Tunnelling .. The "Black Hole": In the Human Heart...

Is Acceleration Thru Light Speed in the DNA Braid Occassioned by the Heart's Blissful Sonic Pony Tail, How Compression Thru Light Speed Becomes "Tunnelling" ...

from Dan Winter, 12/26/2000 , url: ../tunnelling , other articles : ../sitemap.html

Since Acceleration and Gravity are identical (Einstein) - then if Winter is right that Acceleration and Compression are identical - Gravity must be occassioned among waves in general WHEN COMPRESSION IS OPTIMIZED - Which is mathematically perfected by fractal nesting based on Phi / Golden Ratio. Which means in summary, that Golden Ratio electrical nesting (capacitors arranged in the symmetry of PHI - ../grail.html , / stellated like ../predictions ) should CREATE measureable gravity from charge alone. This would prove the principle of why we find the moment of Golden Ratio harmonics in the Heart frequency signature - the moment of bliss - turns the ( imploding & compassioned ) heart into a gravity engine. Literally, this makes the self organizing centering force which enables our children to embed themselves into longer waves, like our SUN and eventually steer stars. This is why the first step to steering a tornado - or your loved one - is to FEEL into them .. This is the skill to turn inside out in such a way as to suck embed yourself into their center of (recursion) gravity. When you feel their center, better than they feel it themselves - we call that LOVE. This is why embedding feels like falling.

Note That From A Symmetry or Mathematic Perspective:

Successful BioDiversity as well as the Electrically Immortal EKG = Fractality / Successful Embedding

Successful fractality = perfect embedding, which is mathematically optimized by Phi - Golden Ratio.

Applying the notion that Fractal or Harmonic Inclusiveness in Heart Rate Music (HRV) = Biological Immortality ( ../dardik ) - with it's implication that heart embedability = compassion , we get the idea that sustainability for ecosystems must follow the same rule. Collectively our option is to get fractal or die. The practical meaning of this what we learn from the heart, tells us WHY sustaining bliss inside the EKG requires sustaining a fractal rose pattern in our back yard and planet magnetics. (In other words, a bliss ninny is just that: a ninny, out of the context of perfect context.. Extended family has the same meaning for magnetic lines feng shui, as it does for why it takes a community to raise a child.) *

extending conversations begun at: ../hrv , ../embedability , ../collapse , ../selfsimilarity


Imagine an oscillator needing to learn how to TUNNEL.. emerging from a phase lock into recursion harmonics - which are perfectly distributable...

Compare the physics notion of tunnelling to .. 'doczi spin' - See how phi harmonics naturally 'bring things to a HEAD'- Where waves converge in Phi Ratio, they get launched literally thru the speed of light - compression thru Planck Length - TUNNEL

.. (1.) (2.)

quoting from 'Fractals in Cardiology' inset below, 'The His-Purkinje network, a tree-like structure which rapidly (fractally?) transmits the electrical impulses from the atria to the ventricles.'... (end quote)

IS THIS HOW THE PERFECT BUTTERFLY EFFECT - GETS IT'S WINGS? By learning the geometry of perfect distribution - becoming infinitely shareable..

When the tree structure of this burning bush, learns to become fractal - on PHIre with compassion - does that (PHYlotactic ) connectivity become a black hole, faster than light, and in-PHI-knit?

After An Election in Effigy - Have We Found a Burning Bush?

Perfect Branch on Phire in the Heart! (Self Similar - Fibres of Perkinjole Where the Heart Catches PHIre)

Burning Bush... May Mean Something Non-Presidential AND More Than Biblical Here..

Cold Blue Maxin Light of A Phire That Does Not Consume.. Vril... Is That Your Heart Burning?

Is the Fractal Branching Tree Structure of the Notably Self Similar Fibres of Perkinjole Where the Heart Catches PHIre...

Black Holes to Blackboards:
God Divided by Zero


Down, up, and through the funnel. An embedding diagram is generally a good representation of a black hole's warping of nearby
space-time. But such 2-dimensional illustrations can also cause conceptual problems.

ARE BLACK HOLE Worms into Perfect Compression - The Spin Path to GOD / Zero Point?- Where Many Paths and Errands Meet?

And have they figured out that DNA needing to braid into self embedding (self-similarity in fold with in fold kneading.. ) may be a superluminal mechanism of ensoulment / superconductivity and super compression - BEFORE THEY HACK OUT THE 'JUNK' -FRACTAL- DNA.. (read about gene splicers cost us our souls because they dont know what embedding does to DNA field effects at ../magneticx ). Below exerpted from: DNA Junk Noise is Fractal / DNA sequences show fractal correlations

"In every case, they found that noncoding regions followed the Zipf relation more closely than did coding regions, suggesting that junk DNA follows the structure of languages. 'We didn't expect the coding DNA to obey Zipf," Stanley notes. 'A code literal one if by land, two if by sea."You can't have any mistakes in a code. * Language, in contrast, is a statistical, structured system with built-in redundancies A few mumbled words or scattered typos usually do not render a sentence incomprehensible. In fact, the workers tested this notion of repetition by applying a second analysis, this time from information theorist Claude E Shanon who in the 1950s quantified
redundancies in languages. They found that junk DNA contains three to four times the redundancies of coding segments. Because of the statistical nature of the results, the researchers admit their findings are unlikely to help biologists identify functional aspects of junk DNA. Rather the work may indicate something about efficient information storage. "There has to be some sort of hierarchial arrangement of the information to allow one to use it in an efficient fashion and to have some adaptability and flexibility,' Goldberger observes."

end quote. comment by Dan Winter: Efficient information storage IS FRACTAL DATA COMPRESSION - so therefore children when are we going to STOP calling the non-coding regions in DNA JUNK!!!!

