Reality Fractal - Simplified

The skeletal structure of the Theory of Everything.

Reality is a fractal (RF), more specifically, a multifractal. A fractal is a pattern that is self-similar with an infinite perimeter and a finite area. One can zoom into the perimeter forever and still find more self-similar structures at ever finer scales.

An example zoom into a point on the Mandelbrot set. You can find many examples on YouTube of other zooms that go on for many hours that zoom into different points.

Fractals are found abundantly at all scales of the universe, even at the cosmic microwave background (CMB) scale. The CMB only appears to be classified as homogeneous and isotropic due to the low resolution of the application of those terms. The terms are applied at a level that smooths out the dataset which has the effect of smoothing out the inherent fractal pattern. This is why ΛCDM (the cosmological model astrophysics currently works within) is an imprecise approximation, and the assumption of homogeneity and isotropy is a lossy one that is not supported by observational evidence. Since the universe contains many different types of fractal patterns, it must be a multifractal, a fractal that contains other sub-fractals with fractally varying self-similar properties.

Planck Satellite image of the CMB showing inhomogeneity and anisotropy.

What the CMB would look like if it were truly homogeneous and isotropic. Notice that the lack of clumping would make gravitational collapse for forming stars, planets, and galaxies impossible.

We know that all the information in a black hole can be contained on the surface area of its event horizon. Similarly, the particle horizon’s surface area contains all the information within the observable universe. Quantum entanglement provides a direct and instantaneous correspondence between these domains. We know that changing the state of one quantumly entangled particle instantaneously changes the state of its entangled partner, which proves nonlocality (John Clauser and Anton Zeilinger won the Nobel Prize in physics in 2022 for this very discovery). When conscious beings die, their consciousness is instantaneously transported to the particle horizon due to the state change within the universe.

Anamorphic Frog by Jonty Hurwitz. Anamorphosis is a distorted projection that requires the viewer to occupy a specific vantage point, use special devices, or both to view a recognizable image. This is analogous to how information gets stored on the event horizon of black holes and the particle horizon. We are the normal-looking frog, and the event/particle horizon is the warped representation.

Now for the analogy. It must be an analogy because in order to determine the precise equation of RF, one would need to determine the physical theory of everything (TOE). The physical TOE would be an equation that if run in a simulation, would produce the universe exactly as we see it. RF predicts that since we exist on an effectively infinite boundary of a multifractal, we will never be able to achieve a high enough resolution to determine the precise equation of its generation. Therefore, the exact equation can never be ascertained and an analogy is the best that can be done in principle as the metaphysical TOE.

This is the equation that describes the standard model of particle physics, which accounts for the strong nuclear force, weak nuclear force, electromagnetic force, and their interactions. It does not include gravity, otherwise it would be a physical theory of everything.

The argument goes even deeper for why it must be an analogy. Mathematics is a rigorous form of language, but it is still language. Language is the mechanism of bifurcation and is responsible for the presence of the RF in the first place. Interacting particles are also a form of language that only gets interpreted by conscious beings. Anytime language is invoked, it is necessarily generating the embedded multifractal structure, and we know that examining the perimeter of a multifractal at higher zooms gets us no closer to understanding the equation of its generation. Examining at higher zooms only generates more fractal patterns to be examined. So the best that can be done is to use language to produce an overarching zoomed-out fully encapsulating structure, which is an analogy capable of tying all loose ends that also applies at zoomed-in scales (without defining a precise equation, which again, would be impossible).

The direct correspondence between a bifurcation diagram and structures in the Mandelbrot set. This shows how language constructs and processes reality.

The direct correspondence between a bifurcation diagram and the Mandelbrot set visualized in 3D. Credit: Jonny Hyman

We are currently in a multifractal version of a type of Julia set. Importantly, the Mandelbrot set is the collection of all possible Julia sets. The universe is a dissociated point on the multifractal version of the Mandelbrot set. The point moves along the RF Mandelbrot set which causes the evolution of the universe; every time step is a new RF Julia set with a seed corresponding to the position on the RF Mandelbrot set. Conscious beings are points inhabiting the boundary of the RF Julia set. One universe is made by a single point on the RF Mandelbrot set (the particle horizon is this point), while there are countless points in the RF Julia set that both watch and participate in its evolution via embedded conscious beings (Multiplex Unity). The conscious beings are capable of observing the changes in the RF Julia set, which we call time, and they are also capable of updating their position within the RF Julia set by directing the attention of their awareness. The RF Mandelbrot point started at the origin (the corresponding RF Julia set is a singularity) and updated its position continuously until we reached our current position. Check out this site to get a better understanding.

