Understanding the Detonator Paradox: A Relativity-Based Explanation

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The discussion centers on the detonator paradox involving two shapes, U and T, and the conditions under which a bomb detonates. The standard explanation suggests that the bomb will detonate because the T's end will hit the button before the U's legs collide. However, the analysis reveals that in different reference frames, the order of events can change, demonstrating the relativity of simultaneity. The confusion arises from misrepresenting the solution and misunderstanding the causal relationship between the events. Ultimately, the paradox highlights the complexities of relativity and how different frames of reference can lead to varying interpretations of the same scenario.
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theres this problem in my book that talks about the detonator paradox, where there's one U shaped figure and one T shaped figure and there's a button for a bomb at the bottom of the U shaped figure, and the question is if the 2 figures go toward each other so that they fit, will there be a detonation. well the standard answer to this is that it will detonate because in the refrence frame where the bomb does not detonate, the end of the T will continue moving and hit the button since forces only move at the speed of light, so the bomb will detonate.
However i looked at the other refrence frame and noticed that in the RF of the U structure, the legs of the U will collide with the legs of the T before the button is pressed while in the RF of the T, the legs of the T collide with the legs of the U after the button is pressed. could someone explain this for me?
 
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Since the two events--(1) bottom of T hitting the button and (2) top of T hitting U structure--are not causally linked* there's no problem in different frames seeing them occur in different order. (The relativity of simultaneity at work.)

*By that I mean that one event is not the "cause" of the other.
 
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You haven't explained the problem very well. Also, you've misrepresented the solution (there is no "refrance from where the bomb does not detonate").
 
In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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