Appearing out of nothing with defined characteristics?

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Lets consider a point particle that suddenly appears at a position in spacetime. At the instant the particle appeared, did the particle at time=1/oo s have the same physics its action will have later on that piece of spacetime?

Please answer with few descriptions of each mathematical expression. (Note: My message isn't about the Big Bang, however I agree to it completely)
 
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A particle cannot suddenly appear (from nothing) b/c this violates conservation of energy
 
KyleStreet said:
Lets consider a point particle that suddenly appears at a position in spacetime. At the instant the particle appeared, did the particle at time=1/oo s have the same physics its action will have later on that piece of spacetime?

Please answer with few descriptions of each mathematical expression. (Note: My message isn't about the Big Bang, however I agree to it completely)

be more clear on what you want to say
 
Okay, this is what I meant:

If a point particle suddenly appears as a 'checkable' unit on spacetime, will it be defined simultaneously and act as a commutator for spacetime simultaneously before it disappears t=1/infinity later as the lifespan of the particle is 0 to 1/infinity seconds?

The question is almost the same as the P versus NP problem, which is unsolved in mathematics.
 
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Either what you're asking is way over my head or there are some fundamental mis-understandings here. As has been pointed out energy conservation must be observed (as well as a few other symmetries). Furthermore, in quantum field theory time and space are just labels, they're not operators so they don't have commutation relations. Also, what's a 'checkable' unit of spacetime?
 
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If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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