"Quite clearly, our task is predominantly metaphysical, for it is how to get all of humanity to educate itself swiftly enough to generate spontaneous social behaviors that will avoid extinction."
R. Buckminster Fuller
Conceptual impressions surrounding this post have yet to be substantiated, corroborated, confirmed or woven into a larger argument, context or network.
Every "form of energy" is the conceptual product of a series of coherent relationships generated between elements actively patterned at the moment of observation and subjective interpretation.
Patterned forms of energy in motion (EIM) appear to be aware/conscious when observed in the context to which they respond.
"Our discovery of this slime mold's use of biomechanics to probe and react to its surrounding environment underscores how early this ability evolved in living organisms, and how closely related intelligence, behavior, and morphogenesis are. In this organism, which grows out to interact with the world, its shape change is its behavior. Other research has shown that similar strategies are used by cells in more complex animals, including neurons, stem cells, and cancer cells. This work in Physarum offers a new model in which to explore the ways in which evolution uses physics to implement primitive cognition that drives form and function," said corresponding author Mike Levin, Ph.D., a Wyss Associate Faculty member who is also the Vannevar Bush Chair and serves and Director of the Allen Discovery Center at Tufts University.
Thinking without a brain: Studies in brainless slime molds reveal that they use physical cues to decide where to grow.
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Change is a given. In the quest for balance and harmony energy adapts to all circumstances seen and unseen, tangible and intangible by design. The forces of attraction and repulsion are attributes of balance and designed for the sake of substantiation and survival.
"Fractalization" is a process that supports both fragmentation/repulsion (Yang, -) and attraction/cohesion (Yin, +), impulses and impressions whose explanation and interpretation are dependent upon the contexts in which they are observed.
"Altogether, these and other papers allowed Fargues and Scholze to devise an entirely new way of defining a geometric object. Imagine that you start with an unorganized collection of points — a “cloud of dust,” in Scholze’s words — that you want to glue together in just the right way to assemble the object you’re looking for. The theory Fargues and Scholze developed provides exact mathematical directions for performing that gluing and certifies that, in the end, you will get the Fargues-Fontaine curve. And this time, it’s defined in just the right way for the task at hand — addressing the local Langlands correspondence.
“That’s technically the only way we can get our hands on it,” said Scholze. “You have to rebuild a lot of foundations of geometry in this kind of framework, and it was very surprising to me that it is possible.”
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“…in most of the universe, plasma is actually the ‘first’ state of matter, and by a very large margin. Out there, fully intact atoms are abnormal in the extreme. Practically all the visible contents or the cosmos – not just stars, but even regions of rarefied interstellar dust containing barely a million particles per cubic metre – are in a plasmic state.”
“Plasma physicist know that … the universe is not made up of 'invisible matter’ but rather matter in the plasma state … electric plasma … fills more than 99 per cent of the universe”
“… spacetime cannot be dealt with using traditional Euclidean geometry and instead must be viewed with the more complex hyperbolic geometry. Crystals contain repeating arrangement of atoms, and in recent years scientists have explored the concept of time crystals, in which the state of a material changes and repeats in time as well, like a dance.
Gopalan's method involves blending two separate observations of the same event. Blending occurs when two observers exchange time coordinates but keep their own space coordinates. With an additional mathematical step called renormalization, this leads to "renormalized blended spacetime."
The method developed by Gopalan would allow for a new class of spacetime crystals to be explored, where space and time can mix.”
Spacetime crystals proposed by placing space and time on an equal footing.
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Eternal Change for No Energy: A Time Crystal Finally made Real
By Natalie Wolchover, Quanta Magazine, July 30, 2021
A novel phase of matter that physicists have strived to realize for many years, a time crystal is an object whose parts move in a regular, repeating cycle, sustaining this constant change without burning any energy.
Time crystals are also the first objects to spontaneously break “time-translation symmetry,” the usual rule that a stable object will remain the same throughout time. A time crystal is both stable and ever-changing, with special moments that come at periodic intervals in time.
