## 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.

#### 3 comments:

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...

Thanks for the link.
In their (Jussi Valiviita, Elina Palmgren) analysis, Dark-sector interaction (energy transfer from dark matter to dark energy), they concluded {in the phantom models an interaction rate higher than 10% of the expansion rate, Γ/H0 = −0.16 (−0.12), led to an improvement of χ 2 by 3.9 (2.2) with CMB+BAO (CMB+BAO+lensing) data.The non-interacting model lied outside of the 95% CL interval ...}.

Their conclusion is a good supporting point to my W = 9% in my dark energy/dark matter calculation.

The key point of my calculation is that that framework gives rise to all calculations:
Alpha equation,
Vacuum Boson mass = 125.46 Gev
G-string language, etc.

Being right once could be just happenstance. Being right every time at every point, it cannot be a coincidence.