Thank you for this challenge, bkuehlhorn.
First off, let's agree that the material contained with the Sun is A: enormous, and B: mostly very light-weighted (hydrogen, helium).
This is a rather clear indication that very little of the heavier-weighted material (resulting from the Nova that established the starting conditions some 4.6 billion years ago) ended up being absorbed by the central entity in the Solar System.
The center of mass is not an actual entity. You are correct that it is very close to the Sun, sometimes it is found within the Sun's boundary. This entity is not very interesting to me because the Sun is the single star in our system. A binary star system and the barycenter, now, that is interesting to talk about, but let's not do that this time.
What I see you neglect is the speeds we are involved in. There are four motions and they are vital to understand the outcomes. Here they are with their speeds in increasing hierarchy.
1. Earth's mass (spin)
2. Earth's revolution in the Solar System (spin)
3. Earth's dancing along in the circular motion of the Milky Way (spin)
4. Earth's speeding along in the single direction that the Milky Way is moving into (no spin)
The fastest motion we are involved in is that Fourth Motion, a straight line away from where the original materialization process started, 13.8 billion years ago. It never stopped. If we neglect this fastest motion, then we cannot understand the big picture of all motions we are involved in.
That is very important information. The spin is a vital aspect on how matter collects itself in a location. Meanwhile, we (Earth, Solar System, Milky Way) are speeding in a single direction, collectively, and there is no spin involved at that level (other than the Milky Way itself spinning).
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The Milky Way disk is a 3D reality, but it has an (imperfect) symmetrical reality to it as well that we can describe as 2D (there is an up and down to the galaxy that can be declared a mirror).
Let's take the Black Eye model in which we have that enormous gravitational depression in the center. We don't care about photons, because they get swatted out of the way. Let's focus on masses (planets, stars) that happen to get trapped inside the Wall of this deeply gravitational Eye.
These masses will get tumbled big-time inside the Eye, torn to pieces. These pieces will either get thrown back into the galactic disk where it will be difficult to detect them), or they end up thrown out via the spouts.
Net-zero is the word to understand here. Even the greatest depression will have a net-zero spot in its exact center. This spot will not have an attraction in any direction.
Yet instead of seeing this net-zero spot as indeed a spot, it is actually a linear reality: this net-zero line stands perpendicular on the galactic disk. It is immaterial because it is the line where gravity is perfectly in balance in all side-way directions. Yet matter that got shredded in the Eye can indeed start following these' vents.'
So, the spouts are part of the net-zero alignment that each spinning disk will have.
Our Solar System? Not sure if there is any data on any spouts, bkuehlhorn. Do you have any data on it? I suspect that the Sun is too enormous for any vents to be detected.
Still, we do live in a dynamic place. Most planets are found along the path of the Zodiac, but not everything behaves the exact same way.
Do you have anything on solar-system spouts? I have never heard of them. I am curious if anyone ever put their telescope in those venting directions to spot any faint 'star dust'. Whatever is out there, I doubt it would be anything much.