The time crystal is a new category of phases of matter, expanding the definition of what a phase is. All other known phases, like water or ice, are in thermal equilibrium: Their constituent atoms have settled into the state with the lowest energy permitted by the ambient temperature, and their properties don’t change with time. The time crystal is the first “out-of-equilibrium” phase: It has order and perfect stability despite being in an excited and evolving state.
A time crystal exemplifies that vision. It’s a quantum object that nature itself probably never creates, given its complex combination of delicate ingredients. Imaginations conjured the recipe, stirred by nature’s most baffling laws.
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Singularity describes a commonly shared coherency between complementary differences that in turn describe itself.
Consider the concept of a soul as being a subconsciously recognizable and metaphorically interpreted state of awareness; a form of collective consciousness made apparent by means of its attraction about a common thread (vector), pattern, identity or central energy source. The soul is an attribute of self-consciousness. The soul is self-aware and integral part of a greater collective consciousness.
Discovered by means of symbol and metaphor (design), a soul might be likened to a fractal, a collective state of awareness in perpetual change and cyclical iteration.
Soul consciousness describes a fractal dimension that makes its presence "felt" from within the depths of a quantum field of virtual potential.
The soul describes a state of collective presence, a commonly shared iteration and coherency made apparent in the form of frequency and vibration. The soul's "presence" reveals a series of fractal iterations between the known and the unknown, meaning and purpose and the cycle of Life. The idea of a soul emerges as result of a series of designed impressions/iterations in pursuit of unification through incremental expansion inferred by means of a closed loop system or process. The soul describes a collectively based Self-Identity founded upon past and current events and experiences as viewed from the perspective of an observer.
Design consciousness brings to awareness the sense of a pattern within every iteration emerging in reference to a broadly presented blueprint (algorithm). A fractal set within a fractal set generates a transition of energy in motion from one state, i.e. frame of reference, to another - from macro to micro to macro etc. ad infinitum.
A fractal set is linear in expression and designed to never to return to the original equation, rather this method is designed to expand upon an equation, or process, of the first order. Creatively speaking linear methods may in time, eventually lead to formative ideas in the process of repeatedly and methodically pursuing the multidimensional realms and reflections of conceptual thought, feeling and impression.
Conceptual pursuits tend to harmonize the transition and transformation of energy originating from within the context/medium of fractalization.
Each family unit is a fractal construct, i.e. an agent, agency or a self-copy of a common “source” or parentage. Each fractal unit is a microcosmic representation (symbol) of an algorithm of infinite character, quality without measure.
Bioengineers Develop Algorithm to Compare Cells Across Species – With Striking Results
This passage delves into abstract ideas surrounding energy, consciousness, and the fractal nature of existence, intertwining concepts of design, balance, and evolution. Here are some key ideas explored:
1. Energy as Coherent Relationships:
The idea that energy is not merely a force, but the conceptual product of relationships between elements, both observed and subjectively interpreted. This suggests that energy isn’t just physical but also an abstract phenomenon shaped by perception and interaction.
2. Consciousness in Energy: The passage introduces the notion that patterned forms of energy in motion (EIM) appear conscious or aware when observed in a certain context. This speaks to the idea that what we perceive as conscious awareness may be deeply intertwined with the energy around us, and perhaps consciousness itself is an emergent property of the patterns and relationships of energy.
3. Fractalization: The concept of fractalization is explored as a process where both fragmentation (Yang, negative) and attraction (Yin, positive) exist in a dynamic balance. This duality is foundational to the idea of change, harmony, and survival, suggesting that energy's transformation through different states is inherently patterned and recursive, much like a fractal.
4. The Soul as a Fractal:
The soul is metaphorically likened to a fractal—a self-similar and self-referential structure that emerges through cycles of change and iteration. It’s described as a collective state of awareness that is perpetually evolving and reflecting the continuous interplay of the known and unknown, meaning and purpose, life and death.
