I think your argument confuse something.You follow the particle and don't see any radiation,sound like different from the result in another frame.But these different phenomenons
are still unconcerned with HUP.The particle stays in the ground state and has no extra kinetic energy,but it doesn't...
You needn't.If you moving fast and watch an object,you would still find its velocity(or say momentum) and location satisfy the uncertainty principle.Because generally there's no exact value of velocity as well as location to describe the particle,the relativistic transformations are...
I think you probably misunderstand the host's question.Your answers may be a little stray from the point and trap in complexity.The host has doubt that whether uncertainty principle should be modified in relativistic situation.The answer is absolutely no.
The answer is a little complex.The theory of relativity and the quantum mechanics are always being used in the same situations.Relativity effects are obvious when we observe the cosmic ray or the particle in particle accelerators,while quantum mechanics principles,like uncertainty principle and...
Creatio ex nihilo is possible.Because of the uncertainty principle,or say E*t>h.But the time lasting would be very short,and there's no practical value.