Posts Tagged fractal

Fractals The Hidden Dimension

What do movie special effects, the stock market, heart attacks and the rings of Saturn have in common? They all consist of fractals, irregular repeating shapes found in cloud formations,tree limbs, stalks of broccoli and craggy mountain ranges and even in the human heart. Discovered by mathematician Benoit Mandelbrot, they are the architecture used by nature.

See also:
- The Brain is a dynamic antenna

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Interview with Professor Robert Pope on The 21st Century Renaissance

In this Video Robert talks about his ground breaking book The 21st Century Renaissance and the importance of bringing science art & consciousness back together again in order to survive the shift of the ages. Robert Popes work has been said to be one of the most important messages of the 21st century. He has been doing wonderful work and explains eloquently about Davinci, Fibbonacci, Buckminster Fuller & Einstein & even goes to the ties of ancient Egypt mapping what exactly happened, where its all leading and what we can do about.

See also:
- The End of Time

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Is our Universe a Giant Nervous System?

Neuron, from Wikipedia

The self-similarity is evident everywhere.

Our Universe seems to be a giant nervous system.

I recommend to read the entries in the Electric-Universe-Forum for further understanding of how our universe works. Indeed it is not like mainstream believe, that it is made up of smaller and smaller particles. But it behaves like consciousness itself, it is self-similar, fractal. Most of the people sitting in front of the TV will not realize the wonders of this universe, because mass-media will not show them the latest discoveries made in field of science. But you dear reader think about this wonders and the implication and talk to other people about it.

A neuron is an electrically excitable cell that processes and transmits information by electrochemical signaling, via connections with other cells called synapses. Neurons are the core components of the nervous system, which includes the brain, spinal cord, and peripheral ganglia. A number of specialized types of neurons exist: sensory neurons respond to touch, sound, light and numerous other stimuli affecting cells of the sensory organs that then send signals to the spinal cord and brain. Motor neurons receive signals from the brain and spinal cord and cause muscle contractions and affect glands. Interneurons connect neurons to other neurons within the same region of the brain or spinal cord.

Source: Wikipedia – Neuron

Self-Similarity is everywhere

According to a study published in Nature’s Scientific Reports, the universe may be growing in the same way as a giant brain – with the electrical firing between brain cells ‘mirrored’ by the shape of expanding galaxies.
(Huffington Post UK, by Michael Rundle)

See also:
- Physicists Find Evidence That The Universe Is A ‘Giant Brain’
- The Extended Mind: Recent Experimental Evidence
- The Electric Universe
- Collective EM field of the Biosphere
- Your Brain Works Like the Internet

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The Electro-Fractal-Universe Theory


Fractal patterns have been found in traffic flows, music, cardiology, electronics, meteorology etc etc. All fractals are made by positive feedback, no matter what the medium. They are neither stable nor static. They teeter at the edge of chaos. A minute touch and they may fly into wild gyrations, but equally a massive heave may fail to budge them. Prediction is far from assured. Determinists are uncomfortable with them.

Plasma science is well established, not least through the search for the cheap, clean energy of nuclear fusion. The search has failed so far because it involves an electrical process relying on ‘Z pinch’, a feedback process which, not surprisingly, is capricious. But Nature has mastered the art.

Source: (A Pictorial Hypothesis by Colin Hill … worth to read!°)

See also:
- Collective EM field of Human Subjects

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Fractal Romanesco Broccoli

Romanesco broccoli resembles a cauliflower, but is of a light green colour and the inflorescence (the bud) has an approximate self-similar character, with the branched meristems making a logarithmic spiral. In this sense the broccoli’s shape approximates a natural fractal; each bud is composed of a series of smaller buds, all arranged in yet another logarithmic spiral. This self-similar pattern continues at several smaller levels.

Fractals in Nature

A meristem is the tissue in most plants consisting of undifferentiated cells (meristematic cells), found in zones of the plant where growth can take place.

The meristematic cells give rise to various organs of the plant, and keep the plant growing.

