Pentcho Valev
2016-11-25 16:13:07 UTC
http://www3.imperial.ac.uk/newsandeventspggrp/imperialcollege/newssummary/news_24-11-2016-10-12-58
"Scientists behind a theory that the speed of light is variable - and not constant as Einstein suggested - have made a prediction that could be tested. Einstein observed that the speed of light remains the same in any situation, and this meant that space and time could be different in different situations. The assumption that the speed of light is constant, and always has been, underpins many theories in physics, such as Einstein's theory of general relativity."
My comment (damaged and illegible on the site):
In the logic of Einstein's relativity "constant" means "independent of the speed of the source or observer". The requirement "and always has been" has nothing to do with this logic, so Magueijo's "variable speed of light" is by no means a challenge to Einstein's theory.
It is almost obvious that the speed of light (relative to the observer) CANNOT be independent of the speed of the observer. When the initially stationary observer starts moving towards the light source, with speed v, he sees the same wavelength (λ'=λ) but a different frequency (f'=(c+v)/λ) and a different speed of light (c'=c+v), in violation of Einstein's relativity. Relevant quotations (website addresses omitted):
"Thus, the moving observer sees a wave possessing the same wavelength [...] but a different frequency [...] to that seen by the stationary observer."
"Moving Observer. Now suppose the source is fixed but the observer is moving towards the source, with speed v. In time t, ct/λ waves pass a fixed point. A moving point adds another vt/λ. So f'=(c+v)/λ."
"Doppler effect [...] Let u be speed of source or observer [...] Doppler Shift: Moving Observer. Shift in frequency only, wavelength does not change. Speed observed = v+u [...] Observed frequency shift f'=f(1±u/v)"
"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."
Pentcho Valev
"Scientists behind a theory that the speed of light is variable - and not constant as Einstein suggested - have made a prediction that could be tested. Einstein observed that the speed of light remains the same in any situation, and this meant that space and time could be different in different situations. The assumption that the speed of light is constant, and always has been, underpins many theories in physics, such as Einstein's theory of general relativity."
My comment (damaged and illegible on the site):
In the logic of Einstein's relativity "constant" means "independent of the speed of the source or observer". The requirement "and always has been" has nothing to do with this logic, so Magueijo's "variable speed of light" is by no means a challenge to Einstein's theory.
It is almost obvious that the speed of light (relative to the observer) CANNOT be independent of the speed of the observer. When the initially stationary observer starts moving towards the light source, with speed v, he sees the same wavelength (λ'=λ) but a different frequency (f'=(c+v)/λ) and a different speed of light (c'=c+v), in violation of Einstein's relativity. Relevant quotations (website addresses omitted):
"Thus, the moving observer sees a wave possessing the same wavelength [...] but a different frequency [...] to that seen by the stationary observer."
"Moving Observer. Now suppose the source is fixed but the observer is moving towards the source, with speed v. In time t, ct/λ waves pass a fixed point. A moving point adds another vt/λ. So f'=(c+v)/λ."
"Doppler effect [...] Let u be speed of source or observer [...] Doppler Shift: Moving Observer. Shift in frequency only, wavelength does not change. Speed observed = v+u [...] Observed frequency shift f'=f(1±u/v)"
"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."
Pentcho Valev