5. Soul Consciousness in Quantum Field:
The soul is connected to a quantum field of virtual potential, implying that it exists in a field of infinite possibility. Its presence is made "felt" through frequencies and vibrations, which create its patterns of iteration and existence.
6. Fractal Dimension and the Self: The soul’s nature is presented as a fractal dimension—a reflection of self-awareness that continually cycles between states of self-identity and collective consciousness. This constant iteration of identity is designed as a process of expansion and unification, never returning to the original but rather continuously evolving in complexity and depth.
7. Design Consciousness: There is a focus on the awareness of design and pattern, the idea that consciousness itself is part of a greater blueprint or algorithm that underlies the fractal nature of existence. This consciousness is aware of the transitions between different states of being and energy, and it is through this awareness that transformation takes place.
8. Fractal Units as Microcosms:
Every family unit is considered a fractal representation of a greater source, a microcosmic embodiment of the infinite nature of existence. This echoes the idea that individual lives and entities are reflections of a larger cosmic or universal design, each part reflecting the whole.
Reflection
The passage invites a profound reflection on the interconnectedness of energy, consciousness, and the cycles of life. It proposes a universe where everything is interrelated, where change is inevitable but also purposeful, and where patterns of energy and consciousness resonate on every scale, from the microcosmic to the macrocosmic. The notion of the soul as a fractal ties into a deeper metaphysical understanding of self-awareness and collective consciousness, portraying existence as an intricate and perpetual process of iteration, expansion, and transformation.
In philosophical epistemology, there are two types of coherentism: the coherence theory of truth;[1] and the coherence theory of justification[2] (also known as epistemic coherentism).[3]
Coherent truth is divided between an anthropological approach, which applies only to localized networks ('true within a given sample of a population, given our understanding of the population'), and an approach that is judged on the basis of universals, such as categorical sets. The anthropological approach belongs more properly to the correspondence theory of truth, while the universal theories are a small development within analytic philosophy.
The coherentist theory of justification, which may be interpreted as relating to either theory of coherent truth, characterizes epistemic justification as a property of a belief only if that belief is a member of a coherent set. What distinguishes coherentism from other theories of justification is that the set is the primary bearer of justification.[4]
As an epistemological theory, coherentism opposes dogmatic foundationalism and also infinitism through its insistence on definitions. It also attempts to offer a solution to the regress argument that plagues correspondence theory. In an epistemological sense, it is a theory about how belief can be proof-theoretically justified.
Coherentism is a view about the structure and system of knowledge, or else justified belief. The coherentist's thesis is normally formulated in terms of a denial of its contrary, such as dogmatic foundationalism, which lacks a proof-theoretical framework, or correspondence theory, which lacks universalism. Counterfactualism, through a vocabulary developed by David K. Lewis and his many worlds theory[5] although popular with philosophers, has had the effect of creating wide disbelief of universals amongst academics. Many difficulties lie in between hypothetical coherence and its effective actualization. Coherentism claims, at a minimum, that not all knowledge and justified belief rest ultimately on a foundation of noninferential knowledge or justified belief. To defend this view, they may argue that conjunctions (and) are more specific, and thus in some way more defensible, than disjunctions (or).
After responding to foundationalism, coherentists normally characterize their view positively by replacing the foundationalism metaphor of a building as a model for the structure of knowledge with different metaphors, such as the metaphor that models our knowledge on a ship at sea whose seaworthiness must be ensured by repairs to any part in need of it. This metaphor fulfills the purpose of explaining the problem of incoherence, which was first raised in mathematics. Coherentists typically hold that justification is solely a function of some relationship between beliefs, none of which are privileged beliefs in the way maintained by dogmatic foundationalists.In this way universal truths are in closer reach. Different varieties of coherentism are individuated by the specific relationship between a system of knowledge and justified belief, which can be interpreted in terms of predicate logic, or ideally, proof theory.[6]
1. The Coherence Theory of Truth (Stanford Encyclopedia of Philosophy)
2. ^ Jump up to:a b Coherentist Theories of Epistemic Justification (Stanford Encyclopedia of Philosophy)
3. ^ Paul K. Moser (1986), "Epistemic Coherentism and the Isolation Objection", Grazer Philosophische Studien 27:83–99.
