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				Analysis of Abell 1689

Summary Abell 1689 is a large galaxy cluster that shows particularly strong gravitational lensing as shown on the right (source). For this analysis published data relating to the apparent amount of dark matter in Abell 1689 was collected. This was interpreted using the AGM Theory to calculate the density profile of anti-gravity matter around and within the cluster. The resulting profile is consistent with the concept of an anti-gravity matter vortex.
Analysis The graph on the right is Page 22 in Source. This shows an estimate of the apparent dark matter content of Abell 1689. On this graph “Projected Mass” means mass within a circle as viewed from the earth (not mass within a sphere around the cluster centre). It can be seen that at the low radius end of the graph M is approximately proportional to R^2. This implies that at low radius the apparent density of dark matter does not vary much with radius. Data is scaled off the graph at the points marked with a circle and used in the following analysis. The data taken is the lower limit of apparent dark matter content.
From that data the apparent density of dark matter is calculated. This is done using a finite element method in which each element is a concentric shell of constant density, and each element has outer and inner surfaces that corresponds with consecutive radius points on the graph. The inner element is a full sphere. With the data scaled off the graph the apparent density of dark matter looks like this when plotted against radius (where the radius co-ordinate is the outer surface of the element). The shape of the curve is extremely sensitive to the values scaled off the graph above and some subjectivity had to be used to select data points that would generate a smooth curve with steady reduction in density with increasing radius. But this subjectivity did not drive the flattening of the curve at low radius. That flattening is the result of the observation above about M being approximately proportional to R^2 at low radius. However according to the AGM Theory there is no dark matter. The gravitational lensing is caused by an absence of anti-gravity matter rather than by a presence of dark matter. The galaxies in Abell 1689 are orbiting each other and as they do so they drive an anti-gravity matter vortex (or many vortices). The anti-gravity matter vortex throws anti-gravity matter outwards and causes a reduction in the density of anti-gravity matter within the cluster. This generates a gravitational attraction to the centre of the cluster for normal matter objects, anti-gravity matter particles and light.
The density of anti-gravity matter within the cluster has the form shown in the graph on the right. This graph has been created by inverting, factoring and transposing the curve above. The shape of the curve, particularly the reduction in gradient at low radius, is consistent with an anti-gravity matter vortex driven by the rotation(s) of the cluster. An apparent dark matter density of about 1.2 x 10^-20 kgm^-3 would be caused by an antigravity matter density drop of Gnn/Gna x 1.2 x 10^-20 kgm^-3. The background antigravity matter density must be greater than this value because the density cannot go below zero. Therefore we can conclude that:- Dnx = > 1.2 × 10^-20 kgm^-3 Conclusion The shape of the anti-gravity matter density profile, particularly the flattening at low radius is consistent with an anti-gravity matter vortex. The observation of the apparent density of dark matter provides some limits to antigravity matter parameters.

© Copyright Tim E Simmons 2010 to 2015. Last updated 3^rd August 2015. Major changes are logged in AGM Change Log.