Galilean relativity), time is considered an absolute in all reference frames.
	www.incywincy.com /default?catid=209353&cached=en.wikipedia.org/wiki/Classical_mechanics (2464 words)

	Encyclopedia: Luminiferous aether
		Later theories, including Einstein's Theory of Relativity, suggested that an aether did not have to exist, and today the concept is considered "quaint".
		Einstein's later general theory of relativity (1916) again attributed tangible physical properties to spacetime in order to agree with Ernst Mach's idea that all forms of motion should be "relative", and the general theory arguably implemented its gravitational field as an updated, relativistic, nonparticulate aether (i.e.
		But by this time, people were increasingly associating the term "aether theory" with discredited and superseded theories predating special relativity, and modern theorists now tend to prefer talking about their work in terms of the expected properties of "the metric", "space", or "vacuum", rather than those of "the aether" or "the medium".
	www.nationmaster.com /encyclopedia/Luminiferous-aether (5183 words)

	newtonian relativity (Site not responding. Last check: 2007-10-20)
		Somewhat more particularly, the measurements an observer makes in his frame of reference of an important event are related in a particular way to those made by another observer.
		The measurement of time was assumed to be the same for all observers, but the measurements of distance made by an observer differ from those by another depending on the relative velocity between the observers’ frames of reference.
		General Relativity extended the Principle of Relativity to accelerated frames of reference in a gravity field.
	www.yourencyclopedia.net /Newtonian_relativity.html (314 words)

	Space and Time: Inertial Frames
		Special relativity might be said to have applied the relativity principle of Newtonian mechanics to Maxwell's electrodynamics, by eliminating the privileged status of the rest-frame of the ether and admitting that the velocity of light is independent of the motion of the source.
		The general theory of relativity was intended to be a generally covariant account of spacetime, and its general covariance was intended to express the general relativity of motion.
		For the free-fall trajectories exhibit relative accelerations, and the relative acceleration of geodesics is a defining characteristic of curved geometry.
	setis.library.usyd.edu.au /stanford/entries/spacetime-iframes (8686 words)

	Relativity Tutorial
		According to relativity, this must be re-expressed as "The magnitude of the relative velocity between your car and the pavement must be less than 70 mph".
		Special relativity was constructed to satisfy Maxwell's equations, which replaced the inverse square law electrostatic force by a set of equations describing the electromagnetic field.
		Relativity also leads to interesting objects such as fl holes, but these are not very relevant to cosmology.
	www.astro.ucla.edu /~wright/relatvty.htm (3935 words)

	Spacetime - Wikipedia, the free encyclopedia
		Space-times are the arenas in which all physical events take place — for example, the motion of planets around the Sun may be described in a particular type of space-time, or the motion of light around a rotating star may be described in another type of space-time.
		Secondly, for a manifold, the property of connectedness and path-connectedness are equivalent and one requires the existence of paths (in particular, geodesics) in the spacetime to represent the motion of particles and radiation.
		This property, allied with the smoothness of the spacetime, gives rise to a (smooth) linear connection, an important structure in general relativity.
	www.wikipedia.org /wiki/Space-time (1708 words)

	Relativity Concepts for Physics @ FHS
		Clocks moving relative to an observer are measured by the observer as running more slowly than clocks at rest.
		Objects moving relative to an observer are measured by the observer as shrinking along the axis of motion.
		His General Theory of Relativity is the extension of relativity to non-inertial frames of reference.
	www.fayar.net /east/teacher.web/science/reif/Concepts/RelatCon.html (803 words)

	spacetime (Site not responding. Last check: 2007-10-20)
		Just as the x, y, z coordinates of a point backup now on the axes one is using, so distances and time intervals, invariant in Newtonian physics, may depend on the reference frame of an observer, in relativistic physics.
		This is known as Minkowski space, and is the usual geometric setting for special relativity.
		In contrast, General Relativity says that the underlying manifold will not be flat, if gravity is present, and thus it calls for the use of spacetime rather than Minkowski space.
	www.yourencyclopedia.net /Spacetime.html (626 words)

