
Maths with AGM
Pressure 


This page describes an analysis of the behaviour of antigravity 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 antigravity between antigravity 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 antigravity matter repulsion = Gna Gravitational constant for antigravity matter to antigravity matter repulsion = Gaa = 0 The background density of antigravity matter = Dab The AGM Exclusion Density = Dnx The background pressure of antigravity matter = Pab Assume monatomic adiabatic expansion where = 5/3 
What’s
the relationship between antigravity matter pressure and radius? Assume antigravity matter is arranged spherically symmetrically around a central normal matter object of mass M. Radius variable = r Antigravity matter density at any radius = Antigravity matter pressure at any radius = p For any thin concentric spherical shell weight (outwards) is supported by change of pressure. 1) The equation for adiabatic expansion of antigravity matter as pressure decreases 2) where k is a constant Therefore 3) But from 1) and 2) 4) Integrate 5) When r = p = Pab and from 3) 6) At the AGM Boundary let r = R, p = 0 and from 5) and 6) 7) 8) R = and 9) AGM Exclusion Density = Dnx = and therefore 10) 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 27^{th} July 2015.
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