Category Archives: Dark Matter

Dark Side – Part I

Dark matter has been heavily on the focus now that LHC is starting once again. Matt Strassler is putting up a nice collection of articles about it and how LHC might detect the mysterious matter. So I started to think about how TOEBI handles dark matter and, in future part II, dark energy.

According to TOEBI gravitational interaction is experienced through FTE, you can check up the mechanism from one of my previous post. In this post, I’m going to describe how the mechanism works in a greater scale and hence create the illusion of dark matter. From TOEBI’s point of view, there is two separate phenomenon acting, gravitational interaction enhancement between stellar objects due to circular motion (orbiting) and stellar object rotation and in some cases (e.g. bullet clusters), FTE displacement.

Let’s start with the gravitational interaction enhancement. When I started with TOEBI I erroneously thought that gravitational interaction is solely based on stellar object’s rotation. But I learned that it’s not! However, stellar object’s rotation can distribute to gravitational interaction, just like two spinning particles interacts with each other. When we are talking about rotating stellar objects the spinning rates are way much smaller. Nevertheless, the size of interacting area of stellar objects (cross section) is way much larger.

The ratio of gravitational enhancement due to rotation and “normal” gravitational interaction between Sun and Earth would be \[\frac{G_{Earth}*A_{Sun}*A_{Earth}}{1.9891*10^{30}*5.97219*10^{24}*6.67384*10^{-11}}\]where \(G_{Earth}=0.5*f_{Earth}^2\approx 6.7347*10^{-11}\), \(A_{Earth}\approx 1.275*10^{14}\) and \(A_{Sun}\approx 1.523*10^{18}\). \(G_{Sun}\) is omitted due to its insignificancy. Units are omitted on purpose. So what we got? The ratio is approximately \(1.65*10^{-23}\). We can safely say that the gravitational enhancement effect from stellar object’s rotation is minuscule.

How about stellar object orbiting? The effect from orbiting to the object itself is obvious. In steady orbit, gravitational pull generated by the mechanism  (a.k.a. normal gravitational interaction) is in balance with the force generated by the displacement of incoming FTE. Because the trajectory bends constantly, the larger portion of the incoming FTE is directed to the side opposing the orbit’s center. Higher the object’s velocity and curvature larger portion of the incoming FTE(Ps) go (are deflected) to the “outer” side. In steady orbit, the amount of FTE at the “outer” side matches the FTE density difference generated by the larger gravitating object, e.g. our Sun.

So far so good. But what if we scale up to our solar system level and study the phenomenon described above? For example, we have our Sun and bunch of planets, dwarf (always funny) planets and asteroids… which are orbiting the center of our galaxy. However, Sun rules the mass of our solar system. Now we are approaching the interesting part. The amount of FTE(Ps) deflected by our solar system, or let’s just say deflected by our Sun is massive and those FTEPs goes “out” most heavily in a plane. Actually that plane effect explains partially why rotating galaxies (or solar systems) are more or less discs or are forming into that shape. Can you see what’s coming…?

Every star near the central bulb on a rotating galaxy distributes on this deflection of FTEPs, larger the orbit’s radius higher the star’s orbital velocity, hence higher the deflected FTEPs’ velocity. Stars in a galaxy arms have even bigger orbital radius and they pass on those previously deflected FTEPs. However, based on observations, dark matter (= FTEPs) doesn’t go on without any interactions. At some point, their velocity slows down and areas with higher FTE density emerge, higher the FTEPs’ velocity larger the distance FTEPs can travel radially before they start to clump.

Higher FTE density means in practice that the stars on those galaxy arms experience higher gravitational interaction than they should based on purely the visible matter. Described phenomenon is behind the flat velocity curve on those those rotating galaxies.

I’ll continue later.