Authors : Ansh Sarkar.

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 Volume 3 Issue 7

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In this theoretical paper hypothetical situations and instruments were used to form, analyse and derieve an expression with the objective of filling loopholes in einstein’s theory of time dilation [1,2,3,4,10,12].
Time dilation as presented by albert einstein in 1905 is one of the most experimented and reviewed topic. time dilation states that time slows down in a moving object which is given by.
ᵟ𝒕’ =
ᵟ𝒕 √1 − 𝑣2 𝑐2
Where: ᵟt’=dilated time elapsed v = speed of moving object ᵟt = actual time elapsed c = speed of light in vacuum
The explanation and expression of time dilation works only when vacuum is the medium of object propagation. but, when a medium other than vacuum is present, then this equation falls short of an important factor that is, optical density[8,9].
My research paper here, presents an expression to measure time dilation considering this missing factor.
light beam clocks[5,6,7] and the concept of closed and bounded systems have been used as a link connecting optical density to the original theory of time dilation. the new derivation has a potential to reduce errors in measurements in calculations which use the formula for time dilation.