Speed of Light: Length Contraction & 20AU Paths

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Traveling at speeds near the speed of light results in length contraction, making a 20AU path appear shorter to the traveler. However, this does not alter the fundamental speed of light, which remains constant. Both the traveler and a stationary observer will measure light traveling between two points at the speed of light. The contracted distance perceived by the traveler must be divided by the time dilation experienced to maintain this constant speed. Thus, while distances may seem shorter, the speed of light remains unaffected.
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traveling at the ~speed of light leads to length contraction.
based on that wouldn't a 20AU path be shorter if traveled at speeds near the speed of light ?
 
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EbolaHost said:
traveling at the ~speed of light leads to length contraction.
based on that wouldn't a 20AU path be shorter if traveled at speeds near the speed of light ?

Yes. However that doesn't change the speed of light. Because of time dilation both the traveler (who sees the distance contracted) and an observer at rest relative to the endpoints of the traveler's journey will find that a flash of light travels between the two points at the speed of light - divide the contracted length by the dilated time and you'll get ##c##.
 

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In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...
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