This ATM shows that the perceived change in acceleration of the universe, at about 5 billion light years, can be explained by the gravity between two universes. The acceleration of gravity, of our Hubble Sphere universe, increases as we get farther from the center of our Hubble Sphere universe linearly, the gravity from our adjacent Hubble Sphere universes decreases by the square of the distance from the center of that Hubble Sphere universe. The point at which these two accelerations, of gravity, become equal, is at 5.27 billion light years from the center of the universe. It is hypothesized here, that if the observed change in the rate of expansion of the universe occurs at exactly 5.27 billion light years from the center of the universe.

2.0 Calculations

We define the gravitational force of a symmetrical, uniformly dense sphere, to be 1 at its surface. As we move towards the center of the sphere, the gravitational force decreases linearly to zero at the center. As we move out from the sphere the gravitational force decreases by the inverse of the radius.

If we have two spheres adjacent at what point does the gravitational force from one sphere, as it decreases by the inverse of the radius, be equal and opposite to the linear decrease to the center of the other sphere. The fraction at which this occurs is calculated as follows.