	B. Newtonian Micheslon-Morley vs SR-cult fraud and corruption (Rev A)
		The transformation law for the differential operators under the Galilean transformation is given by: d/dt' = d/dt + v d/dx, d/dx' = d/dx, d/dy' = d/dy, d/dz' = d/dz.
		Homogeneous equations are invariant under the Galilean Transformation, and inhomogeneous equations are invariant under the Galilean Transformation, but Maxwell's Equations as a whole are NOT invariant under the Galilean Transformation, since the transformation laws required for the EM field for the two cases are inconsistent with each other.
		It is typically General Relativity or items about the energy and mass of moving objects that are being waved at you, and such items are completely irrelevant to coordinate transformations and invariance..
	www.forum-one.org /new-6445316-4346.html (2309 words)

	Spacetime Article, Spacetime Information (Site not responding. Last check: 2007-10-20)
		In special relativity and general relativity, time and three-dimensional space are treated together as a singlefour-dimensional manifold called spacetime (alternatively,space-time).
		In contrast, General Relativity says that the underlying manifold will not be flat, if gravity is present, and thus it callsfor the use of spacetime rather than Minkowski space.
		This is Galilean-Newtonian relativity, and the coordinatesystems are related by Galilean transformations.However, since these preserve spatial and temporal distances independently, such a spacetime can be decomposed unarbitrarily,which is not possible in the general case.
	www.anoca.org /relativity/space/spacetime.html (606 words)

	Galilean-Newtonian relativity (Site not responding. Last check: 2007-10-20)
		To Understand Relativity The fundamentals of Relativity (light speed constancy, time dilation and length contraction) are not mysteries.
		A Galilean Electromagnetic Synthesis A Galilean invariant derivation of the electromagnetic equations, and the unification of E and B. http://www.cswnet.com/~rper
		Einstein's Special Theory of Relativity A quick guide to Einstein's Special Theory of Relativity, with reference to the relativity of simultaneity, from the perspective of someoone who doesn't agree with special relativity
	www.serebella.com /encyclopedia/article-Galilean-Newtonian_relativity.html (318 words)

	spacetime in TutorGig Encyclopedia
		Spacetime is vital to the theories of special relativity and general relativity.
		Space-time continua are the arenas in which all physical events take place — for example, the motion of planets around the Sun may be described in a particular type of space-time, or the motion of light around a rotating star may be described in another type of space-time.
		In contrast, general relativity stipulates that the underlying manifold will not be flat if gravity is present, and thus calls for the use of more general (curved) spacetimes.
	www.tutorgig.com /ed/spacetime (1074 words)

	Classical mechanics
		It is often referred to as "Newtonian mechanics" after Newton and his laws of motion.
		In particular, classical nonrelativistic electrodynamics predicts that the speed of light is a constant relative to an aether medium, a prediction that is difficult to reconcile with classical mechanics and which led to the development of special relativity.
		When combined with classical thermodynamics, classical mechanics leads to the Gibbs paradox in which entropy is not a well-defined quantity and to the ultraviolet catastrophe in which a fl body is predicted to emit infinite amounts of energy.
	www.brainyencyclopedia.com /encyclopedia/c/cl/classical_mechanics_1.html (1775 words)

	Galilean Newtonian relativity (Site not responding. Last check: 2007-10-20)
		Somewhat more particularly, the measurements an observermakes in his frame of reference of an important event arerelated in a particular way to those made by another observer.
		The measurement of time was assumed to be the same for allobservers, but the measurements of distance made by an observer differ from those by another depending on the relative velocitybetween the observers' frames of reference.
		General relativity extended the principle of relativity toaccelerated frames of reference in a gravity field.
	www.therfcc.org /galilean-newtonian-relativity-38075.html (259 words)

	[No title]
		Einstein's Theory of Relativity, demonstrated that an aether did not have to exist, and today the concept is considered "quaint".
		Newton had assumed that light was made up of numerous small particles, in order to explain features such as its ability to travel in straight lines and reflect off surfaces.
		By applying the transformation to all frames of reference, he demonstrated that physics remained invariant as it had with the Galilean transformation, but that light was now invariant as well.
	en-cyclopedia.com /wiki/Luminiferous_aether (2074 words)

