Article View: sci.physics.relativity
Article #6589Re: THE MISTAKEN COSMOLOGY
From: Pentcho Valev
Date: Sat, 23 May 2009 06:29
Date: Sat, 23 May 2009 06:29
139 lines
10198 bytes
10198 bytes
Einsteinians easily admit that either there is a flaw in Divine Albert's Divine Theory or scientists must deal with someting called dark energy which is both exotic and idiotic. However, istead of verifying the foundations of Divine Albert's Divine Theory (e.g. it could be an INCONSISTENCY harbouring statements that the speed of light is constant, that the speed of light is variable and obeys Einstein's 1911 equation c'=c(1+V/c^2) given by Newton's emission theory of light, that the speed of light is even more variable and obeys Einstein's 1915 equation c'=c(1+2V/c^2), etc), Einsteinians prefer to waste taxpayers' money (the only thing they have been doing well for the last 100 years): http://meetings.aps.org/Meeting/MAR09/Event/101370 Larry Gladney (Department of Physics and Astronomy, University of Pennsylvania): "The discovery of the acceleration of the expansion of the universe in 1998 represents perhaps the most profound challenge to our current understanding of physics and astronomy. The observation of acceleration requires either that more than 70% of the contents of the universe be an exotic form of energy (the so-called "dark energy'') or that there is a flaw in general relativity. The failure of present theories to convincingly explain the effect leads many experts to expect that elucidating the cause of the expansion will lead to fundamental breakthroughs that impact cosmology, astrophysics, and particle physics. The NASA/DOE Joint Dark Energy Mission (JDEM) will be the first of the Beyond Einstein probes. This mission will determine whether the acceleration of the expansion of the universe has varied over time in an attempt to determine the equation of state for dark energy or whether predictions from general relativity fail to adequately explain the acceleration. This talk will present the rationale for a space-based study of dark energy and the techniques likely to be used as part of JDEM." http://www.astronomynotes.com/relativity/s4.htm "Prediction: light escaping from a large mass should lose energy---the wavelength must increase since the speed of light is constant. Stronger surface gravity produces a greater increase in the wavelength. This is a consequence of time dilation. Suppose person A on the massive object decides to send light of a specific frequency f to person B all of the time. So every second, f wave crests leave person A. The same wave crests are received by person B in an interval of time interval of (1+z) seconds. He receives the waves at a frequency of f/(1+z). Remember that the speed of light c = (the frequency f) (the wavelength L). If the frequency is reduced by (1+z) times, the wavelength must INcrease by (1+z) times: L_atB = (1+z) L_atA. In the doppler effect, this lengthening of the wavelength is called a redshift. For gravity, the effect is called a gravitational redshift." http://helios.gsfc.nasa.gov/qa_sp_gr.html "Is light affected by gravity? If so, how can the speed of light be constant? Wouldn't the light coming off of the Sun be slower than the light we make here? If not, why doesn't light escape a black hole? Yes, light is affected by gravity, but not in its speed. General Relativity (our best guess as to how the Universe works) gives two effects of gravity on light. It can bend light (which includes effects such as gravitational lensing), and it can change the energy of light. But it changes the energy by shifting the frequency of the light (gravitational redshift) not by changing light speed. Gravity bends light by warping space so that what the light beam sees as "straight" is not straight to an outside observer. The speed of light is still constant." Dr. Eric Christian http://www.physlink.com/Education/AskExperts/ae13.cfm "So, it is absolutely true that the speed of light is not constant in a gravitational field [which, by the equivalence principle, applies as well to accelerating (non-inertial) frames of reference]. If this were not so, there would be no bending of light by the gravitational field of stars....Indeed, this is exactly how Einstein did the calculation in: 'On the Influence of Gravitation on the Propagation of Light,' Annalen der Physik, 35, 1911. which predated the full formal development of general relativity by about four years. This paper is widely available in English. You can find a copy beginning on page 99 of the Dover book 'The Principle of Relativity.' You will find in section 3 of that paper, Einstein's derivation of the (variable) speed of light in a gravitational potential, eqn (3). The result is, c' = c0 ( 1 + V / c^2 ) where V is the gravitational potential relative to the point where the speed of light c0 is measured." http://math.ucr.edu/home/baez/physics/Relativity/SpeedOfLight/speed_of_light.html Steve Carlip: "Einstein went on to discover a more general theory of relativity which explained gravity in terms of curved spacetime, and he talked about the speed of light changing in this new theory. In the 1920 book "Relativity: the special and general theory" he wrote: ". . . according to the general theory of relativity, the law of the constancy of the velocity of light in vacuo, which constitutes one of the two fundamental assumptions in the special theory of relativity [. . .] cannot claim any unlimited validity. A curvature of rays of light can only take place when the velocity of propagation of light varies with position." Since Einstein talks of velocity (a vector quantity: speed with direction) rather than speed alone, it is not clear that he meant the speed will change, but the reference to special relativity suggests that he did mean so. THIS INTERPRETATION IS PERFECTLY VALID AND MAKES GOOD PHYSICAL SENSE, BUT A MORE MODERN INTERPRETATION IS THAT THE SPEED OF LIGHT IS CONSTANT IN GENERAL RELATIVITY." http://www.mathpages.com/rr/s6-01/6-01.htm "In geometrical units we define c_0 = 1, so Einstein's 1911 formula can be written simply as c=1+phi. However, this formula for the speed of light (not to mention this whole approach to gravity) turned out to be incorrect, as Einstein realized during the years leading up to 1915 and the completion of the general theory. In fact, the general theory of relativity doesn't give any equation for the speed of light at a particular location, because the effect of gravity cannot be represented by a simple scalar field of c values. Instead, the "speed of light" at a each point depends on the direction of the light ray through that point, as well as on the choice of coordinate systems, so we can't generally talk about the value of c at a given point in a non- vanishing gravitational field. However, if we consider just radial light rays near a spherically symmetrical (and non- rotating) mass, and if we agree to use a specific set of coordinates, namely those in which the metric coefficients are independent of t, then we can read a formula analogous to Einstein's 1911 formula directly from the Schwarzschild metric. (...) In the Newtonian limit the classical gravitational potential at a distance r from mass m is phi=-m/r, so if we let c_r = dr/dt denote the radial speed of light in Schwarzschild coordinates, we have c_r =1+2phi, which corresponds to Einstein's 1911 equation, except that we have a factor of 2 instead of 1 on the potential term." http://www.speed-light.info/speed_of_light_variable.htm "Einstein wrote this paper in 1911 in German (download from: http://www.physik.uni-augsburg.de/annalen/history/einstein-papers/1911_35_898-908.pdf). It predated the full formal development of general relativity by about four years. You can find an English translation of this paper in the Dover book 'The Principle of Relativity' beginning on page 99; you will find in section 3 of that paper Einstein's derivation of the variable speed of light in a gravitational potential, eqn (3). The result is: c'=c0(1+phi/c^2) where phi is the gravitational potential relative to the point where the speed of light co is measured......You can find a more sophisticated derivation later by Einstein (1955) from the full theory of general relativity in the weak field approximation....For the 1955 results but not in coordinates see page 93, eqn (6.28): c(r)=[1+2phi(r)/c^2]c. Namely the 1955 approximation shows a variation in km/sec twice as much as first predicted in 1911." Pentcho Valev pvalev@yahoo.com
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