http://shass.mit.edu/news/news-2015-celebrating-einstein-marks-100th-anniversary-general-theory-relativity
"Wherever you may be on the space-time continuum, it's time to celebrate!"
It would be difficult to be anywhere on the space-time continuum - it does not exist:
https://www.youtube.com/watch?v=U47kyV4TMnE
Nima Arkani-Hamed 06:11 : "Almost all of us believe that space-time doesn't really exist, space-time is doomed and has to be replaced by some more primitive building blocks."
https://edge.org/response-detail/25477
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..."
http://www.newscientist.com/article/mg20026831.500-what-makes-the-universe-tick.html
"...says John Norton, a philosopher based at the University of Pittsburgh, Pennsylvania. Norton is hesitant to express it, but his instinct - and the consensus in physics - seems to be that space and time exist on their own. The trouble with this idea, though, is that it doesn't sit well with relativity, which describes space-time as a malleable fabric whose geometry can be changed by the gravity of stars, planets and matter."
http://www.guardian.co.uk/books/2013/jun/10/time-reborn-farewell-reality-review
"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.amazon.com/Time-Reborn-Crisis-Physics-Universe/dp/0547511728
"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..."
Why is Einstein's space-time nonexistent? Because it is an absurd consequence of Einstein's assumption (postulate) that the speed of light is constant. In fact the speed of light is variable. When an observer starts moving towards a light source with (small) speed v, the frequency he measures shifts from f=c/λ to f'=(c+v)/λ, where c is the speed of the waves relative to a stationary observer and λ is the wavelength.
Question: Why does the frequency shift from f=c/λ to f'=(c+v)/λ?
Answer 1 (fatal for Einstein's relativity): Because the speed of the waves relative to the observer shifts from c to c'=c+v (that is, relative to the observer, the speed of the light is now greater than c).
Answer 2 (possibly saving Einstein's relativity): Because...
There is no reasonable statement that could become Answer 2:
http://www.youtube.com/watch?v=bg7O4rtlwEE
"Doppler effect - when an observer moves towards a stationary source. ...the velocity of the wave relative to the observer is faster than that when it is still."
http://farside.ph.utexas.edu/teaching/315/Waveshtml/node41.html
"Thus, the moving observer sees a wave possessing the same wavelength (...) but a different frequency (...) to that seen by the stationary observer."
http://physics.bu.edu/~redner/211-sp06/class19/class19_doppler.html
"We will focus on sound waves in describing the Doppler effect, but it works for other waves too. (...) Let's say you, the observer, now move toward the source with velocity vO. You encounter more waves per unit time than you did before. Relative to you, the waves travel at a higher speed: v'=v+vO. The frequency of the waves you detect is higher, and is given by: f'=v'/λ=(v+vO)/λ."
Clever Einsteinians have always known that the speed of light varies with the speed of the observer. Here is an implicit confession:
http://www.einstein-online.info/spotlights/doppler
Albert Einstein Institute: "The frequency of a wave-like signal - such as sound or light - depends on the movement of the sender and of the receiver. This is known as the Doppler effect. (...) Here is an animation of the receiver moving towards the source:
http://www.einstein-online.info/images/spotlights/doppler/doppler_static.gif (stationary receiver)
http://www.einstein-online.info/images/spotlights/doppler/doppler_detector_blue.gif (moving receiver)
By observing the two indicator lights, you can see for yourself that, once more, there is a blue-shift - the pulse frequency measured at the receiver is somewhat higher than the frequency with which the pulses are sent out. This time, the distances between subsequent pulses are not affected, but still there is a frequency shift: As the receiver moves towards each pulse, the time until pulse and receiver meet up is shortened. In this particular animation, which has the receiver moving towards the source at one third the speed of the pulses themselves, four pulses are received in the time it takes the source to emit three pulses."
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[end of quotation]
Since "the distances between subsequent pulses are not affected", and since "four pulses are received in the time it takes the source to emit three pulses", the speed of the light as measured by the receiver (observer) is:
c' = 4d/t = (4/3)(3d/t) = (4/3)c
where d is the distance between subsequent pulses, t is "the time it takes the source to emit three pulses", and c=3d/t is the initial speed of the light (as measured by the source).
Clearly the speed of light (relative to the observer) varies with the speed of the observer, as predicted by Newton's emission theory of light and in violation of Einstein's relativity.
Pentcho Valev