This page describes an analysis of the behaviour of anti-gravity matter around a small central normal matter object when AGM Pressure is involved. This analysis is much simplified by the observation described in Investigation that for small scale phenomena anti-gravity between anti-gravity matter particles can be ignored. In the analysis we assume that Gaa = 0.
Definitions and Assumptions
Gravitational constant for normal matter to normal matter attraction = Gnn = conventional G
Gravitational constant for normal matter to anti-gravity matter repulsion = Gna
Gravitational constant for anti-gravity matter to anti-gravity matter repulsion = Gaa = 0
The background density of anti-gravity matter = Dab
The AGM Exclusion Density = Dnx
The background pressure of anti-gravity matter = Pab
Assume monatomic adiabatic expansion where = 5/3
What’s the relationship between anti-gravity matter pressure and radius?
Assume anti-gravity matter is arranged spherically symmetrically around a central normal matter object of mass M.
Radius variable = r
Anti-gravity matter density at any radius =
Anti-gravity matter pressure at any radius = p
For any thin concentric spherical shell weight (outwards) is supported by change of pressure.
The equation for adiabatic expansion of anti-gravity matter as pressure decreases
2) where k is a constant
But from 1) and 2)
When r = p = Pab and from 3)
At the AGM Boundary let r = R, p = 0 and from 5) and 6)
8) R =
9) AGM Exclusion Density = Dnx =
Therefore from 8) the radius of the AGM Boundary is proportional to M, and from 10) inversely proportional to the square root of AGM Exclusion Density.
© Copyright Tim E Simmons 2010 to 2015. Last updated 27th July 2015. Major changes are logged in AGM Change Log.