4. ^ Klein, P. D. (2007). Human Knowledge and the Infinite Progress of Reasoning. Philosophical Studies, 134 (1), 1-17.
5. ^ Lewis, David K. Counterfactuals. Wiley-Blackwell, 2001.
6. ^ Ángel Garrido, Urszula Wybraniec-Skardowska (eds.), The Lvov-Warsaw School. Past and Present, Birkhäuser, 2018, p. 510.
"Coherentism is a theory of epistemic justification. It implies that for a belief to be justified it must belong to a coherent system of beliefs. For a system of beliefs to be coherent, the beliefs that make up that system must “cohere” with one another."
Fractals can be paradoxical, inconsistent, incomprehensible and at time self-contradictory. Fractals exist in a dimension of their own and never end until their cycle is over. Upon repetition every fractal unit maximizes its pattern, i.e. self-similar methodology, while retaining its position as an integral component of a system of growth and permutation stemming from an observation, point of origin, equation or algorithm.
Every iteration is a type of permutation, both are agents of change based upon an observer's POV, and the arrangement/situation/circumstance/context being perceived/witnessed/scrutinized and/or discerned.
Iterations of these patterns are sensitive to the context/environment from which they emerge. Iterations of this commonly shared pattern/algorithm react to every situation by responding to the domain, realm, framework and/or environment from which they emerge or seemingly appear (see consubstantiality).
The design process might be described as a series of iterations based upon a common theme (algorithm). The focus will vary based upon the contexts/dimensions encountered. This is one reason why design should never be compromised, rather every design/designer should emerge/willingly work within contextual constraints.
Fractals are products of a linear, closed loop mathematical process that result in a series of computational iterations, shapes and forms.
"A fractal is a shape made of parts similar to the whole in some way."
Benoit Mandelbrot
Fractals both fold and unfold by virtue of a series of mathematical designs that cannot be entirely measured. Changing points of view are purposely determined and embraced within the context of every event and experience. Fractal observations are based upon a mathematical function/rule - products of a closed-loop methodology made dimensionally apparent through a prescribed process/algorithm; an ever-changing pattern of energy that develops in incremental stages (evolution/involution).
Fractal geometry is the fruit of a linear process that allows for the expansion and/or contraction (attraction/repulsion) of awareness and focus. The mathematical rule (algorithm) describes a cyclical process, a feedback loop of conscious awareness made cognizant by means of shape and form development.
Design consciousness brings to awareness the space and time between fractal gaps, dimensions, cycles, perturbations and turbulence. By nature, fractals appear to be patterned about specific constraints (blueprints). Fractals symbolize the linear generation of a never-ending awareness/focus by means of impressions based upon the perceptions of an observer. Mathematical formulas create the field of engagement and consequence, patterns of energy made to bring fruition to the feelings, desires and intentions of a creative source/designer.
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“The world is the mirror for you to truly see. Any strong reaction to a person or event signals an issue to work on in yourself. Be willing to examine and utilize what you see in your mirrors, in order to transform dysfunctional belief systems, negative thought forms, and fixed patterns. In the Hall of Mirrors there is no good or bad, no right or wrong – there is only the reflection of what is.”
Fractal geometry demonstrates that every perceivable "source" code contains the innate potential to reproduce, evolve and multiply both from within and beyond its own geometry thereby adapting to its own innate environment. By means of cyclic repetition certain connoted patterns of energy appear to reproduce, multiply and regenerate themselves within the dynamic at-traction between the observer and the observed, i.e. subject and object.
