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a lot of transformation laws have c in them. the speed of light, however, depends on the medium ( [tex] c' [/tex] ) and is different from the [tex]c[/tex] in vaccuum.

so my question is, which one should i use in relativistic laws if the medium is , say, water with [tex] c' = \frac{c}{1.33} [/tex]

of course one would say [tex] c[/tex], but in the [tex] w=\frac{u+v}{1+\frac{u v}{c^2}}[/tex] the speeds can get up to [tex]c[/tex], whereas in that medium they should never go faster than [tex] c'[/tex]

or how should i apply relativistic laws in a specific medium ?

and the momentum of light [tex] \frac{E}{c} [/tex]?

so my question is, which one should i use in relativistic laws if the medium is , say, water with [tex] c' = \frac{c}{1.33} [/tex]

of course one would say [tex] c[/tex], but in the [tex] w=\frac{u+v}{1+\frac{u v}{c^2}}[/tex] the speeds can get up to [tex]c[/tex], whereas in that medium they should never go faster than [tex] c'[/tex]

or how should i apply relativistic laws in a specific medium ?

and the momentum of light [tex] \frac{E}{c} [/tex]?

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