The Philosophy of Fractals Rick Delmonico the Fractal Nature of Living Systems
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The Philosophy of Fractals Rick Delmonico The Fractal Nature of Living Systems In the graph shown above. The circle is the full size of the universe. The spiral line is what we see when we look out into space, spiraling back into time to a smaller and smaller universe. Space may be spinning in relationship to time, also notice the golden ratio. It looks as if space/time may have a fractal dimension of 1.618. At the center of the graph is the beginning of time. If you study this model closely, you will notice that space expanded at a rate far greater than the speed of light. Originally drawn in 1997. In the beginning unity. The distinction between the one and the many or inside and outside could be visualized as a M ö bius transformation of a sphere, Klein bottle, or maybe a torus or double torus, expressing itself as one, then two, then three dimensions. There are many opinions, and many clues as to how this might be happening, but nothing conclusive. The geometry and dimensions are some variation of emergent properties, repeated at all scales. Folder of all support documents. Let's say we set up three boxes to isolate two measurable qualities of an electron. If there are two spin geometries, one being a spin about the center axis and the other fluctuating between the center point and the surface of the torus or sphere so that if you isolate the geometry of the center spin in box A and then isolate the other component spin which is fluctuating between the center and the surface in box B you would still have half the remaining orientation being opposite at box C, (which measures the same thing as box A) once again. This is similar to the measurement problem of quantum mechanics. Measurement coherence and entanglement are intimately related. Truth is the highest energy state of a system. Time may be the process of moving from order to randomness. The past has higher order than the future. This is different than a computer running a computation, unless the instruction set includes entropy. The universe is expanding. Into what? A higher dimension? In a two dimensional model of the universe, (the skin of a balloon), as the balloon expands, we do have a dimension at a right angle to the expanding skin. Is this time? Is the point at the center of the balloon the beginning? Is the skin of the balloon a fractal or a hologram? What is randomness, the opposite of truth? The structure of the universe is a computational geometry that is fractal in nature. If the universe is made of information then, we are moving from a state of profound truth to a state of meaningless gibberish. This is the second law of thermodynamics. We are in the gray region between truth and uncertainty. Our position in the computational geometry has something to do with scale. What is most important is meaning and relationships nested into context, (story, actors, and stage). It may be fluctuation of probabilities or fractal reiterations with varying degrees of freedom in an information field stored holographically. Is time the framework in which choices are made? Could it be the vehicle for our fractal journey? What we are talking about is a fractal probability distribution of space/time. Save your breath sonny, it's fractals all the way down. The difference between unity or singularity and infinity or infinite regress is the same as the difference between static truth and dynamic variation, (potential as an infinite recursive iteration). Any attempt to explain the idea of truth, will result in an explanation that requires an explanation. This continues to infinity as a logical monster. Truth has a static quality and perfect symmetry, it looks the same from every angle, at every scale. In a dynamical system, truthfulness will fluctuate. Variation is dynamic, being neither perfectly symmetrical nor purely random. In the hierarchy of information, truth has the most potential and uncertainty has the most variation. The connection that completes the circuit would look something like deception (self referential randomness) if you are moving towards chaos, and love or harmony if you are moving towards truth. Our connection to this circuit is through appreciation of beauty, and desire, the polarity or direction depends on how you understand or trust the information. Love is the purest connection moving to the highest energy state and deception (self referential randomness) pulls you into the darkness, the dynamics of qualia. Knowledge is the physical manifestation of consciousness. If information is stable then knowledge is fairly stable and what is fluctuating is understanding, this division or variation of all things is in "understanding" and the unification of all things is this thing we call "love." While this may seem strange, the information field appears to be conscious and if this is the case then we cannot rule out the idea of a higher purpose. This higher purpose would most likely have something to do with love. Matter and energy cannot be created or destroyed and the same is true for information. Matter has a material quality that emerges out of the information field. Information has a spiritual quality with variation emerging from the singularity. In the digital world nothing truly exist unless it exist in at least two places. Our connection to the information occurs at a deeper level of reality. Profound absurdities link perception and imagination. If we take the intangible and encapsulate it within the vessel of reason, then we turn it this way and that looking for clues, we may discover something unexpected or we may have to discard the thing and move on. There is an awful lot to sift through and all too often no clear direction, we do this however because we must. If we attend a moment, it is given value as a consequence of memory and if intention is placed upon it, the value fluctuates as it branches out into the future as possibilities. In this journey of life we have been set upon, every choice becomes a fork in the road. The destination of the branches in front of us are real but all the "other branches behind us" (the choices we did not make) are imagined. The history of a black hole is written or smeared upon its rippling surface, called the event horizon. The observable universe may be the rippling skin of the real universe. With each quantum tick of time the the skin or membrane of our universe gets bigger. Can the past, present and future appear together at a certain scale? Einstein tells us that the distinction between the past present and future is a stubbornly persistent illusion. This would suggest that the universe is like a set of Russian dolls nested inside of one another. They all exist but we are stepping from one to the next with every tick of time. From a highly energetic and highly ordered luminous state, into cold dark chaos. At the micro scale, time is an emergent property, at the macro scale, time appears to be a fundamental feature. Time, gravity, the stretching out of space and the second law of thermodynamics are linked in a manner which has yet to be described. If the expansion of the universe is speeding up, this could mean that the degrees of freedom in the outer fractal hisrarchy is increasing (Fredkin's paradox). If the nature of the universe is indeed digital then what the speed of light defines for us may be the processor speed. If it is a hologram with fractal features, time will have nested cycles. The resolution of a system defines the limits of any value assigned to it. Infinity could be the changing value inside of a cycle, possibly fractal reiterations. At the finest scale, we end up back at unity, each point represents the whole. Let's assume for a moment that at the singularity of the big bang, the speed of light was infinite. We will ignore the prime mover for the moment and focus on what happens to light as space expands. If space unfolded like an infinite set of Planck scale tiles, the speed of light in the first tile would be infinite, at the next iteration, it would be less, and so on. the slowing of the speed of light would follow a power scaling law. Time is an emergent property, and so is space, and so is everything else. The unfolding of these tiles could be a fractal probability distribution and gravity cannot reverse the unfolding. it just slows it down in a relative manner. At the singularity of a black hole, entropy has not been reversed it has been repositioned or redistributed. Gravity may be a two dimensional phenomenon. It could also be a one dimensional fractal curve occupying three dimensions which in musical terms has a tension and release as it repositions into the second and third dimension. If we are talking about information, this unfolding would resemble the computational arrangement of a very simple instruction set that grows in complexity. Did the universe boot itself up? Are physical laws part of the universe, as opposed to standing outside it? Are the rules governing the universe emergent? We cannot say at this time which fundamental feature the universe possesses. The most improbable possibility contains the most information. If I am talking about a four legged mammal that quacks, "quacks" contains the most information because there are many four legged creatures and there are many mammals but only one creature quacks.