Under appropriate conditions, each shoot meristem can develop into a complete new plant or clone. Such new plants can be grown from shoot cuttings that contain an apical meristem. Root apical meristems are not readily cloned, however. This cloning is called asexual reproduction or vegetative reproduction and is widely practiced in horticulture to mass-produce plants of a desirable genotype. This process is also known as mericloning.

Propagating through cuttings is another form of vegetative propagation that initiates root or shoot production from secondary meristematic cambial cells. This explains why basal ‘wounding’ of shoot-borne cuttings often aids root formation.

You can try this cloning process with almost any brassica – broccoli, cauliflower, cabbage, collards or kale.

By the way …
Did you know that self-similarity is the basis for what we perceive as beauty? Even music is partly self-similar!

See also:
- Fractal Cosmology
- Consciousness is order and the source of energy
- How to Clone a Cabbage in Your Organic Vegetable Garden

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The Fibonacci Sequence is the mathematical first cousin of the Golden Ratio

If you dig deep you will discover patterns. By trying to understand reality and the origin of it, consciousness, your search will lead you to a world of numbers and patterns of numbers, because mathematics is a universal language and consciousness itself express through language.

Patterns in nature follow a simple basic sequences, which reveals higher complexity if they interact together. Scientists calls them emergence or emergent phenomenon. Recognizing this patterns means to recognize the way consciousness express and understand by logic the fundamental concepts. One of this simple sequences are the Fibonacci Sequence.

Fibonacci Sequence

A sequence like fibSequence … reveals only a counting up of the previous one.

Fibonacci is different. It adds always the previous result to the next result, like fibu2

This means the is added to the zero … 0 + , then the result is .

The next parts in the sequence are …


Looks simple right? Indeed it is very simple. But the implications are huge!

Look between the numbers
As you can see here in the chart below the blue line represents the ratio between the Fibonacci Pair Numbers. The ratio levels out on a very special value: The Golden Ration or Golden Number = 1.618… this number too is everywhere in nature, evidence for a higher order, a ratio for beauty and energy efficiency, the optimum for space utilization in nature and the intervals between notes, … you can find it everywhere and it enables life!

Fibonacci Spiral and the Life Force
Life requires order, or should I say life creates order?! Well, without order life is impossible. Every life-form has structure, order, informations which makes sense and all of them points towards a meaning. The Fibonacci numbers represents a kind of order which is observable in the entire universe.

tiling with squares

A tiling with squares whose sides are successive Fibonacci numbers in length

The so called “Fibonacci Spiral” represents a never ending inward flowing spiral, which each cycle is smaller than the previous cycle by the ratio of the golden mean. This kind of spiral is only perfect, never ending, because it is based on the golden ratio of 1.618…

Fibonacci Spiral

A Fibonacci spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34.

In other words, if somebody would give you the small buildable vacant lot and you could miniaturize yourself for every tiling square by the ratio of the Golden Mean, you could create yourself a never ending universe inside a limited space!!! This implicate that you need to build a framework which is holographic, self-similar, fractal … perfect in itself.

Now what does this mean for our consciousness? Well, our consciousness relies on perfection, else it cease to exist. It’s like changing the variables in a formula and the rocket leaves the orbit, without having the chance to get into orbit again. You cannot change perfection, nothing can be added or subtracted.

See also:
- Reality is created in a Consensus Agreement of all Participants
- Magnifying the Universe
- Holographic principle
- Impossibility of Secrets

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Food is indeed information and order

We eat food for many reasons: Energy (carbohydrates), building material (proteins), essential substances like vitamins and minerals, but we eat also because we enjoy it and the food we can see in nature is really beautiful. So where does all this order come from? All the fractal structures … we are what we eat, right?

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Antennas in Nature

The mainstream science community spends billions for researching a method for building a quantum computer and yet it already exist in every cell of our body: Our DNA is a quantum computer, as Stuart Hameroff proved.