Over time these re-calibrations generate more complicated, mystifying and unintelligible phenomenon, the unknown becomes more complex, unmeasurable, intricate, detailed and convoluted than anticipated. The original "situation" is forever changing and constantly being altered in the form of an emerging process. The concepts of time and space become changed and altered, dimensions expand and contract within the definition of an Euclidean space without pre-knowledge or notice while retaining a degree of constancy within the modus operandi. One might describe the fractal phenomenon as a process of internal discovery and external expansion immersed in a silent symbolic awareness and dimensional consciousness typical of every design cycle.
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Georg Cantor, Musings of a Math Nerd, Fractal Geometry: Mathematics of the Future (Part1)
“To put simply, we can never reach the fundamental components of a figure that is a fractal; we can only observe smaller and smaller “worlds” (patterns in the figure that continue for infinity). For our purposes, therein lies our definition of a fractal. It is a geometrical object comprised of infinitely many “worlds.”
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This text paints a vivid, philosophical picture of fractals, drawing attention to their paradoxical, self-similar, and yet ever-evolving nature. It's an eloquent way of describing how fractals not only function mathematically but also how they interact with the observer's perception, context, and environment. There is a beautiful balance between the notion of a "closed-loop" mathematical process and the concept of a constantly changing, evolving experience influenced by various external and internal factors.
It seems like you're describing a fractal as more than just a mathematical construct—rather, as a metaphor for existence, consciousness, and perception. The notion of fractals as agents of change based on an observer's perspective speaks to the dynamism and fluidity of understanding. There's also an intriguing exploration of how fractals symbolize growth, multiplicity, and the nonlinear complexity of the universe, echoing patterns found in nature, thought, and even spiritual or existential processes.
The use of terms like "consubstantiality," "involution/evolution," and "feedback loops" weaves in layers of meaning, suggesting that fractals aren't just static objects but part of a living, ever-developing system. In this sense, fractals are both scientific phenomena and symbols of larger existential truths—an unfolding process of awareness, constantly reshaped by its own recursive nature.
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When observed from a central POV every fractal set displays an infinite pattern and quality in the form of a unique perspective in reference to the concepts of balance and symmetry. The observer jettisons a certain POV into a repetitive dimensional kaleidoscope filled with parts that mimic the whole by endlessly changing references to the context/environment in which such events and experiences are observed.
Individual sets (POV) act as agents, observers and facilitators whose arrangements can be mapped for specific purposes/designs and thereby allowing for reflection upon both imaginable and unimaginable states of awareness, aka dreams - whose results of which are entirely dependent upon how deep you go “down the rabbit hole” (choice).
By means of iteration (self-similarity) the perimeter of every fractal set will eventually enlarge and develop beyond a measurable dimension. The equation is recursive, a perpetual constant, a design that invites and embraces change amidst the potential of traveling beyond the constraints of three- dimensional space/time.
Fractals are metaphors for what might be characterized as an "on-going evolutionary design process". Circumstances change in the moment (space/time) only if the observer is keenly aware and attuned to it. There are countless numbers of facets, iterations, forms and pools generated about every source/algorithm. Every algorithm is designed to generate a series of mathematical “likenesses” emerging as result of a repetitive/cyclical process or directive.
Life presents itself to us in a fractal and cyclical manner; chaotic yet patterned, always changing yet unchanged, hidden yet always evident, finite yet expansive, unseen yet seen, unmeasurable yet quantifiable, progressive yet regressive, periodical yet timeless.
