In this paper, the special theory of relativity in different media is established, based on the fundamental invariant of the space-time four-dimensional space *x**2** + y**2** + z**2** - c**2** t**2** = x**'2** + y**'2** + z**'2** - c**'** t**'2** *. First of all, the inertial coordinate system is strictly defined in mathematical language. The inertial coordinate system that uses the actual measured different speeds of light as the limit speed still retains its most basic characteristics as an inertial coordinate system. Then, the space-time coordinate transformation and velocity transformation formulas between inertial coordinate systems with different light velocity are derived. These results not only break through the limitation of "vacuum", but also all are exactly the same as the conclusions of the traditional special theory of relativity when* c = c* ' ; and when

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Posted 09 Apr, 2021

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Posted 09 Apr, 2021

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In this paper, the special theory of relativity in different media is established, based on the fundamental invariant of the space-time four-dimensional space *x**2** + y**2** + z**2** - c**2** t**2** = x**'2** + y**'2** + z**'2** - c**'** t**'2** *. First of all, the inertial coordinate system is strictly defined in mathematical language. The inertial coordinate system that uses the actual measured different speeds of light as the limit speed still retains its most basic characteristics as an inertial coordinate system. Then, the space-time coordinate transformation and velocity transformation formulas between inertial coordinate systems with different light velocity are derived. These results not only break through the limitation of "vacuum", but also all are exactly the same as the conclusions of the traditional special theory of relativity when* c = c* ' ; and when

This preprint is available for download as a PDF.

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