This figure below depicts the three regions of the Mandelbrot set (M-Set) as outlined in the quasi-black hole theory. Click on image for full paper: “The Mandelbrot Set as a Quasi-Black Hole”.
The domain of convergence (inner black region) of M-Set is analogous to a black hole. The domain of divergence (outer greyscale region) is analogous to the lesser known photon sphere of a black hole. The boundary that exactly separates the two domains is analogous to the event horizon. This is an event horizon in the truest sense as it exactly separates the converging domain (the contracting part) from the diverging domain (the expanding part) of the fractal geometry. Benoit Mandelbrot referred to this as “S” for separator. The event horizon is the most interesting part of M-Set as that is where all the beautiful fractal patterns are “stored”.
In the M-Set quasi-black hole model, black holes, event horizons and photon spheres are three components of a single (sacred) geometry, which I affectionately refer to as “The OM Particle”. The diverging domain is the expanding side of the event horizon. The converging domain is the contracting side of the event horizon. In this model, expansion and contraction conspire to the creation of the event horizon, where all the interesting fractal patterns emerge. In a similar manner, the universe itself is thought to have an expanding part (space : dark energy), a contracting part (counterspace : dark matter) and an emergent part (visible matter). The emergent part is the event horizon and the event horizon IS the visible universe. This is a huge departure from standard thinking which requires a paradigm shift in thinking. The fractal paradigm offers a new way of thinking about the creation and evolution of the universe and the concept of the “quasi-black hole” is central to this line of thinking.
Here is a link to a gallery of the trajectories (singularities) that come from the domain of divergence of the M-Set model. Notice how these images are very reminiscent of cosmological objects such as planetary nebula, star fields and galaxy clusters. This is not a coincidence if we live in a “Mandelbrot” universe. Everything I know about black holes in the universe, I learned from the Mandelbrot set. And now, I would like to teach you what I have learned.