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The variable speed of light taught by Einstein even as late as 1920 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://math.ucr.edu/home/baez/physic..._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." Indeed, some Einsteinians are more blasphemous than antirelativists and mercilessly humiliate Divine Albert: http://www.oapt.ca/newsletter/2004-0...Searchable.pdf Richard Epp: "One may imagine the photon losing energy as it climbs against the Earth's gravitational field much like a rock thrown upward loses kinetic energy as it slows down, the main difference being that the photon does not slow down; it always moves at the speed of light." http://www.amazon.com/Brief-History-.../dp/0553380168 Stephen Hawking, A Brief History of Time, Chapter 6: "A cannonball fired upward from the earth will be slowed down by gravity and will eventually stop and fall back; a photon, however, must continue upward at a constant speed..." http://www.amazon.com/Why-Does-mc2-S.../dp/0306817586 Brian Cox, Jeff Forshaw, p. 236: "If the light falls in strict accord with the principle of equivalence, then, as it falls, its energy should increase by exactly the same fraction that it increases for any other thing we could imagine dropping. We need to know what happens to the light as it gains energy. In other words, what can Pound and Rebka expect to see at the bottom of their laboratory when the dropped light arrives? There is only one way for the light to increase its energy. We know that it cannot speed up, because it is already traveling at the universal speed limit, but it can increase its frequency." Other, more naive, Einsteinians remain faithful to Divine Albert's original teaching: http://www.pitt.edu/~jdnorton/teachi...way/index.html John Norton: "In 1907, Einstein had also concluded that the speed of light, and not just its direction, would be affected by the gravitational field." http://sethi.lamar.edu/bahrim-cristi...t-lens_PPT.pdf Dr. Cristian Bahrim: "If we accept the principle of equivalence, we must also accept that light falls in a gravitational field with the same acceleration as material bodies." http://www.youtube.com/watch?v=FJ2SVPahBzg "The light is perceived to be falling in a gravitational field just like a mechanical object would. (...) 07:56 : (c+dc)/c = 1+(g/c^2)dh [as predicted by Newton's emission theory of light]" http://www.wfu.edu/~brehme/space.htm Robert W. Brehme: "Light falls in a gravitational field just as do material objects." Why is it so important for less naive Einsteinians to go against the Divine Teaching and proclaim that the speed of light is constant in a gravitational field? Because they know that, if the speed of light varies with the gravitational potential, then, in gravitation-free space, a moving observer will find that this speed varies with his speed, in violation of special relativity: http://galileo.phys.virginia.edu/cla...elativity.html Michael Fowler, University of Virginia: "What happens if we shine the pulse of light vertically down inside a freely falling elevator, from a laser in the center of the ceiling to a point in the center of the floor? Let us suppose the flash of light leaves the ceiling at the instant the elevator is released into free fall. If the elevator has height h, it takes time h/c to reach the floor. This means the floor is moving downwards at speed gh/c when the light hits. Question: Will an observer on the floor of the elevator see the light as Doppler shifted? The answer has to be no, because inside the elevator, by the Equivalence Principle, conditions are identical to those in an inertial frame with no fields present. There is nothing to change the frequency of the light. This implies, however, that to an outside observer, stationary in the earth's gravitational field, the frequency of the light will change. This is because he will agree with the elevator observer on what was the initial frequency f of the light as it left the laser in the ceiling (the elevator was at rest relative to the earth at that moment) so if the elevator operator maintains the light had the same frequency f as it hit the elevator floor, which is moving at gh/c relative to the earth at that instant, the earth observer will say the light has frequency f(1 + v/c) = f(1+gh/c^2), using the Doppler formula for very low speeds." Substituting f=c/L (L is the wavelength) into Fowler's equation gives: f' = f(1+v/c) = f(1+gh/c^2) = (c+v)/L = c(1+gh/c^2)/L = c'/L where f' is the frequency measured by both the observer "stationary in the earth's gravitational field" and an equivalent observer who, in gravitation-free space, moves with speed v=gh/c towards the emitter. Accordingly, c'=c+v=c(1+gh/c^2) is the speed of light relative to those two observers.. Clearly the frequency shift (measured in the Pound-Rebka experiment) confirms the variable speed of light predicted by Newton's emission theory of light. Pentcho Valev |
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