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Topic: Newtonian relativity

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Inertial frame of reference

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	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 (4024 words)

	One-map two-clock relativity, from physics/9611011
		This divergence between Newtonian and relativistic physics was one of the most remarkable discoveries of this century.
		When relativity is discussed at all, it often entails only a rather abstract introduction to Lorentz transforms, relegated to the back of a chapter (or the back of a book).
		Sears and Brehme, Introduction to the Theory of Relativity (Addison Wesley, 1968).
	www.umsl.edu /~fraundor/twoclock.html (1611 words)

	Spacetime
		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).
		The central lesson of general relativity is that spacetime cannot be a fixed background, but is rather a network of evolving relationships.
		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.nebulasearch.com /encyclopedia/article/Spacetime.html (618 words)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal
		A principle of relativity is a criterion for judging physical theories, stating that they are inadequate if they do not prescribe the exact same laws of physics in certain similar situations.
		He replaced the Galilean transformation with the Lorentz transformation in general, and required the speed of light in a vacuum to be the same for all observers, regardless of their motion or the motion of the source of the light.
		General relativity uses the mathematics of differential geometry and tensors in order to describe gravitation as an effect of the geometry of spacetime.
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=Galilean-Newtonian_relativity (1147 words)

	Encyclopedia :: encyclopedia : Inertial frame of reference (Site not responding. Last check: )
		Inertial frames of reference are relevant to Newtonian relativity and Einstein's special theory of relativity.
		However, the assumption of constant progression of proper time in all frames of reference is replaced by the assumption that the speed of light is constant, and that this is equally true for every inertial observer.
		In general relativity, the principle of inertia is replaced with the principle of geodesic motion, whereby objects move in a way dictated by the curvature of spacetime.
	www.hallencyclopedia.com /Inertial_frame_of_reference (594 words)

	9.2 Continued
		Relativity is the study of the relative motions of objects.
		In Newtonian Relativity, if a pulse of light were sent from one place to another, different observers would agree on the time that the journey took (since time is absolute), but would not always agree on how far the light travelled (since space is not absolute).
		is the velocity of the rod relative to the stationary observer.
	webs.mn.catholic.edu.au /physics/emery/hsc_space_continued.htm (6324 words)

	Space and Time: Inertial Frames (Stanford Encyclopedia of Philosophy)
		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.
	plato.stanford.edu /entries/spacetime-iframes (8695 words)

	Newtonian Relativity
		The incompatibility of Newtonian Relativity with classical electromagnetism implies that frames cannot be in relative motion.
		Firstly, it was suggested that the Earth drags the ether with it, in which case the Earth never moves relative to the ether.
		However, the ether nearer the Earth would be in motion relative to the ether further away, and light from the stars would be deflected.
	www.safalra.com /science/relativity/newtonian (743 words)

	Special Relativity
		Indeed, when two observers have a small relative velocity, their "hyperbolic triangles" for two events shall be virtually the same.
		And Newtonian observers, whose perceptions are not sensitive enough, will not see that those times and distances are minutely different.
		These relativity principles are a bit peculiar when it comes to adding or subtracting speeds.
	www.jupiterscientific.org /science/baeparts/specialrelativity.html (4821 words)

	General relativity
		General relativity is a theory of gravitation and to understand the background to the theory we have to look at how theories of gravitation developed.
		In 1907, two years after proposing the special theory of relativity, Einstein was preparing a review of special relativity when he suddenly wondered how Newtonian gravitation would have to be modified to fit in with special relativity.
		The final steps to the theory of general relativity were taken by Einstein and Hilbert at almost the same time.
	www-groups.dcs.st-and.ac.uk /~history/HistTopics/General_relativity.html (1995 words)

	Relativity
		Relativity is usually thought of as modern physics since it was developed at the start of the 20th century and could only be tested in the realm available to scientists by high technology.
		In Newtonian mechanics, quantities such as speed and distance may be transformed from one frame of reference to another, provided that the frames are in uniform motion (i.e.
		It is important to note that all the predictions of special relativity, length contraction, time dilation and the twin paradox, have been confirmed by direct experiments, mostly using sub-atomic particles in high energy accelerators.
	abyss.uoregon.edu /~js/21st_century_science/lectures/lec06.html (1462 words)

