If, according to special relativity, the speed of light is a constant "c," how is it possible that scientists have slowed the speed of light to < c?
The speed of light in vacuum is defined to be 300,000,000 m/s. There is a simple relationship, known to Maxwell, relating the speed of light in vacuum to the speed of light in matter: v = c/n where n is the optical index of the new medium. n=1 for a vacuum.
Thx. I consider that to be a real answer unlike the other thread. So if space isn't a vacuum but contains plasma then the speed of light isn't constant.
I didn't think so. So, if space isn't a vacuum and the speed of light can be slowed, is special relativity preserved?
Quite often people have said that you can have light moving in a vacuum at lower speeds that c as well. The group velocity depends on the Fourier composition of the wave, so does not have to be c. This is consistent with special relativity. The [url="http://en.wikipedia.org/wiki/Phase_velocity]phase velocity[/url] of light is always c.
You understand, of course, that c is defined as being the speed of light in vaccou and that Special Relativity posits that c, being the speed of light in vaccou is a constant? So questions about what speed light travels at in space, which we have all agreed isn't a perfect vacuum, and how that affects the basic applicability of SR and GR are kind of like asking how the colour Blue affects the flavour of Potatoes. According to Wikipedia, the refractive index of air is about 1.0003, which means (assuming that it's a meaningful result) even in the earth's atmosphere light is still travelling at approximately 0.9997c. And before you mention it, the Wikipedia source is in agreement with 5 other sources, including Microsoft Encarta, and three Chemistry and Physics textbooks, all of which give it precise values of between 1.00027 - 1.00032, depending on things such as the precise wavelength of light used.
Those slower speeds of light refer to group velocities and not phase velocities. The group velocity of light can change in different media, yes. Yes.
Until you create a vacuum. Actually a true vacuum doesn't exist, I think they just get very close. Maybe this will interest you. http://au.arxiv.org/abs/hep-ph/9807278
The two are experimentally indistinguishable, with experiments now stretching to halfway across the universe.
\(T=\left(\frac{n}{\zeta(3/2)}\right)^{2/3}\frac{h^2}{2\pi m k_B} \) \( k_B = boltzmans \) \( \zeta = Riemann zeta \) \( h = plank \) \( n = particle density \) This is used to calculate critical temperature for B.E.C., if it can also be used (I need verification) to calculate temperature regularly then it's evidence that 6 Kelvin and 3 Kelvin are not the same physical composition.