And the DNA is not only a computer, it’s also able to receive and send on a specific bandwidth. DNA is a antenna!


Some parts of the code in the DNA is blocked and cannot be read. But under certain electromagnetic influences this parts gets unlocked and they can be read and then something change in the organism. In nature all organism communicates on different ways. One of the most astonishing ways is the electromagnetic broadcasting network which exist before humans even knows about the existence of radio signals. This invisible world of communication is similar to the biophotonic communication of plants and microorganism.


Today we have fractal antennas in our mobile phones. The fractal design of antennas enables to build them very small and they become even more powerful. DNA is a fractal construct too and it’s ability as an antenna exceed even that of the man made fractal antennas. Antennas in mobile phones are controlled electronically by enabling and disabling certain parts of the fractal design, permitting to switch channel and frequency. The microscopic design of the DNA is even more powerful. It’s able to do that on a quantum mechanical way. So try to overtop this!

I would really like to know what they talk about all the time. I mean bacterias sends signals around 1 kilohertz, what do they communicate on this bandwidth? “Hey John, how are you?” … “Jo man, I fine. How are your kids?” … “Thanks, they playing around, replicating themselves, you know, the usual.” According to research presented by Northeastern University physicist Allan Widom, based on existing knowledge of DNA and electrons, bacteria can indeed communicate. But I would love to know what they say.


Neurobiologists find that weak electrical fields in the brain help neurons fire together.


Pasadena, Calif.—The brain—awake and sleeping—is awash in electrical activity, and not just from the individual pings of single neurons communicating with each other. In fact, the brain is enveloped in countless overlapping electric fields, generated by the neural circuits of scores of communicating neurons. The fields were once thought to be an “epiphenomenon” similar to the sound the heart makes—which is useful to the cardiologist diagnosing a faulty heart beat, but doesn’t serve any purpose to the body, says Christof Koch, the Lois and Victor Troendle Professor of Cognitive and Behavioral Biology and professor of computation and neural systems at the California Institute of Technology (Caltech).

Our heart generates a electromagnetic signal which can be received by other humans over a certain distance. In a certain way what we know as “intuition” may have a scientific explainable background. Do you know the feeling of “atmosphere” entering a room full of people? And do you know the strange feeling in the moment when this “atmosphere” change? Sometimes it change without apparent reason, no visible or audible trigger. But through the electromagnetic signals which a heart of a human emits a whole group can be affected. This is the case when negative or positive thoughts and feelings overflow, resulting in specific electromagnetic signals literally from the heart.


Do you know acupuncture? Did you know that our body has the ability to store electrostatic energy? Some of this energy is a kind of memory in our body. Not only our brain stores information, it’s the whole body which acts as a dynamic database. The acupuncture therapists explains that lifeforce or “qi” flows through specific pathways (meridians) in our body. Some of this pathways forms crosspoints on the surface and can be manipulated by needles. This is what is done in acupuncture, some energy is released, some is diverted and sometimes heat is applied on this acupuncture points. Acupuncture points can also be stimulated with light (laser) or electricity.

Some therapists claims that they are able to perceive a “aura“, a kind of field around the human body. This field has some quality which can be described with form and color. So the question is: Does our body act as antenna as a whole?

The Venus suntrap can snap shut with the tactile arrival of its insect prey. But how far has this communicative process gone? George Washington Crile believed that not only do plants communicate between themselves by means of electromagnetic signals, and that this can be demonstrated experimentally, but that they are also sensitive to non-plant life should it approach them. He further claimed in his 1926 book The bipolar theory of living processes and in another ten years later entitled The phenomena of life: a radio-electrical interpretation that plants, once programmed by experience, were sentient about even the subtle intentions of the approaching fauna. This stretches the imagination and belief of any self-respecting [mainstream] scientist (Crile, 1926).