	The Field of All Fields
		Given the recognized limitations of special relativity, and considering how successfully it was generalized and extended in 1916, we may wonder why it's even necessary to continue carrying along the special theory as a conceptually distinct entity.
		The reluctance to discard the special theory as a separate theory may be due largely to the fact that it represents a simple and widely- applicable special case of the general theory, and it's convenient to have a name for this limiting case.
		The basic point is that although special relativity serves as the local limiting case of the general theory, it is not able to stand alone, because it cannot identify the applicability of its premises, which renders it incapable of yielding definite macroscopic conclusions about the physical world.
	www.mathpages.com /rr/s4-06/4-06.htm (2166 words)

	Relativity
		Relativity is usually thought of as modern physics since it was developed at the start of the 20th century and could only be tested in the realm available to scientists by high technology.
		In Newtonian mechanics, quantities such as speed and distance may be transformed from one frame of reference to another, provided that the frames are in uniform motion (i.e.
		It is important to note that all the predictions of special relativity, length contraction, time dilation and the twin paradox, have been confirmed by direct experiments, mostly using sub-atomic particles in high energy accelerators.
	zebu.uoregon.edu /~js/21st_century_science/lectures/lec06.html (1462 words)

	Classical mechanics Summary
		Newtonian physics is also a term understood to refer to the state of physics before the advent of the theory of relativity in the 1920s.
		Newtonian physics also fail to describe the physics of very small objects, such as electrons, atoms and elementary particles, which are accounted for by in quantum theory, also formulated in the 1920's.
		While the terms classical mechanics and Newtonian mechanics are usually considered equivalent, the conventional content of classical mechanics was created in the 19th century and differs considerably (particularly in its use of analytical mathematics) from the work of Newton.
	www.bookrags.com /Classical_mechanics (3563 words)

	April 17: special relativity, spacetime (Site not responding. Last check: )
		The key point to special relativity is that the speed of light (c=186,000 miles per sec) is constant in all frames of reference.
		Spacetime makes sense from special relativity since it was shown that both spatial coordinates and the time coordinate undergo the exact same transformation (Lorentz contraction) between one frame of reference and the next.
		The new theory of gravitation, the general theory of relativity, adopts this characteristic of the gravitational field as its foundation.
	blueox.uoregon.edu /~karen/astro123/lectures/lec08.html (879 words)

	Physics news Update 775
		Lorentz invariance says that the laws of physics are the same for an observer at rest on the Earth or one who is rotated through some angle or traveling at a constant speed relative to the observer at rest.
		Looking for a crack in the universe in the form of a very faint field pervading the Cosmos, one that exerts a force on electron spin, would mean the end of Lorentz invariance.
		In fact, he said that something strange was happening at a measurement scale of about 70 microns; the most likely explanation of this, he conceded, was an experimental artifact.
	www.aip.org /pnu/2006/split/775-1.html (389 words)

	General Relativity or Newtonian Tidal Effects?
		It would be very hard for me to conclude on the basis of DI Her alone that the place you should be looking for fault is in the fundamental gravity itself."[4] Of course, for Taylor, GR is an integral part of "fundamental gravity".
		Interesting Newtonian time dilation effects due to this decaying super-speed light were noted in the Summary with regard to Supernova 1987 and a galaxy 12 billion light-years distance from earth.
		General relativity can hardly be relied upon to predict the characteristics of the entire universe, if it can only predict orbital precession increments in the solar system, and then fails the test for binary stars.
	www.gsanctuary.com /general_relativity.html (4307 words)

	General Relativity: Einstein: Physics
		In Newtonian mechanics the notion of spacetime is unnecessary.
		In Newtonian physics, it was assumed that the universe went on forever and thus the attraction felt by any given star would be equally balanced on all sides.
		As we know from special relativity, the time it takes for a sequence of events to occur can be different from the point of view of different observers.
	www.ncsu.edu /felder-public/kenny/papers/gr1.html (7834 words)

	Orbits in Strongly Curved Spacetime
		Kepler's laws of planetary motion, grounded in Newton's theory of gravity, state that the orbit of a test particle around a massive object is an ellipse with one focus at the centre of the massive object.
		The summit on the left side of the curve is unique to General Relativity--in Newtonian gravitation the curve rises without bound as the radius decreases, approaching infinity at zero.
		That tiny discrepancy in the orbit of Mercury was actually the first evidence for what lay beyond Newtonian gravitation, the first step down a road that would lead to understanding fl holes, gravitational radiation, and the source of inertia, which remains a fertile ground for theoretical and experimental physics almost a century thereafter.
	www.fourmilab.ch /gravitation/orbits (2354 words)

