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.












Comments

Post a Comment

Popular posts from this blog

06 Muon Paradox

Image
   Today, I would like to talk about the muon paradox. There are several subatomic particles that are smaller than atoms, such as a μ-meson. It is called a μ-meson, but it is abbreviated to muon. The lifetime of this muon is fixed. The proper lifetime of this particle is 2.2 μsec. It only survives for a very short moment, and then  it collapses into other particles. Cosmic-rays are constantly coming out of space due to the explosion of stars in the universe or the nuclear fusion reaction of the sun. At this time, the cosmic-ray and the earth's atmosphere react to create a muon. Muon's speed is near the speed of light when it falls to Earth. It drops at a rate of about 0.998c. However, even if it falls so fast, it cannot reach the ground because its life is short. If the muon has a lifetime of 2.2 μ sec and a speed of 0.998 c, the muon can run about 650 m from the point where it was created. The point where the usual muon occurs is about 10km above sea level. I
Read more

10 Rotating disc of black hole and Ehrenfest's paradox

Image
  Black holes are unusual in many ways. Thet have also has a spinning disc, a jet, a Schwartzchild radius, a horizon of events and singularities. But there is one thing that can not be explained in modern science or the theory of relativity. It is the rotating disc of a black hole. Black hole and Ehrenfest paradox   The speed at which materials rotate in the rotating disk of a black hole is almost as close as the speed of light. If so, all the materials must be decomposed and discarded by the Lorentz contraction. However, the rotating disk of a black hole certainly exists. It is definitely a contradiction. In fact, these are linked to the famous paradox of the Ehrenfest paradox. [1] Today, we will look at the Ehrenfest paradox. Fig. 1 Paul Ehrenfest Personally, I think Erlenpest paradox is the best of relativity's paradoxes. Other paradoxes seem to be a little simpler than this paradox. The list of people who studied this paradox is very extensive. Einstein
Read more

31. Ehrenfest Paradox 2: Does the length of a rotating circumference change?

Image
  We looked at the Ehrenfest paradox last time. There are two issues in the Ehrenfest paradox. The first assumes a disc made up of an ideal rigid body, but when rotated at relativistic speed, it ruptures. The second is that the perimeter of a rotating body is different from its length when it is stationary. In the last post I looked at the first issue, and this time I want to look at the second issue. For those who have not read the first part, I will briefly introduce this paradox. It is best to read the previous post. Below is a link to the first part. The Ehrenfest paradox part I Rotating disc and length contraction   In relativity, objects that run very fast are said to shrink in length. So the official name of this is Lorentz - Fitzgerald Length contraction. It is not 'Einstein's length contraction'. This was born regardless of the theory of relativity. Before the theory of relativity was published, several people experimented to detect ether, but the e
Read more