By Moses Fayngold
ISBN-10: 3527403442
ISBN-13: 9783527403448
ISBN-10: 3527622438
ISBN-13: 9783527622436
Whereas the idea of unique relativity is frequently linked to the assumption of touring swifter than mild, this publication indicates that during a majority of these circumstances refined forces of nature conspire to avoid those motions being harnessed to ship signs speedier than the rate of sunshine. the writer tackles those themes either conceptually, with minimum or no arithmetic, and quantitatively, employing quite a few illustrations to elucidate the dialogue. the result's a pleasure to learn for either scientists accustomed to the topic and laypeople wishing to appreciate anything of certain relativity.
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Additional resources for Special Relativity and Motions Faster Than Light
Sample text
It follows that the simultaneity of the two given events at A and B depends upon the definition of simultaneity of another pair of events (the starts of clocks A and B). Since a concept cannot be defined in terms of itself, it is necessary to find some other definition. The concept of simultaneity for spatially separated events (and thereby the mere idea of space “at a given moment“) can only have a clear physical meaning (that is, be based on a realizable experimental procedure) if there exists a universal means to overcome the disconnection of events at different places.
The 100 km length that we have mentioned is the proper thickness of the atmosphere. In the system of m-mesons moving towards the Earth, both the Earth and its atmosphere are flattened owing to the length contraction. The atmosphere’s thickness of 100 km is contracted to about 600 m – just enough to pass by the observer in as small a time as 10–6 s! Thus, the entire picture of the process becomes intrinsically consistent. Time and space transform in such a way that even though different inertial observers will measure different values for these quantities, they all register the same result: a m-meson is created in the upper layers of the atmosphere and decays at the sea level or even in the depths of the ocean.
7 The relativity of simultaneity synchronized in this system using the light signals according to Einstein’s procedure. In the final result, we have two linear sets of identical clocks synchronized in their respective systems and moving relative to one another at a speed V. Let us define the initial moment so that when the origins of both systems coincide (x = x' = 0), the corresponding local clocks there would read the same time t = t' = 0. Consider other points of space in system K at this moment.