	General relativity versus exotic dark matter - CERN Courier
		Determinations of the rotation speed of stars in galaxies (galactic rotation curves) based on the assumption that Newtonian gravity is a good approximation have led to the inference that a large amount of dark matter must be present - more than can be accounted for by non-luminous baryonic matter.
		Now F I Cooperstock and S Tieu of the University of Victoria have reworked the problem using general relativity in place of Newtonian gravity, and they find no need to assume the existence of a halo of exotic dark matter to fit the observed rotation curves.
		The success of Newtonian mechanics in situations like our solar system can be traced to the fact that in this case the planets are basically "test particles", which do not contribute significantly to the overall field.
	www.cerncourier.com /main/article/45/8/8 (259 words)

	[No title]
		General Relativity speaks of the deformation of spacetime in } response to the presence of matter.
		Newtonian physics are still } taught and still practiced when speaking of general motion.
		General Relativity does } predict that light will bend as it gets near a very massive object, like } a star) } } To make a long story short, General Relativity deals with the "force" of } gravity and therefore is usually applied to the largest and most massive } objects.
	www.netspace.org /~dmacks/pub/sci/superstrings (1721 words)

	Relativity vs. The Newtonian Universe
		Newtonian physics suggested that the velocity of light would be constant with respect to a fixed point in space.
		What they didn't realize was that the velocity of light is constant with respect to all observers, whether they are moving or not.
		In 1915, by applying relativity to Newtonian physics, Einstein derived the equations of general relativity which describe the relationships between gravity, the speed of light, mass, and other factors in regard to the universe as a whole.
	www.godandscience.org /slideshow/sld003.html (253 words)

	relativity
		Relative motion is the comparison of positions, velocities and accelerations as we move from one "frame of reference" to another.
		Newtonian physics holds that the only things to stay the same when moving between inertial frames of reference are acceleration and Newton's Laws.
		In Newtonian physics, all inertial frames - frames moving at a "constant velocity" - are the same and that an experiment carried out entirely in such a frame cannot tell the experimenter its absolute velocity, only its velocity compared to other inertial frames.
	www.launc.tased.edu.au /online/sciences/PHYSICS/sprel.htm (745 words)

	Modern Physics Special Relativity
		Since velocity is relative to what it is comparing, inertial reference frames are points from which momentum (hence, velocity) is measured.
		formulated the very first rule of classical relativity are all probably familiar with it: when two particles are moving in the same direction, the speed of one relative to the other is the difference between their velocities.
		When two particles are traveling in opposite directions, the relative speed is the sum of their velocities.
	library.thinkquest.org /C004707/sr.php3?Java=No (588 words)

	Special Theory of Relativity
		Although relativity and Newtonian laws say basically the same in conditions during everyday life, our increasingly sophisticated technology dictates a need to accurately measure the results of our experiments.
		The Theory of Relativity is one of the greatest achievements in science in the 20
		Today, relativity is still a topic that intrigues many people, because it is conceptually difficult yet mathematically simple and elegant.
	members.tripod.com /special_relativity/Introduction.htm (493 words)

	Special Relativity -- from Eric Weisstein's World of Physics
		In special relativity, time and space are not independent, so the time and space coordinates of a particle in one inertial reference frame (the "rest frame") is most conveniently represented by a so-called four-vector
		It is often incorrectly stated that special relativity does not correctly deal with accelerations and general relativity must be used when accelerations are involved.
		While general relativity does indeed describe the relationship between mass and gravitational acceleration, special relativity is perfectly adequate for dealing with relativistic kinematics.
	scienceworld.wolfram.com /physics/SpecialRelativity.html (761 words)

	Galilean relativity and Newtonian mechanics (from Einstein Light)
		Newtonian mechanics, including the aspects developed by Galileo and others, was at least as revolutionary as Einstein's theory.
		A universe in which objects spontaneously accelerated to large relative velocities would be a very dangerous place to live, mammals would not have evolved, and one of them would not be sitting here writing obscure footnotes.
		This is an example of the weak anthropic principle: if you find that the universe has laws and/or conditions that allow the existence of a being such as yourself, then you should not be surprised.
	www.phys.unsw.edu.au /einsteinlight/jw/module1_Galileo_and_Newton.htm (1430 words)

	Untitled (Site not responding. Last check: )
		moves at a velocity v relative to the stationary plane in the direction of motion of the moving plane.
		According to the Newtonian observer the moving plane moves at a velocity v relative to the Newtonian
		Newtonian observer, as were present in the first axis system.
	home.mn.rr.com /gbowen/gbowen.html (1477 words)

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