Neil deGrasse Tyson, Death by Black Hole: And Other Cosmic Quandaries, pp. 123-124: "If everyone, everywhere and at all times, is to measure the same speed for the beam from your imaginary spacecraft, a number of things have to happen. First of all, as the speed of your spacecraft increases, the length of everything - you, your measuring devices, your spacecraft - shortens in the direction of motion, as seen by everyone else. Furthermore, your own time slows down exactly enough so that when you haul out your newly shortened yardstick, you are guaranteed to be duped into measuring the same old constant value for the speed of light. What we have here is a COSMIC CONSPIRACY OF THE HIGHEST ORDER." https://www.amazon.com/Death-Black-Hole-Cosmic-Quandaries/dp/039335038X
Let us see how the cosmic conspiracy of the highest order works. Assume that a light source emits equidistant pulses and an observer starts moving towards the source:
View: https://youtube.com/watch?v=bg7O4rtlwEE
The speed of the light pulses relative to the stationary observer is
c = df
where d is the distance between subsequent pulses and f is the frequency at the stationary observer. The speed of the pulses relative to the moving observer is
c'= df' > c
where f' > f is the frequency at the moving observer.
That is, the speed of light relative to the observer VARIES with the speed of the observer.
In order to save Einstein's relativity, the cosmic conspiracy of the highest order can do two things:
1. It can change the distance between subsequent light pulses just in front of the moving observer. If, in front of the moving observer, this distance shifts from d to d'=dc/(c+v), the moving observer will be "duped into measuring the same old constant value for the speed of light" and Einstein's relativity is saved.
2. If changing the distance d in front of the moving observer is too difficult, the cosmic conspiracy of the highest order can supply all human minds with an unconditional belief in Einstein's constancy of the speed of light. The situation will become analogous to that in Big Brother's world:
George Orwell: "In the end the Party would announce that two and two made five, and you would have to believe it. It was inevitable that they should make that claim sooner or later: the logic of their position demanded it. Not merely the validity of experience, but the very existence of external reality, was tacitly denied by their philosophy. The heresy of heresies was common sense. And what was terrifying was not that they would kill you for thinking otherwise, but that they might be right. For, after all, how do we know that two and two make four? Or that the force of gravity works? Or that the past is unchangeable? If both the past and the external world exist only in the mind, and if the mind itself is controllable what then?"
Let us see how the cosmic conspiracy of the highest order works. Assume that a light source emits equidistant pulses and an observer starts moving towards the source:
The speed of the light pulses relative to the stationary observer is
c = df
where d is the distance between subsequent pulses and f is the frequency at the stationary observer. The speed of the pulses relative to the moving observer is
c'= df' > c
where f' > f is the frequency at the moving observer.
That is, the speed of light relative to the observer VARIES with the speed of the observer.
In order to save Einstein's relativity, the cosmic conspiracy of the highest order can do two things:
1. It can change the distance between subsequent light pulses just in front of the moving observer. If, in front of the moving observer, this distance shifts from d to d'=dc/(c+v), the moving observer will be "duped into measuring the same old constant value for the speed of light" and Einstein's relativity is saved.
2. If changing the distance d in front of the moving observer is too difficult, the cosmic conspiracy of the highest order can supply all human minds with an unconditional belief in Einstein's constancy of the speed of light. The situation will become analogous to that in Big Brother's world:
George Orwell: "In the end the Party would announce that two and two made five, and you would have to believe it. It was inevitable that they should make that claim sooner or later: the logic of their position demanded it. Not merely the validity of experience, but the very existence of external reality, was tacitly denied by their philosophy. The heresy of heresies was common sense. And what was terrifying was not that they would kill you for thinking otherwise, but that they might be right. For, after all, how do we know that two and two make four? Or that the force of gravity works? Or that the past is unchangeable? If both the past and the external world exist only in the mind, and if the mind itself is controllable what then?"
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