0 Members and 1 Guest are viewing this topic.

QuoteWhat you're trying to do is extend its meaning to cases which it simply isn't intended to cover: i.e. those cases where you add c to (or subtract c from) the speed of other objects moving through your frame where you will then necessarily produce values that aren't c.Albert Einstein (1879–1955). Relativity: The Special and General Theory. 1920.http://www.bartleby.com/173/6.htmlSection VI. The Theorem of the Addition of Velocities Employed in Classical MechanicsThere is only one paragraph.This is what Einstein said:“We shall see later that this result, which expresses the theorem of the addition of velocities employed in classical mechanics, cannot be maintained; in other words, the law that we have just written down does not hold in reality. For the time being, however, we shall assume its correctness.”

What you're trying to do is extend its meaning to cases which it simply isn't intended to cover: i.e. those cases where you add c to (or subtract c from) the speed of other objects moving through your frame where you will then necessarily produce values that aren't c.

http://www.bartleby.com/173/14.htmlXIV. The Heuristic Value of the Theory of RelativityParagraph 1This is what Einstein said:“Experience has led to the conviction that, on the one hand, the principle of relativity holds true, and that on the other hand the velocity of transmission of light in vacuo has to be considered equal to a constant c. By uniting these two postulates we obtained the law of transformation for the rectangular co-ordinates x, y, z and the time t of the events which constitute the processes of nature. In this connection we did not obtain the Galilei transformation, but, differing from classical mechanics, the Lorentz transformation.”

http://www.bartleby.com/173/11.htmlXI. The Lorentz TransformationParagraph 2This is what Einstein said:“In other words: Can we conceive of a relation between place and time of the individual events relative to both reference-bodies, such that every ray of light possesses the velocity of transmission c relative to the embankment and relative to the train? This question leads to a quite definite positive answer, and to a perfectly definite transformation law for the space-time magnitudes of an event when changing over from one body of reference to another.”

Do you disagree?

Perhaps you can show me, though I imagine that if you aren't getting the right numbers out of it you can't be applying it correctly either

http://www.bartleby.com/173/11.htmlXI. The Lorentz TransformationXII. The Behaviour of Measuring-Rods and Clocks in MotionHere Einstein gives all you need to know.

A light-signal is sent along the positive x-axis, and this light-stimulus advances in accordance with the equationx = ct,i.e. with the velocity c. According to the equations of the Lorentz transformation, this simple relation between x and t involves a relation between x' and t'. In point of fact, if we substitute for x the value ct in the first and fourth equations of the Lorentz transformation, we obtain:

from which, by division, the expressionx' = ct'immediately follows. If referred to the system K', the propagation of light takes place according to this equation. We thus see that the velocity of transmission relative to the reference-body K' is also equal to c. The same result is obtained for rays of light advancing in any other direction whatsoever. Of course this is not surprising, since the equations of the Lorentz transformation were derived conformably to this point of view.

The reason I am not getting the same numbers is because I strongly disagree.

The Theory of Special Relativity only addresses length contraction of rigid bodies in the direction of motion and not the light and the consequences to light in the light paths delineated by those contracted lengths which is part and parcel of the Michelson Morley experiment.