Planet Earth
Our little blue planet does not only deliver us with life enabling environment, but also with powerful electromagnetic generator which vibrates at a rate of 7 Hz. Schumann resonances are global electromagnetic resonances, excited by lightning discharges in the cavity formed by the Earth’s surface and the ionosphere. This frequency of 7 Hz seems to be a fundamental EM stimulant for all life forms, like Montagnier demonstrated with his experiments with DNA and water memory. It enables communication on the electromagnetic level.

Related Links:
- DNA could act as an antenna in electromagnetic communications
- Neurobiologists Find that Weak Electrical Fields in the Brain Help Neurons Fire Together
- Bacteria on the Radio: DNA Could Act as Antenna
- There’s No Such Thing as a ‘Simple’ Organism
- Electrical conduction system of the heart
- The secret electromagnetic life of plants

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Fractal Cosmology

In physical cosmology, fractal cosmology is a set of minority cosmological theories which state that the distribution of matter in the Universe, or the structure of the universe itself, is a fractal. More generally, it relates to the usage or appearance of fractals in the study of the universe and matter. A central issue in this field is the fractal dimension of the Universe or of matter distribution within it, when measured at very large or very small scales.

A 'galaxy of galaxies' from the Mandelbrot Set

The use of fractals to answer questions in cosmology has been employed by a growing number of serious scholars close to the mainstream, but the metaphor has also been adopted by others outside the mainstream of science, so some varieties of fractal cosmology are solidly in the realm of scientific theories and observations, and others are considered fringe science, or perhaps metaphysical cosmology. Thus, these various formulations enjoy a range of acceptance and/or perceived legitimacy.

Fractals in observational cosmology
The first attempt to model the distribution of galaxies with a fractal pattern was made by Luciano Pietronero and his team in 1987, and a more detailed view of the universe’s large-scale structure emerged over the following decade, as the number of cataloged galaxies grew larger. Pietronero argues that the universe shows a definite fractal aspect, over a fairly wide range of scale, with a fractal dimension of about 2. The ultimate significance of this result is not immediately apparent, but it seems to indicate that both randomness and hierarchal structuring are at work, on the scale of galaxy clusters and larger.

A debate still ensues, over whether the universe will become homogeneous and isotropic (or is smoothly distributed) at a large enough scale, as would be expected in a standard Big Bang or FLRW cosmology, and in most interpretations of the Lambda-CDM (expanding Cold Dark Matter) model. Scientific consensus interpretation is that the Sloan Digital Sky Survey suggests that things do indeed seem to smooth out above 100 Megaparsecs. Recent analysis of WMAP, SDSS, and NVSS data by a team from the University of Minnesota shows evidence of a void around 140 Megaparsecs across, however, coinciding with the CMB cold spot, which, if confirmed, calls the assumption of a smooth universe into question. However there are serious hints that the apparent cold spot is a statistical artifact.

In May 2008, another paper was published by a team including Pietronero, that concludes the large scale structure in the universe is fractal out to at least 100 Mpc/h. The paper asserts that the team has demonstrated that the most recent SDSS data shows “large amplitude density fluctuations at all scales” within that range, and that the data is consistent with fractality beyond this point, but inconsistent with a lower scale of homogeneity, or with predictions of large scale structure based solely on gravity. Their analysis shows the fractal dimension of the arrangement of galaxies in the universe (up to the range of 30 Mpc/h) to be about 2.1 (plus or minus 0.1).

However, an analysis of luminous red galaxies in the Sloane survey calculated the fractal dimension of galaxy distribution (on a scales from 70 to 100 Mpc/h) at 3, consistent with homogeneity; they also confirm that the fractal dimension is 2 “out to roughly 20 Mpc/h”.

Fractals in theoretical cosmology
In the realm of theory, the first appearance of fractals in cosmology was likely with Andrei Linde’s “Eternally Existing Self-Reproducing Chaotic Inflationary Universe” theory, in 1986. In this theory, the evolution of a scalar field creates peaks that become nucleation points which cause inflating patches of space to develop into “bubble universes,” making the universe fractal on the very largest scales. Alan Guth’s 2007 paper on “Eternal Inflation and its implications” shows that this variety of Inflationary universe theory is still being seriously considered today. And inflation, in some form or other, is widely considered to be our best available cosmological model.

