Let us consider the ideal vacuum, i.e. place with nothing in
it whatsoever. With no matter, no electromagnetic field,
moreover, no gravitational field. Let us try to introduce a
co-ordinate system. In order to do this, we need some kind of
ruler, for example, a light beam. However, providing there is a
light beam in the ideal vacuum, the latter is no longer ideal,
which means that no co-ordinate system can be introduced in the
ideal vacuum.
This leads us to the idea that three space co-ordinates and
time co-ordinate are the qualities of the material world,
functions of matter. Normally, the opposite is assumed, i.e.
material objects existing in a time-space continuum, the latter
being primary. This statement, inrespectfully of its clear
scholastic nature, allows to reconsider the way which the time is
being defined.
Let us consider the simplest example - a stationary gravitational
field. If a distribution of matter in space is given, one can
calculate time in each point, or, to be more precise, compare a
speed of time flow in two different points of space. We can
speculate that time in a point is an integral function of matter
distribution in the whole space, which is some kind of
potential.
Quite naturally, the opposite should also be true, i.e. in
case we know matter distribution dependence on two co-ordinates
and time, we can find the dependence on the third co-ordinate by
some kind of analytic extension.
Above-mentioned makes us suggest that there is a mathematical
object M, which has at least a four parametric group of symmetry.
Besides, it is symmetrical in respect of permutation of the first
three parameters and antisymmetrical in respect the fourth one. I
can hardly imagine what I am talking about, but it appears to me
a very complicated object M, which differentiation with respect
to three variables gives us the fourth variable after some
tricks. Although knowing M alone does not allow calculating these
four parameters (one has to already know three of them),
existence of these four parameters is defined by M's nature. This
makes things easier, because differentiation of one co-ordinate
with respect to another gives the tensor of curvature, the latter
immediately gives the impulse-energy tensor, and world finally
failed into custom shape of the general relativity theory.
One of the most amusing qualities of our world is that
gravitational interaction always caused attraction of two bodies.
The other, not less interesting is the time co-ordinate being
significantly segregated from space ones - time can not flow
backward. We still do not understand why it is so, but could
suggest that they are somehow related one another.
Let us assume that in our very usual three-dimensional space
suddenly an object appears around which time flows backward.
Intuition says that this object will either repulse
gravitationally from the objects of our world or will not
interfere with them at all. Let us suppose that the area of
negative time flow occupied quiet a finite region in space. Is
there any way to get there? Obviously, not. The closer we get to
the border of the region, the slower our time flows.
Having a lot in common with getting into black hole, this process
is still very different. A body is falling into a black hole
reaches the center after a finite own time, while in our case
reaching the boundary of the positive and negative time flows
requires infinite own time. Object can be consider as an
infinitely remote one as far as the light beam is concerned, and
as that located a finite distance away with regards to the
co-ordinate, i.e. gravitational interaction.
The same idea could be illustrated by other means. Let us build
two spheres of the same radii around negative time region. The
radius of first will be fixed and radius of another would
decrease slowly in laboratory system. For the observer on the
second sphere its radius would decrease as long as it will not
come to the region where the slowing of time is significant. Our
experience allows us explain the slowing of time only by
expanding of space. Therefore, the observer will note the
expanding of his sphere. According to his observation the sphere
is expanding and could becomes larger then initial one. (That is
similar to well-known mathematical paradox - the sphere of larger
area could be place inside sphere of smaller area). When second
sphere will be on the boundary between positive and negative time
cluster, the time should stop, or, in other words, the radius of
sphere becomes infinite. We could say that conceptions of
"inside" and "outside" of stationary sphere are just reversed, or
that the end of universe could be some point inside our
Universe.
Our full Meta-Universe looks like a four-dimensional
space-time, split into clusters with different time flows. All
clusters interfere by gravitation, but travelling between two
clusters with positive and negative time flows are prohibited.
The only travels allowed are those between clusters with the same
time flow that is why a neighbor cluster should be considering as
a jointed one. Clusters with the positive time flow tend with
time to stick together due to gravitational interaction, because
nobody requires boundaries between clusters to stay motionless.
Clusters with the negative time do the same with the flow of
their time, i.e. they keep dividing from our point of view. No
rush...
In frames of such "bubble" universe the question of birth and
death of the Meta-Universe (at which point? when?) cannot be
consider a such. One can speak about formation of the
Meta-Universe only for a more comprehensive co-ordinate system.
Nevertheless, evolution of our cluster (our Universe) can be
consider. For example, as long as other clusters join our
cluster, new star and galaxies can appear on the sky.
Unification of two clusters increases their total entropy. It
would be nice if clusters with the positive time flow were
somehow compensated by those with the negative one. In such case
the entropy of the Meta-Univere could stay constant, as it should
be for a closed system.
Well, gravitational interaction is property of space
co-ordinates only; i.e. spreads at no time. However, the nature
does not allow us to transfer any kind of information quicker
than the speed of light. For example, the center of exploded star
stays where it was. A similar problem arises when two objects
impact. A mass of an object can not be changes spread enough to
let the changes spread out very quickly. From this side the
gravitation is very alike to a searchlight. If the beam is being
rotated quickly enough, the light spot may run along a wall with
any desired speed. Moreover it is possible to create a material
wave of light-emitting diodes, lightened by a fast light spot. It
still will not help to transfer information, because a wave by
lighted diodes does not make any sense.
