Authors: Gary Osborn
The time shown by a moving clock depends on its history. The Lorentz transform does not distinguish between the history of an accelerated clock and a constant velocity clock. The history of the clock can be assimilated by integrating the first derivative of the Thomas precession from the time t=0. A definite integral is required because the unknown trajectory of the clock in the distant past affects its displayed time. The coordinates are spinning in the second frame of reference during the integration, but in the definite integral from time t=0 to time t the spin accumulates to a specific angle. The integral is equivalent to a Lorentz transform followed by a space rotation. A space rotation does not affect the invariant quantity r2 - c2 t2. The history of a jerked clock is different than that of an accelerated clock. The solution in that order is equivalent to a Lorentz transform followed by two consecutive space rotations in different directions. Similarly, there are three rotations in the ä solution.
Comments: 5 Pages.
Unique-IP document downloads: 16 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.