Brewster Angle and the Einstein Velocity Addition Theorem

1971 ◽  
Vol 39 (9) ◽  
pp. 1079-1084 ◽  
Author(s):  
R. G. Newburgh ◽  
T. E. Phipps
Author(s):  
David M. Wittman

We now pivot from relationships between frames to look at the effect of motion on communications between specific observers.This will help us look at the twin paradox in the next chapter, and will prove crucial to understanding the effects of gravity on time. Along the way, we develop an understanding of the Doppler effect; a key tool in many areas of modern science. We find that Doppler effects are reciprocal (Alice observes the same effect on Bob’s signals as Bob observes on Alice’s signals) and that Doppler effects compound over multiple frame changes. We then use the compounding of Doppler effects to deduce the algebraic formof the velocity addition law. We show that this Einstein velocity addition law reduces to the Galilean law at low speeds.


2019 ◽  
Vol 66 (6) ◽  
pp. 679-688 ◽  
Author(s):  
Benjamin B. Dingel ◽  
Aria Buenaventura ◽  
Annelle R. Chua ◽  
Nathaniel J. C. Libatique

1970 ◽  
Vol 3 (11-12) ◽  
pp. 303-304 ◽  
Author(s):  
Wallace Kantor

Author(s):  
David M. Wittman

We have introduced the ideas of special relativity in quick succession because none of those ideas can really be understood in isolation. This chapter works through examples in some detail so you can practice applying the ideas and solidifying your understanding.We start with an overview of how to use spacetime diagrams to solve problems in special relativity, then we walk through examples ofmeasuring the length of a moving object; the train‐in‐tunnel paradox; velocity addition; and how clock readings are arranged so that each observer measures the other’s clocks as ticking slowly.


1973 ◽  
Vol 12 (6) ◽  
pp. 1102 ◽  
Author(s):  
David Milam ◽  
Audun Hordvik ◽  
Harold M. Stahl
Keyword(s):  

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