13 LASER paradox in relativity



   Hello. Today, I'm going to take a look at what's registered on physics.stackexchange.com. This also corresponds to the paradox of relativity, which does not appear in any form of book. If the current theory of relativity does not have any logical deficiencies, this paradox should not occur. But the reality is not so. The contents are as follows.

https://physics.stackexchange.com/questions/16180/is-there-a-contradiction-of-the-theory-of-relativity-here-length-contraction
https://physics.stackexchange.com/questions/16180/is-there-a-contradiction-of-the-theory-of-relativity-here-length-contraction


Suppose there is a laser beam powerful enough to burn through iron aimed at a piece of iron. You observe this event while you are in the same frame as the piece of iron and the laser-beam generator. In this frame, there is a certain part of space that you know that the light is traveling through.

Fig. 1 Electromagnetic wave © helder100, 출처 Pixabay

Now say that you get in a rocket that travels a few meters away from the laser beam in a direction perpendicular to eventually at a constant speed arbitrarily close to the speed of light. As you do so, the area that you knew the light was traveling through contracts in the direction that you are traveling in.


Fig. 2 Non-relativistic interpretation 

Say that the amplitude that you think that the light has decreases to the point where the light would no longer be carrying enough energy to burn through the piece of iron. If you see the iron stop being burned by the laser, our universe is seriously weird. I don't think this would happen. Would you see the laser continue to burn through the iron even though it does not seem to you to have the energy necessary to do so? Would this mean that, instead of having the length contract, that there is such a thing as absolute distance?

Fig. 3 Relativistic analysis supporting length contraction

(If we suppose that the amplitude you perceive the laser to have remains constant regardless of what inertial frame you are in, then the laser would appear to have a constant amplitude even as objects around it continued to contract in the direction you are traveling through. This would mean that the laser would have to seem to affect more and more of space as you traveled faster and faster, so it seems it would have to seem to burn through more and more objects as you went faster, which doesn't seem right to me.)
Does this contradict the theory of relativity? Is there an error in here somewhere?
Thanks.

This is a sure contradiction. 
Do you have a good way to solve this paradox using length contractions?

    As far as length contraction is true, this problem is never solved. But if you can actually experiment with this, this paradox will be solved. If we actually experimented, could the rocket be destroyed or not? I cannot do that. The iron is either destroyed or not destroyed. If only one of the two opinions is right, this is a mystery that can not be solved forever.

 This problem, which is a mystery that cannot be solved by length contraction, can be easily solved by common sense when considering the length expansion. There is nothing to think about. Both observers agree exactly.


Fig. 4 Relativistic analysis supporting length expansion
   For an observer on a rocket, everything has been multiplied by γ in the direction of travel. Amplitude is multiplied by γ times, and when the explosion, the flame is multiplied by γ in the direction of movement. Just like a magnifying glass, it looks the same. The other thing is that the direction of the enlarged direction is one side of the direction. There is no contradiction here.

 Do you think this is so simple? I do as well. However, truth is inherently simple. There are various paradoxes in relativity. We also do tremendous calculations to solve the paradox, add hypotheses, and debate our heads to keep them tidy. In essence, however, there is no paradox in relativity. Nature always has its own rules. But only human beings do not know it. I think this is so.

 When many paradoxes of relativity think of expansion as a right relativistic length, they are released immediately. There is no need for complicated calculations, difficult philosophy, or additional hypotheses. Now it is up to you to choose which theory is right for length contraction and length expansion.

















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