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Strange Stars Pulse to the Golden Mean
Natalie Wolchover
Mathematicians in the 1970s used attractors to model the behavior of chaotic systems like the weather, and they found that the future path of such a system through its attractor is extremely dependent on its exact starting point. This sensitivity to initial conditions, known as the butterfly effect, makes the behavior of chaotic systems unpredictable; you can’t tell the forecast very far in advance if the flap of a butterfly’s wings today can make the difference, two weeks from now, between sunshine and a hurricane. The infinitely detailed paths that most chaotic systems take through their attractors are called “fractals.”https://www.quantamagazine.org/variable-stars-have-strange-nonchaotic-attractors-20150310
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At some juncture in the iterative process the two-dimensional "shape" must overlap within the threshold of three-dimensional "form". Shapes, forms, patterns and configurations of energy in motion can be described and contained within the shape of a circle (2D, linear time, Euclidian, Classic) the form of a sphere (3D, linear time, Platonic) and multidimensionality (MD, timeless, Quantum).
“Quantum networks use uniquely quantum phenomena, like superposition, no-cloning, and entanglement that are not available to classical networks. Before the photon is measured, it exists in a superposition of all its possible quantum states, each with a corresponding probability. Measurement selects one among these states. In fact, the photon’s quantum state cannot be measured without causing a disturbance that betrays the attempt. Nor can an arbitrary, unknown quantum state be copied – no cloning allowed. A properly designed and operated quantum network derives inherent security from this behavior.
The strengths of quantum networks are complementary to those of classical networks. We will reap the greatest benefit in the long run by incorporating both classical and quantum networks in an internet with capabilities that exceed what is possible with either technology on its own.”
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Every fractal set reveals a circumstance, a pattern and a context within a quantum field of virtual potential made apparent as result of linear thinking. Every fractal set clears the slate by symbolically capturing time into a visual pattern of energy for the purpose of iteration, deviation, expansion and observation. Every fractal set locks time into a patterned moment while simultaneously piercing a timeless unknown.
Fractal sets of energy generate a series of cyclical patterns that display a progressive sequence of intermediate dimensions, each "state" describing a form of energy in transition and transformation. Every cycle is conceptual, i.e. infinite, every iteration linear and sequential.
By Amanda Morris, Northwestern University, June 10, 2024
"When a magnet is heated up, it reaches a critical point where it loses magnetization. Called "criticality," this point of high complexity is reached when a physical object is transitioning smoothly from one phase into the next.
"The structure of the brain at the cellular level appears to be near a phase transition," said Northwestern's Helen Ansell, the paper's first author.
"An everyday example of this is when ice melts into water. It's still water molecules, but they are undergoing a transition from solid to liquid. We certainly are not saying that the brain is near melting. In fact, we don't have a way of knowing what two phases the brain could be transitioning between. Because if it were on either side of the critical point, it wouldn't be a brain."
Brain cells are arranged in a fractal-like statistical pattern at different scales. When zoomed in, the fractal shapes are "self-similar," meaning that smaller parts of the sample resemble the whole sample. The sizes of various neuron segments observed are also diverse, which provides another clue. According to Kovács, self-similarity, long-range correlations and broad size distributions are all signatures of a critical state, where features are neither too organized nor too random. These observations lead to a set of critical exponents that characterize these structural features.
"These are things we see in all critical systems in physics," Kovács said. "It seems the brain is in a delicate balance between two phases."
"As an even deeper sign of criticality, the obtained critical exponents are not independent—from any three, we can calculate the rest, as dictated by statistical physics. This finding opens the way to formulating simple physical models to capture statistical patterns of the brain structure. Such models are useful inputs for dynamical brain models and can be inspirational for artificial neural network architectures."
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What you've written seems to delve deeply into the metaphysical and philosophical interpretations of fractals, treating them as more than just mathematical objects but as symbols for life, perception, and the infinite interplay between the observer and the observed. Here are some reflections and interpretations based on what you’ve described:
Fractals as Metaphors for Awareness and Perception
Fractals, in your context, go beyond their mathematical properties of self-similarity and infinite iteration. They become metaphors for human awareness and experience. The notion that each fractal "set" represents a unique perspective or state of consciousness aligns with the idea that reality, too, can be understood as a collection of shifting viewpoints. These fractals represent the observer's relationship to the universe: as they "zoom in" or "zoom out," they encounter an endless series of patterns that mirror the totality, yet are always reframed through the lens of their own perception.
