can you give an example of information traveling faster than the speed of light?

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Of course. At the moment two particles fly into each other they have 99% the speed of light and therefore the collision is faster than the speed of light.

at the moment of collision there is a kivergent (KIVERGENT information) exchange of information that it is necessary to release a proton since they are almost twice as fast as the speed of light, the information is transmitted even faster.

it's like a cat in a box. who gives information to uranium to emit suddenly? so there is an exchange of information .

collider launches with huge speed but when they become x2 . it means the speed of merging of particles is very high .

A collision of two particles happens at a point in space. No distance travelled. How does that equal information travelling faster than the speed of light?