## Tuesday, April 7, 2015

### Planck Data Bounds On Dark Matter

A new preprint sets bounds on the minimum dark matter mean lifetime of 3.57*10^24 seconds, and also establishes a minimum value for cross-section of interaction divided by dark matter mass, based on the Planck data.  This is roughly 10^17 years.

By comparison the age of the universe is roughly 1.38 * 10^9 years.  This means that dark matter (if it exists) is at least as stable as anything other than a proton, which has an experimentally determined mean lifetime of at least 10^33 years.

Tienzen said...

"Dark matter: 10^17 years.
By comparison the age of the universe is roughly 1.38 * 10^9 years.
This means that dark matter (if it exists) is at least as stable as anything other than a proton, at least 10^33 years."

Amen!
For the Planck data (dark energy = 69.2; dark matter = 25.8; and visible matter = 4.82), it can be calculated (derived) with following equations.

Among 48 fermions (quarks and leptons), only 7 of them are visible.

So, the d/v (dark/visible ratio) = [41 (100 – W) % / 7]
When, W = 9 % (according to the AMS2 data), d/v = 5.33

In this scheme, the space, time and mass form an *iceberg model*.

Space = X
Time = Y
Total mass (universe) = Z
And X = Y = Z

In an iceberg model (ice, ocean, sky), Z is ice while the (X + Y) is the ocean and sky, the energy ocean (or the dark energy). Yet, the ice (Z) will melt into the ocean (X + Y) with a ratio W.

When W = 9%,
[(Z – V) x (100 – W) %] /5.33 = V, V is visible mass of this universe.
[(33.33 –V) x .91]/5.33 = V
V= 5.69048 / 1.17073 = 4.86 (while the Planck data is 4.82),
D (Dark mass) = [(Z – 4.86) x (100 – W) %] = [(33.33 -4.86) x .91] = 25.90 (while the Planck data = 25.8)

So, the total dark energy = (X + Y) + [(Z – 4.86) x W %)] = 66.66 + (28.47 x 0.09) = 69.22 (while the Planck data is 69.2)

Except the ‘W’ is a free parameter (testable), the above calculation is *purely* theoretical, and it marches the data to an amazing degree.

This calculation shows that the dark matter is all about the STRUCTURE of the universe; that is, it must have a longer lifetime than the AGE and the CONPONENT (such as proton) of this universe.

Any number can always be reached with zillion different numerological formulas. On the other hand, a single scheme cannot normally reach more than two different numbers. The following is a single scheme. The above calculation is a numerological MIRCLE.

andrew said...

Another paper on parameter bounds on dark matter models from Planck is here.

Tienzen said...