This is exactly what I mean, with the math created to mold distances and durations to fit an invariant velocity. It creates its own reality. For over a hundred years. It is a choice to accept reality that way.
To all posters: If you define a certain speed, for example of light in a vacuum, as invariant, then you can adjust all mathematical formulas for describing what happens to it. Distances and durations will then be molded to fit that invariant velocity. However, this gets a bit complicated to...
The pulse distance was Txc km when sending, and doesn't just change length, okay? Doesn't this exactly the same length of Txc km now pass the observers with different durations?
Then my initial question: the same source, the same pulses, the same T, but now there are two other observers and they measure an interval of T+1 s and T-1 s. Are the measured speeds of the pulses then (Txc)/T+1) km/s and (Txc)/(T-1) km/s? And not c?
OK, I say it differently. My source sends out a pulse of light and T seconds later a second pulse of light. The light pulses are on their way to me with speed c (km/s). The distance in space between the two light pulses is T x c km. I observe the light pulses and measure a time of T seconds...
Now if two different time durations are measured for one and the same event by two different observers, for example T+1 and T-1 seconds. Is the speed of passage then (T x c)/(T+1) and (T x c)/(T-1) respectively? So not c?
You may be wondering…, and yes, there is an example of it!
With these short answers, I assume that I am meant to believe you at your word.
I don't quite understand yet what the definition of a year (the Earth around the sun once?) should be for the traveler.
I also have the following problem: just as the traveler looks at my watch on his way back...
Slower in both directions?
If the traveler looks at my clock with a telescope, then, looking through his telescope, he can just as well count how many circles the Earth has revolved around the sun. After all, the movements of the clock and of the orbiting Earth are in a fixed relationship to...
The mystery is simply solved: whether the speed of light is invariant, or the wavelength is invariant. The former has been chosen. It's an assumption. The assumption could just as well have been that the wavelength is invariant and the speed of light is not. It really doesn't matter what you...
Light is not easy to measure. Is there a measurement of the speed of light where the light source and observer move with respect to each other at high speed? If not, how can you be sure?
Inferring something based on an assumption is different from a measurement or hard evidence. It is an elaboration of an assumption and therefore remains an assumption. Since a speed is a length divided by a time duration at all times, I cannot avoid different speeds if I divide the same length...