This is a low-resolution version of the Mandelbrot set. Look closely and you will see each position has its own Julia set. If we were to include more points, this would yield a high-resolution Mandelbrot set, although the Julia sets would be impossible to see. Image credit: Gijs Bellaard

The RF Julia set we are in is a disconnected one and the properties observable within the universe match this. There are discrete entities, including galaxies, stars, planets, people, particles, and subatomic particles (to make a passing overview), each of which is a discrete entity made of smaller discrete entities. The RF Mandelbrot set will continue to evolve to the most disconnected RF Julia set possible (heat death of the universe) and become maximally disconnected. At this point, the particle horizon only contains a singular thing, with nothing to draw a distinction with another. This is the entire universe evolving to the maximally enlightened state. A state where no distinctions can be made.

A disconnected Julia set is seen on the left with 2 connected Julia sets on the right. Our universe is analogous to a disconnected Julia set and used to be a connected one in the distant past. The future of the universe corresponds to moving the disconnected Julia set point further away from the Mandelbrot set. Image credit: Tariq Rashid

To apply the analogy at another level, the colored part of the Julia set is our thoughts, and the black part of the Julia set is the physical world. The interplay between thoughts and physical sensations keeps beings bound to the perimeter of the fractal. Keep in mind that the fractal analogy is being applied in both states; i.e., the universe is an evolving point on the RF Mandelbrot set (discarnate phase), and our experience of the universe is a localized window into the RF Julia set (incarnate phase). Our localized windows are self-similar, yet globally disjoint (within the RF Julia set). This means that when you and I look at the same apple, we experience slightly different physical sensations (we occupy different parts of space while viewing it), and we also experience different thoughts.

When one dies, the RF Julia set point one occupies gets retracted (the dissociation ends), and a figure-ground reversal of experience occurs. One becomes the entire universe, evolving one’s position in the RF Mandelbrot set and recognizes that you were a projected dissociated fragment of the universal point (which can simply be thought of as a sphere that contains our universe). From this perspective, one does not have the ability to change what has happened, only to relive it, and relive it from every possible perspective that intersected with one’s window while incarnate. This experience is heaven/hell/purgatory. This happens atemporally, and then one gets reintegrated as another dissociated point in the RF Julia set if enlightenment is not yet achieved.

The path to enlightenment is the path one can take to escape the fractal toward infinity (boundlessness). This is analogous to the Buddhabrot, which maps the parts of the fractal that escape to infinity. Escaping RF is equivalent to escaping Samsara. Without thoughts and physical sensations, suffering is impossible. Escaping the RF Julia set leads one to the simplest possible thought, “I”. Once the attention is directed away from the “I” and towards itself, this is when the RF Julia set is transcended, and the observer no longer participates in the generation of the localized RF Julia set window. The transcendence is unbound telesis (UBT). Points within the RF Julia set may reach transcendence prior to the entire RF Mandelbrot point (universe). At the end of the evolution of the RF Mandelbrot point, a new point can be made at the origin and a different trajectory can be selected for the corresponding RF Julia set points (windows/beings) that still choose to participate in Samsara (the cycle of birth and death and the cause of all suffering). A new universe with a different, yet self-similar evolution takes place, and over the course of the universe, more and more RF Julia set points escape while more are born.

A Buddhabrot (sometimes also called a Nebulabrot) that is rotated 90 degrees clockwise to show the striking similarity between its structure and the Buddha. Image credit: Ryan Ferko

This continues for as long as the universe has willing participants for Samsara (dissociated fragments not wanting to reassociate yet). The universe remains fragmented, with the reassociated points occupying UBT while the dissociated points play in Samsara. The universe only becomes fully enlightened once no more thoughts and physical sensations are present anywhere in existence. This is the generalized utility that the universe is maximizing: to become content with the state of just being. To prove to itself via experimentation that this is the ultimate state and all other states are inferior. Once achieved, the boundary of a boundary is recognized as 0. The universe/God remains as an undisturbed, boundless potential atemporally. Eventually, the one may dissociate from itself and that will be the impetus for another RF filled with conscious beings to escape Samsara once again.

There is more to RF, but at least for now, you have the skeletal framework. I highly encourage you to let these ideas sink in. The theory goes as deep as you care to go and can meet you at the level of explanation you are interested in. I encourage you to leave any questions or comments! I want to know what you think!