John Stachel: "But this seems to be nonsense. How can it happen that the speed of light relative to an observer cannot be increased or decreased if that observer moves towards or away from a light beam? Einstein states that he wrestled with this problem over a lengthy period of time, to the point of despair." http://www.aip.org/history/exhibits/...relativity.htm

It does not SEEM to be nonsense - it IS nonsense. The speed of light obviously VARIES with the speed of the observer. Consider an observer (receiver) moving towards the light source with speed v:

http://www.einstein-online.info/imag...ector_blue.gif

https://www.youtube.com/watch?v=bg7O4rtlwEE

The speed of the light pulses as measured by the source (or the stationary observer) is

c = df

where d is the distance between the pulses and f is the frequency measured by the source. The speed of the pulses as measured by the moving observer is

c'= df' c

where f' f is the frequency measured by the moving observer.

Physicists have been trying to get rid of Einstein's constant-speed-of-light nonsense for a long time:

Paul Davies: "Was Einstein wrong? The idea of a variable speed of light, championed by an angry young scientist, could one day topple Einstein's theory of relativity. Einstein's famous equation E=mc^2 is the only scientific formula known to just about everyone. The "c" here stands for the speed of light. It is one of the most fundamental of the basic constants of physics.. Or is it? In recent years a few maverick scientists have claimed that the speed of light might not be constant at all. Shock, horror! Does this mean the next Great Revolution in Science is just around the corner?" http://www.prospectmagazine.co.uk/ma...einsteinwrong/

"Lee [Smolin] and I discussed these paradoxes at great length for many months, starting in January 2001. We would meet in cafés in South Kensington or Holland Park to mull over the problem. THE ROOT OF ALL THE EVIL WAS CLEARLY SPECIAL RELATIVITY. All these paradoxes resulted from well known effects such as length contraction, time dilation, or E=mc^2, all basic predictions of special relativity. And all denied the possibility of establishing a well-defined border, common to all observers, capable of containing new quantum gravitational effects." Joao Magueijo, Faster Than the Speed of Light, p. 250 http://www.amazon.com/Faster-Than-Sp.../dp/0738205257

"Rethinking Einstein: The end of space-time. [...] Horava, who is at the University of California, Berkeley, wants to rip this fabric apart and set time and space free from one another in order to come up with a unified theory that reconciles the disparate worlds of quantum mechanics and gravity - one the most pressing challenges to modern physics." https://www.newscientist.com/article...of-space-time/

New Scientist: "Saving time: Physics killed it. Do we need it back? [...] Einstein landed the fatal blow at the turn of the 20th century." https://www.newscientist.com/article...-need-it-back/

"Was Einstein wrong? At least in his understanding of time, Smolin argues, the great theorist of relativity was dead wrong. What is worse, by firmly enshrining his error in scientific orthodoxy, Einstein trapped his successors in insoluble dilemmas..." https://www.amazon.com/Time-Reborn-C.../dp/B00AEGQPFE

"And by making the clock's tick relative - what happens simultaneously for one observer might seem sequential to another - Einstein's theory of special relativity not only destroyed any notion of absolute time but made time equivalent to a dimension in space: the future is already out there waiting for us; we just can't see it until we get there. This view is a logical and metaphysical dead end, says Smolin." http://www.guardian.co.uk/books/2013...reality-review

What scientific idea is ready for retirement? Steve Giddings: "Spacetime. Physics has always been regarded as playing out on an underlying stage of space and time. Special relativity joined these into spacetime... [...] The apparent need to retire classical spacetime as a fundamental concept is profound..." https://www.edge.org/response-detail/25477

Joao Magueijo, Niayesh Afshordi, Stephon Alexander: "So we have broken fundamentally this Lorentz invariance which equates space and time [...] It's the other postulate of relativity, that of constancy of c, that has to give way..." https://youtu.be/kbHBBtsrU1g?t=1431

"You want to go back to a notion of space-time that preceded the 20th century, and it wants to ignore the essential lessons about space-time that the 20th century has taught us." Joao Magueijo: "Yes, that's right. So it's nouveau-Newtonian." At 53:29 he http://pirsa.org/displayFlash.php?id=16060116

New Scientist: "Must we topple Einstein to let physics leap forward again?" https://www.newscientist.com/article...forward-again/

In future physics, Einstein's 1905 nonsensical axiom

"The speed of light is invariable"

will be replaced with the correct axiom

"The wavelength of light is invariable".

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