It clearly shows that, without any other intervening factors, black holes will accrete more and more mass . Today, if each galaxy has one black hole in its center, there are an estimated 3.85 trillion black holes in the visible universe, not including even smaller stellar black holes in binary systems. They are widely spaced, and have to travel a great distance over immense timespans before colliding. However, my simulation shows that as they grow the collision rate will increase, and the average distance travelled between collisions will decrease, until a critical point is reached when no travel is required, only growth, between collisions. A chain reaction will occur, and a stationary black hole will absorb matter, grow, and by merely growing will absorb more matter and grow even more, absorbing even more matter in a geometric progression, the process will accelerate until all the matter in the universe is absorbed into one giant black hole, which simultaneously inflates to the size of the visible universe.

I had previously hypothesized that one had to position oneself close to the event horizon where time slows down to observe this increase in rate of infalling matter. However, my simulation shows that this will eventually occur even without any relativistic effect such as time dilation. It occurs simply as the natural growth of the black holes progress.

I had also previously hypothesized that black holes are hollow. Not sure about that now. I think maybe, as the equation shows, the volume increases with the cube of the mass. Therefore by rearranging the formula one can show tha the density increases with the inverse square of the mass. A black hole with sufficient mass might have sufficient volume that the density of material inside would be low enough to permit normal existence, e.g. galaxies, stars, and life. Until the black hole accretes sufficient matter however, the material inside would remain extremely dense. After the initial supernova that forms the black hole, it might be more dense than needed to initiate nuclear fusion reactions. I don't know if it would be dense enough to collapse individual protons and neutrons, I'm still studying the subject. But as the black hole increases in size, these heavy elements might remain even as the average density of the environment decreases. Later on, they might act as the initial dense cores around which galaxies form. Because, as the black hole grows, its density would decrease so much that infalling matter would find itself in a relatively empty space. As the black hole grows it might form this spherical space with a lumpy consistency, with dense nuggets of fused matter surrounded by ionized plasma (what's left of infalling matter after high speed collisions). Later, as the black hole grows even bigger, and gets cooler, electrons are captured by the plasma. Suddenly the entire ball becomes transparent to light, and a flash of intense blackbody radiation is released. As the black hole grows even more over billions of years, this radiation will be stretched and redshifted into the microwave range, hence the cosmic microwave background. After that matter falling into the black hole is no longer ionized and may not experience any harmful effects at all. Therefore, the black hole may only "recycle" a fraction of the matter that falls into it. By recycle I mean rip it apart down to the most basic components, or force some other extreme process on it.

So it becomes an interesting solution of probabilities. How much matter is recycled by each of 3.85 trillion black holes, by the time they inflate and no longer have enough power to perform this function? And how many cycles would the universe have to go through to recycle 100 percent of the matter in it? This is what I'm working towards.