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 the 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 described previously

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 undetectable.
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 time

* 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 of gravitation. A solution of Einsteins equations is given which may solve some of the problems of modern cosmology.