09 Three-line proof of length expansion



   Do you accept the relativistic time dilation as a true phenomenon occurring in nature? Sometimes people do not accept this. I personally believe that time delay or time dilation is a real phenomenon in nature.

 If you accept a time dilation, it is just like accepting a length expansion. Only three lines are enough to prove it as a formula. It does not require the derivation of many complex formulas.
Just multiply both sides of the time delay equation by the speed of light c and it is finished. Then the length becomes the expansion formula. It's too simple to say it's a proof. Looking back, the top of the equation is the time dilation.



 Since the distance is always the product of speed and time, the above relationship holds true. The subscript "o" below indicates the intrinsic physical quantity, and the absence of the subscript is the observed physical quantity. In addition to this, there are many ways to prove the expansion of the length by formula.

 1) Consideration by space-time symmetry
2) Proof by K Calulus(3 methods: Hermann bondi's notation, David Bohm's notation )
3) Proof by the Kutliroff method
4) Proof by Lorentz transformation
5) Proof by Doppler effect
6) Proof by path of light progression(Elliptical Theorem)

 Today, we looked at the 'proof of length expansion from time dilation'. If you think that it is wrong, please leave a comment.












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