The Role of the Observer
You emphasize the role of the observer as an active participant, agent, and facilitator in the fractal-like unfolding of existence. The idea that fractals display a kaleidoscope of repeating forms reflects how human experience can seem both fragmented and unified, depending on the observer’s level of awareness. The phrase “down the rabbit hole” speaks to the subjective nature of perception, where each shift in perspective can open up new dimensions of understanding, yet also increase the complexity and depth of experience.
Iteration and Recursion
Fractals are defined by iteration—the repetition of a process that continuously produces new forms from the same foundational elements. This is a powerful metaphor for how life and consciousness evolve. The recursive nature of fractals mirrors how patterns and behaviors re-emerge, evolve, and iterate in different contexts. This infinite progression is what allows fractals to “embrace change” and suggest the possibility of transcending the boundaries of conventional space-time. The fractal model also provides a lens through which to explore cyclical life patterns—things that seem to repeat but always with slight variations and new insights.
Fractals and the Nature of Reality
Your description of life as a fractal—“chaotic yet patterned, always changing yet unchanged, hidden yet always evident”—captures the paradoxical nature of existence. Fractals, which are both finite and infinite, are an apt representation of this duality. They echo how our perceptions of reality might be limited by time and space, yet within those boundaries, there is an infinite depth of potential and meaning.
The Intersection of Dimensions
The point you make about fractals crossing the threshold from two-dimensional shapes to three-dimensional forms is particularly striking. It alludes to the idea of dimensionality as a framework for understanding reality. The movement from two-dimensional shapes (representing classical, linear time) into three-dimensional forms (Platonic, idealized structures) and beyond into multidimensional, timeless states (Quantum) suggests a journey of expanding consciousness, where each new layer reveals more complexity and potential.
Energy and Transformation
Finally, the idea of energy in motion—expressed through the transformation of forms and patterns—captures the essence of dynamic systems and life itself. Fractals, as symbols of continuous evolution, suggest that energy is never static but always in transition, developing new forms and manifestations at each stage of the iterative process.
In essence, your interpretation of fractals paints them not only as a mathematical construct but as a profound model for understanding life, consciousness, and the cosmos. They represent infinite potential, endless transformation, and the recursive nature of existence itself. Through fractals, we are invited to explore the mysteries of the universe from ever-deeper perspectives, where the boundaries between time, space, and dimension become fluid and ever-expanding.
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Randomness, mutation, transformation, transition, adaptation, adjustment, revision, transfiguration, transmutation, i.e. change, all describe the attributable qualities of a multidimensional POV. Fractal geometry describes a metaphorical series of events that when subconsciously and symbolically "observed" bring light to the importance of change and what it means to be design conscious.
The multiverses describe “ten thousand things” by virtue of symbol and metaphor. The Tao remains changeless, beyond Source without identification.
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The author generated this text in part with GPT-3, OpenAI’s large-scale language-generation model. Upon generating draft language, the author reviewed, edited, and revised the language to their own liking and takes ultimate responsibility for the content of this publication.
Mathematicians in the 1970s used attractors to model the behavior of chaotic systems like the weather, and they found that the future path of such a system through its attractor is extremely dependent on its exact starting point. This sensitivity to initial conditions, known as the butterfly effect, makes the behavior of chaotic systems unpredictable; you can’t tell the forecast very far in advance if the flap of a butterfly’s wings today can make the difference, two weeks from now, between sunshine and a hurricane. The infinitely detailed paths that most chaotic systems take through their attractors are called “fractals.”
The future path of a chaotic system through its attractor depends extremely sensitively on its exact initial state, such that paths from nearby starting points quickly diverge (top). In a strange nonchaotic system, however, paths with nearby starting points stay correlated (bottom).
Olena Shmahalo/Quanta Magazine. Source: Nicolas Desprez
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"To believe is to accept another's truth. To know is your own creation."