Inertial frames constant light speed

Semi-quantitative arguments on the role of relativistic effects in the chemical applications can be already presented within the very simply model. One of the principle axiom of the theory of relativity is the assumption that the speed of light is the finite and constant number (c 137.036 au) in all inertial frames. The quantity which characterizes the limit of validity of classical mechanics is the ratio of velocity of particle to the velocity of light ... 

The first high-precision experiment of this kind was performed by Michelson and Morley in 1887 using their famous interferometer for velocities n w 30 km/s. This experiment has been repeated again and again by Michelson and Miller between 1902 and 1904 with much higher accuracy but the very same result the speed of light is constant in all inertial frames of reference. 

The relativity principle of Einstein or, more precisely, the principle of constant speed of light led us to the definition of the four-dimensional distance Sj2 given by Eq. (3.4), which we recognized as an invariant quantity under Lorentz transformations relating different inertial frames of reference. It is therefore advisible to adopt a more suitable notation in order to reflect the... 

So far we have only exploited the principle of constant speed of light in all inertial frames, but not the (first part of the) relativity principle itself, cf. section 3.1.2. Due to the relativity principle the Lorentz back transformation from IS to IS must have the same form as given by Eq. (3.60) with v replaced by —v,... 

In section 3.1.2 we found the invariance under Lorentz transformations of the squared space-time interval s 2 between two events connected by a light signal being solely based on the relativity principle of Einstein, i.e., the constant speed of light in all inertial frames, cf. Eq. (3.5),... 

Let us concentrate on the particle aspect only. The main issue is to identify an space (three- or four-dimensional ) where photons propagate with constant speed c. Einstein s second postulate of the special theory of relativity (STR) requires the speed of light in free space to be the same for all inertial observers. This postulate is conventionally interpreted as implying the non-existence of a preferred frame E. As discussed in section II, the exactly opposite view will be adopted here. 

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