Dark énergy (annex 1)

In this annex i give
a mathématical indication of the importance of my version on the dark
énergy.

We can see the basis text(darkenergy.htm) at
the next web address:

First we must do a link between
gravitational énergy and dark énergy for contraction zone(galaxy heap) and
expansion zone;

as there is a link between
the expansion zone(round the contraction zone) and the contraction of
contraction zone,because at some

distance from contraction zone centre,the
gravitational strength is équal to the responsible dark énergy,that this suggest
that dark énergy

responsible of expansion round the
contraction zone wil be the same order of height (in absolute) as the variation
of the gravitational énergy

of the contraction zone, we have only to consider
the term that représent the gravitational énergy from one contraction zone and
for

mathématical comparison, i am only going
consider the speed v at power 2 or (v.v),nécessary for the libération of
the contraction zone,

because this value give us a idéa of the libération
énergy by mass unity(by kilogramme).

Next we must
représent the libération speed at power 2 or (v.v) for our Universe that
have some estimate radius,then we have only

to do comparison of this Universe with all the
contraction zone and we do this as the following way:

Write R the estimate radius of
the Universe and R/N the mean radius of a contraction zone, N is équal to
the ratio of estimate radius

of Universe to the one of a estimatate mean
contraction zone, or R/(R/N) = N

With this value, here is
the comparison between the v.v of libération for the estimate Universe
and one mean estimate contraction zone:

2GM/R (for estimate Universe) and
2G[M/(N^3)]/(R/N) = 2GM/[(N^2)R] for the mean estimate contraction
zone

N^3 signify N.N.N or NxNxN and
N^2 signify N.N

then we have 2GM/R with the
comparison with 2GM/[(N^2)R]

the term that représent the
contraction zone is more little as 1/(N^2)

We have now to consider the sum of
contraction zone and do the comparison with the corresponding value for Universe
and for do this sum

we have only to multiply by N^3 the
corresponding term to the one of contraction zone:

{2GM/[(N^2)R]}(N^3) = 2GMN/R for all the contraction zone compare to 2GM/R
for Universe

The contribution of all the contraction zone is
then more that a value of N to the term 2GM/R and as if the contribution
of all the contraction zone

was only 2GM/R , there was also expansion , this
when we consider distinct density of space for expansion zone compare to
contraction zone.

As we multiply the term 2GM/R by N , this make my
version of dark énergy very important and the more N is great the more my
version is important.

I give a example for help
to représent the meaning of this comparison:

If a density space in a contraction zone is 8 time
more that the density of the round expansion zone, this in a long time could do
a increase of space volume about seven time for the expansion zone round of this
contraction zone(contraction of half by example), in a other side if we consider
a radius of Universe of about 30 milliard light years and if we consider a mean
radius for a contraction zone of 500 million light years for a mean contraction
zone

(notice that the Great Attractor zone have perhap a
radius like that),then we have:

30/(1/2) = 60 = N and the increase of the
volume of Universe would be by the product of 60 by 7 or 60(7) = 420 , the
cube(the power 1/3) of 420

that is about 7.5 , this is a possible increase of
the radius of Universe that could follow the contraction of contraction
zone(contraction of about half

that have perhap already be do for now and this
contraction is make again with accélération and for this is the explanation for
the accélération of the

expansion of Universe).

If by example this figures
as correct, the radius of the Universe would be increase of 7.5 time from
there are hight heap of galaxy that do contraction zone.

But before there are
galaxy, there can be have also a expasion of space volume of Universe, but this
expansion is perhaps note be in continute

accélération, this is that do possibly have other
expansion time and my dark énergy version point out a important
contribution to a expansion time that

is follow again.

Finally we can
notice that the Casimir effect have been expérienced succesfully, in 1996 by
example Steven Lamoreaux get a uncertainty of 5 % .

The Casimir effect show with no doubt that space
witout atom have a énergy density and that différent énergy density produce
strenghts and enormous

pressure.

As référence to the contraction zone in wich our galaxy is,here a link(see the
bottom web page):