Dark Matter – Dark Energy Congruence!

The Energy Density Pie 

A revelation that leads from performing the calculation C^2/R, wherein ‘C’ is the speed of light and ‘R’ is the entire universe’s scale is that it gives you an acceleration. As discussed in the previous posts, this acceleration magically falls in place of repulsive acceleration produced by the hypothesized Dark Energy, driving all galaxies apart. Thereby also giving it the nature of being the cosmological constant. 1.2 x 10^-8cm/sec^2 being the value of this acceleration.

Apart from that the universe is also hypothesized to contain Dark Matter a startling 23% of the energy density of the universe. The nature of which was also discussed in the previous posts. The discovery of the dark matter was a problem that was established by measuring the accelerations of the stars in the orbit about the center of its galaxy. The problem arises due the fact that given the measured acceleration astronomers could deduce from it, the distribution of the galaxy’s matter. In almost all cases a disagreement of calculation occurs with the matter observed experimentally.

3D map of the large-scale distribution of dark matter

What is happening here ? Two thing are possible. Either laws of gravitation as we know them are flawed and they’re breaking down at the scales of starts orbiting galaxies. Or there is some extra unobserved matter contributing to this anomaly in the acceleration of the star.
Another anomaly observed right outside our solar system was the Pioneer 10 , 11 spacecraft anomaly. There were accelerations that seemed to have popped out of nowhere affecting the trajectory of the spacecraft which was on its orbit around the sun. There is something common in all of these anomalies , an acceleration of unknown origin crawling out of nowhere leading to altered trajectories leading to results conflicting with those calculated with the known gravitational formulae. All of this could be attributed to Dark Matter.

Now let’s take a look at these stars that are actually orbiting around the galaxies center. The problems in confirming with calculated values do not occur for the stars in the orbits closer to the center of the galaxy, no problems there. The acceleration here is the one that is cause by the visible matter, so within this region the gravitational laws we know work fine. Go further out into exterior orbits and the problems start ascending. So where does the dividing line for this anomaly lie ? Where exactly do the results start opposing the ones we know. This line is determined by the ‘acceleration’ of the stars in the orbit around the center of the galaxy. What is this value of acceleration?
It’s the same as C^2/R, the critical value off acceleration responsible for the universe’s expansion (dark matter). This should surprise you out of your wits. Two completely unrelated phenomena are related at extreme scales. This was discovered in Mordelha Milgrom in the 1980’s. Also worth mentioning here is the variance in acceleration deduced for the Pioneer 10,11 spacecraft are roughly equal to this value.
The intriguing question is why does the nature of expansion on scales of the entire universe have anything to do with the trajectory of stars on orbits in any given galaxy? Universal expansion does not affect individual galaxies. The galaxies remain gravitationally bound by matter. Agreed the fact they are only moving apart from one another.  Hence the next post deals with the implications that this new found relation between Dark Matter, Energy and the extreme (lowest and highest) scales of the universe might have on the nature of physics.