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*homogeneous isotropic*medium. We may look for a set of transformations for which the form of the equations remain unchanged[in accordance with the first postulate of Relativity].Of course we get the same Lorentz transformations but with a different value of "c".Here [tex]c^{'}{=}{\frac{1}{{\sqrt{\mu\epsilon}}}[/tex]

and [tex]c^{'}{<}{c}[/tex]

Let us re-examine the second postulate of Special Relativity in matter.If a moving source emits light, the speed of light before it strikes the molecules/particles ,is the vacuum speed c=3*10^8 m/s.After interaction with the particles it takes on an average value [tex]c^{'}[/tex] and this value

*[defined to be the average value]*should again be

*independent*of the

*.We may develop the Lorentz transformations with [tex]c^{'}{<}{c} [/tex]*

*motion of the source*The value [tex]c^{'}[/tex] should accommodate fluctuations up to the value of c[and these fluctuations occur in vacuum] but the mean value[of particle velocity] should not exceed [tex]c^{'}[/tex]. But in Cerenkov effect the mean value of the particle velocity definitely exceeds the value [tex]c^{'}[/tex]. How does this happen? Should it affect causality in any manner?