	Introduction to Special Relativity
		That is, the relative velocity of the two systems is directed along the x(and x') axes.
		This is "Newtonian relativity": all motion is relative.
		A relativity principle exists for mechanics, but not for electromagnetism; in electromagnetism there is a preferred inertial frame; that is, the ether frame.
	www.geocities.com /digitalspooq/physics/introtosp.html (1615 words)

	iqexpand.com (Site not responding. Last check: 2007-10-20)
		Classical mechanics is subdivided into statics (which models objects at rest), kinematics (which models objects in motion), and dynamics (which models objects subjected to forces).
		Newtonian Physics is the first in a six-volume series of introductory physics textbooks.
		Newtonian Physics From Uncyclopedia If we start with an old bit of andquot;seriousandquot; poetry (of dubious veracity depending on your beliefs), which can pass for an Executive Summary, the rest may seem funnier:...
	newtonian_physics.iqexpand.com (2095 words)

	Principle of relativity -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-20)
		Such a transformation is called a (Click link for more info and facts about Galilean transformation) Galilean transformation.
		Einstein saw that if one assumes that the (Click link for more info and facts about Lorentz transformations) Lorentz transformations are the appropriate transformations for transforming between inertial reference frames, then that constitutes a principle of relativity that is compatible with the Maxwell equations.
		When viewed from a sufficiently large distance the local deformation of space-time due to gravitation is recognizable and thus can be accounted for as gravitatioin in a description that is based on as much relevant data as possible.
	www.absoluteastronomy.com /encyclopedia/p/pr/principle_of_relativity.htm (734 words)

	Spacetime (Site not responding. Last check: 2007-10-20)
		A spacetime, in the theories of special relativity and general relativity, is time and three-dimensional space treated together as a single four-dimensional object.
		Spacetimes are the arenas in which all physical events take place — for example, the motion of planets around the Sun may be described in a particular type of spacetime, or the motion of light around a rotating star may be described in another type of spacetime.
		In general relativity, spacetime is assumed to be 'smooth' and 'continuous' (not just in the mathematical sense).
	www.worldhistory.com /wiki/s/spacetime.htm (1031 words)

	PHY 112: PHYSICS II - CHAPTER 26: Special Theory of Relativity
		2) observers, regardless of their relative velocity or the velocity of the source, must measure the same value for the speed of light in a vacuum.
		relativistic mass refers to the mass of an object, as measured by an observer, when the object is in motion relative to an observer.
		The total energy is expressed by the formula E=mc2 where m is the relative mass and c is the speed of light.
	faculty.coloradomtn.edu /jeschofnig/class/class_jeschof/phy2ch26.htm (433 words)

	Luminiferous aether (Site not responding. Last check: 2007-10-20)
		As this can only occur in one reference frame according to Newtonian physics (see Galilean-Newtonian relativity[?]), the aether was hypothesized as the absolute and unique frame of reference in which Maxwell's equations hold.
		Later it was regarded as the seat of all electromagnetic energy and attempts were made to describe matter in terms of vortices in this fluid.
		It appeared to be verified by Fresnel's determination that the velocity of light relative to the aether on passing through a medium of refractive index n and velocity v (in the same direction) is
	www.eurofreehost.com /lu/Luminiferous_aether.html (271 words)

	Relativity 1 (Site not responding. Last check: 2007-10-20)
		Since Maxwell himself believed the fields to be mechanical disturbances in a medium called the “æther”, it was natural to him that the frame in which the æther is at rest should be special.
		Since the M-M experiment involved measuring the speed of light waves moving in mutually perpendicular directions, its null result could be interpreted as showing that the observed speed of a light wave is independent of any motion of the source of the wave.
		Suppose the observer in O sets out to measure the length of a rod lying along the x-axis and at rest in O’; it is therefore moving at speed V along the x-axis relative to him.
	www.phy.duke.edu /Courses/100/lectures/Rel_1/Rel1.html (2276 words)

	Inertial Frame Of Reference (Site not responding. Last check: 2007-10-20)
		If you can find an inertial frame of reference for a given situation, then it can always be transformed by a change of coordinates into one in which the observers do not move at all.
		Inertial frames of reference appear prominently in both Newtonian relativity and Einstein's special theory of relativity.
		In Newtonian mechanics, any mass viewed from an inertial reference frame will appear either to be stationary or to be moving at constant speed in a straight line, if and only if the sum of forces acting upon that mass is zero.
	www.wikiverse.org /inertial-frame-of-reference (302 words)

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