Since 1986, however, quite a large number of different cosmological theories exhibiting fractal properties have been proposed. And while Linde’s theory shows fractality at scales likely larger than the observable universe, theories like Causal dynamical triangulation and Quantum Einstein gravity are fractal at the opposite extreme, in the realm of the ultra-small near the Planck scale. These recent theories of quantum gravity describe a fractal structure for spacetime itself, and suggest that the dimensionality of space evolves with time. Specifically; they suggest that reality is 2-d at the Planck scale, and that spacetime gradually becomes 4-d at larger scales. French astronomer Laurent Nottale first suggested the fractal nature of spacetime in a paper on Scale Relativity published in 1992, and published a book on the subject of Fractal Space-Time in 1993.

French mathematician Alain Connes has been working for a number of years to reconcile Relativity with Quantum Mechanics, and thereby to unify the laws of Physics, using Noncommutative geometry. Fractality also arises in this approach to Quantum Gravity. An article by Alexander Hellemans in the August 2006 issue of Scientific American quotes Connes as saying that the next important step toward this goal is to “try to understand how space with fractional dimensions couples with gravitation.” The work of Connes with physicist Carlo Rovelli suggests that time is an emergent property or arises naturally, in this formulation, whereas in Causal dynamical triangulation, choosing those configurations where adjacent building blocks share the same direction in time is an essential part of the ‘recipe.’ Both approaches suggest that the fabric of space itself is fractal, however.

The book Discovery of Cosmic Fractals by Yurij Baryshev and Pekka Teerikorpi gives an overview of fractal cosmology, and recounts other milestones in the development of this subject. It recapitulates the history of cosmology, reviewing the core concepts of ancient, historical, and modern astrophysical cosmology. The book also documents the appearance of fractal-like and hierarchal views of the universe from ancient times to the present. The authors make it apparent that some of the pertinent ideas of these two streams of thought developed together. They show that the view of the universe as a fractal has a long and varied history, though people haven’t always had the vocabulary necessary to express things in precisely that way.

Beginning with the Sumerian and Babylonian mythologies, they trace the evolution of Cosmology through the ideas of Ancient Greeks like Aristotle, Anaximander, and Anaxagoras, and forward through the Scientific Revolution and beyond. They acknowledge the contributions of people like Emanuel Swedenborg, Edmund Fournier D’Albe, Carl Charlier, and Knut Lundmark to the subject of cosmology and a fractal-like interpretation, or explanation thereof. In addition, they document the work of Gérard de Vaucouleurs, Mandelbrot, Pietronero, Nottale and others in modern times, who have theorized, discovered, or demonstrated that the universe has an observable fractal aspect.

On the 10th of March, 2007, the weekly science magazine New Scientist featured an article entitled “Is the Universe a Fractal?” on its cover. The article by Amanda Gefter focused on the contrasting views of Pietronero and his colleagues, who think that the universe appears to be fractal (rough and lumpy) with those of David Hogg of NYU and others who think that the universe will prove to be relatively homogeneous and isotropic (smooth) at a still larger scale, or once we have a large and inclusive enough sample (as is predicted by Lambda-CDM). Gefter gave experts in both camps an opportunity to explain their work and their views on the subject, for her readers.

This was a follow-up of an earlier article in that same publication on August 21 of 1999, by Marcus Chown, entitled “Fractal Universe.”. Back in November 1994, Scientific American featured an article on its cover written by physicist Andrei Linde, entitled “The Self-Reproducing Inflationary Universe” whose heading stated that “Recent versions of the inflationary scenario describe the universe as a self-generating fractal that sprouts other inflationary universes,” and which described Linde’s theory of chaotic eternal inflation in some detail.

In July 2008, Scientific American featured an article on Causal dynamical triangulation, written by the three scientists who propounded the theory, which again suggests that the universe may have the characteristics of a fractal.

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