A cosmological model is described here, which interprets
the ‘big bang’ as a bounce, due to the reduction
in the strength of gravity, for a vast quantity of matter.
The model gives an alternative solution of the flatness problem,
and a possible explanation of the accelerating universe.
The model is a based on models derived from Einstein’s
theory of General Relativity, which is acknowledged as the
correct theory of gravitation, but some modifications are
made - the most important of which is the variability of
gravitational constant, depending on the proximity of other
matter. The other modification is that the expansion of the
universe applies, in this model, to objects as well as distances
between objects. This approach leads naturally to the conjecture
1. The rescaling principle
In this model not only is space expanding, but the size
of material objects is increasing too. This expansion is called
rescaling to emphasis that, in this model, all length dimensions
increase uniformly, i.e. the size of people, atoms, stars,
distance between all objects - all these lengths increase
uniformly according to
Such a rescaling would be, in principle, almost completely
In this model it is also valid to regard the universe as static
(in scale-size, although the matter would be in motion and
there may be an expansion or contraction of the matter density).
For a rescaling universe which also appears static, it must
be that all physical quantities and constants rescale too.
The size of atoms depends on Plancks constant, so for atoms
to expand it is necessary that Plancks constant rescales too.
The table shows the changes necessary for a rescaling. The
variation depends on the number of length dimensions in the
physical quantity. For example, Plancks constant has metres
squared for its length dimension.
Table 1 - To show the variation of physical quantities with
* Any individual energy would rescale as ,
although the total energy of any object is conserved. To achieve
this, photons of zero rest mass change frequency. Particles
of non-zero rest mass gravitate.
The rescaling principle leads to a redshift
of light from distant objects, as well as the phenomenon
solution of Einsteins
is given which may solve some of the problems of modern cosmology.