Parallelism in Space

As far as I'm aware, An electron and a positron act like separate particles once they are created. There is an excellent explanation offered on Scientific American online.

As I understand it, according to the math, an electron is the positive energy eigenvalue solution, whereas the positron is the negative energy eigenvalue solution of the dirac hamiltonian. The existance of the positron was actually predicted before it was discovered based on this.

One explanation of these surprising negative energy solutions (Positrons) is that the vacuum is filled with electrons. It takes a gamma ray with energy corresponding to 2MC² to excite it out of the vacuum. When it is excited a corresponding hole where it used to exist is created too, similiar to how a hole is created when an electron is excited in a semiconductor. This explanation is far from solid fact and has problems (see this article), however it sets the tone to a certain extent that particle - antiparticle creation and anihilation generally is a result of properties of a vacuum. Quantum Electrodynamics offers a field explanation that many feel is better than the hole theory.

So you asked:

"Can there be any chances of a parallel universe if the above statement is true?"

I'd say sure, but that's pure speculation and there is no evidence, as far as I know, scientific or mathematical, to describe a parallel universe. Of course, I don't know anymore than anyone else what the answer is. So possible? Why not.

If you're interested in the subject, I recommend bouncing around wikipedia for a while to get the qualitative explanations.

I think everything has just bounced off my head!!

I really am unaware of the term - eigenvalue. I have heard of the term - hamiltonian, but I don't quite completely understand it. Is it different from, dirac hamiltonian??!!!

I believe you are referring to "Quantum Entanglement".

Something Einstein referred to as "spooky action at a distance".

I'm not qualified to discuss it. - Try Wikipedia or Google.

Er, by definition, there cannot be any evidence of a parallel universe. If there were evidence, it would be in this universe, and therefore the parallel universe would not exist.

Anyway, Jorrie can sort this one out...

How can you say that? (what's the cliche?)

I mean, why can't another universe of the same kind exist 'outside' our universe? I hope you're not talking of using another terminology!