Appearing out of nothing with defined characteristics?

KyleStreet

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)

tom.stoer

A particle cannot suddenly appear (from nothing) b/c this violates conservation of energy

nouveau_riche

be more clear on what you want to say

KyleStreet

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.

maverick_starstrider

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?