Anton W.M. Biermans replied on Oct. 5, 2012 @ 04:01 GMT
Dear Sergey,
A Self-Creating Universe (SCU) doesn't exist as a whole, as 'seen' from without, so to say, so we cannot even ask, from the outside, whether it has a border.
According to the uncertainty principle, a particle of an infinitesimal energy has an infinite lifetime: as its position in space and hence in time is completely indefinite as long as its energy is infinitesimal, we can say that it always has existed and always will exist, though as the effects of its existence then are infinitesimal, we can as well say that it doesn't really exist. If in a SCU the mass of particles is as much the product as the source of the force between them so is a relative quantity, varying depending on their distance and motion, and they evolve in a trial-and-error process to an ever-increasing energy (which they do by contracting), but start out with an infinitesimal energy, then they have no sharp birth date so to speak, so their universe, their interaction horizon has no sharp border either.
If the mass of the objects within its universe also depends on the mass of the observing particle, the force it feels from and exerts upon such objects, then according to the particle, its universe starts to exist as it starts to exist itself, that is, as it starts to interact.
So whereas in a Big Bang Universe all particles have been created at the same time, in a SCU particles keep creating each other everywhere, always, so while a BBU has a beginning as a whole and hence a border, a SCU, as seen from within, has no border which is the same for all observers: a SCU looks, is different to different observers.
As any particle is at the center of its own interaction horizon, its own universe, two particles don't live in the exact same universe unless they are ate the exact same spacetime point: the farther they are apart, the less their universes overlap, the less what happens within the interaction horizon (which obviously has no sharp border) of one particle is related to what happens within the universe of the other.
Anton