* note also exquisite detail on this idea of (fractal?) embedding in Language Structure implicate in the book: "Grammatical Man: Information Entropy, Language and Life" by Jeremy Campbell. - he calls this "context richness" - or "context dependancy".

Compare this to related: ../selfsimilarity , ../collapse , ../dardik ,

below (Clearly inspired by the work of Dr. Ary Goldberger on the Self Similar Fractality of the Heart's Electrification)

reprinted from: http://www.sewanee.edu/Phy_Students/smithjs0/Fractals_in_Cardiology.html

Fractals and Cardiology


"Yes, for all these years, we have been living with fractal arteries, not far from fractal river systems, draining fractal mountainscapes under fractal clouds, toward fractal coastlines."

M. Schroeder (Iannaccone 249)



A snowflake in Vermont, the coastline of Italy, the Nile River: all of these share a characteristic that is very common in nature(Iannaccone 5). They all have geometric complexity(Iannaccone 5). In each of these fractal objects self-similarity exist(Iannaccone 5). "Self-similarity implies that looking at one part of the object offers the same information as looking at another part of the object"(Iannaccone 5). In biological systems fractal geometry abounds in many was comparable to that seen in physical systems. Self-similarity appears to be a property of the healthy function of the human cardiovascular system(Innaccone 250). This self-similarity appears at both the microscopic and macroscopic levels of observation(Iannaccone 250).

Fractal Geometry of the Heart

A number of cardiopulmonary structures have a fractal-like appearance(Iannaccone 251).

Examples of Fractals in Cardiovascular Physiology(Iannaccone 251).

I. Structural

A. Vascular: arterial and venous tress

B. Muscular:

1. Hierarchical organization of muscle bundles

2. Branching of certain intracardiac muscles

C. Electrical: His-Purkinje network

D. Connective tissue: chordae tendineae; aortic valve leaflets

II. Dynamical (1/f spectra)

A. Regulation of healthy heartbeat fluctuations

B. Regulation of healthy beat-to-beat blood pressure fluctuations


Examples of self-similar architectures include the arterial and venous trees and the branching of certain cardiac muscle bundles, as well as the ramifying tracheo-bronchial tree and the His-Purkinje network(Iannaccone 251).



Image 1 Cast of the human coronary artery tree. This rich, redundant network supplies blood to the heart muscle with enormous efficiency and reserve.(Courtesy of Ciba-Geigy)

Image 2 The pectinate muscle of the canine artium shows a complex branching pattern.(Adapted from Goldberg, A.L., and West, B.J., Yale J, Biol. Med., 60, 421, 1987.)

The His-Purkinje network provides a highly efficient mechanism for rapidly distributing the electrical impulse(Iannaccone 251).

Image 3 Schematic diagram of the His-Purkinje network, a tree-like structure which rapidly transmits the electrical impulses form the atria to the ventricles.(Adapted form Goldberger, A.L., Bhargava, V., West, B.J., and Mandell, A.J., Biophys. J., 48, 525, 1985.)

All the self-similar cardiopulmonary architecture serves a common physiologic function: rapid and efficient transport over a complex, spatially distributed system(Iannaccone 251). In the case of the electrical conduction system, the quality being transported is the electrical stimulus that regulates the timing of cardiac contraction(Iannaccone 251). In the case of the vasculature, fractal branching provide a rich network for distribution of oxygen and nutrients and for the collection of carbon dioxide and other waste products of metabolism(Iannaccone 251). The fractal tracheo-bronchial tree provides an enormous surface area for exchange of gases(Iannaccone 251). The branching pattern of certain muscle bundles within the heart is also fractal-like(Iannaccone 251). The overall organization of muscle tissue can be viewed as a fractal hierarchy of bundles within bundles within bundles.


An aspect of the fractal concept was the recognition that it could be applied not just to irregular geometric forms that lack a characteristic length scale, but also to complex processes that lack a single scale of time(Iannaccone 251). Fractal process generate fluctuations on multiple time scales, such variations are self similar(Iannaccone 251). The self-similarity of the fractal process can be seen by plotting the time series in question at different "magnifications"(Iannaccone 252).

Figure 5 The normal heartbeat fluctuates in an apparently irregular fashion, these fluctuations, when examines at different temporal resolutions, show a similar type of "rough" surface or landscape.(Adapted from Goldberger, A.L., Rigney D. R., and West, B.J., Sci. Am., 262, 42, 1990.)

Figure 5 show the time series of the heartbeat from a healthy person plotted on three different scales(Iannaccone 252). All three graphs show that the normal heartbeat has an irregular appearance. The difference, however, on each time scale is not noticeable. "The roughness of the "time-scape" (analogous to a fractal landscape) appears to have a self-similar property(Iannaccone 252). The normal activity of the heart has been describes as "regular sinus rythm," but the intervals normally fluctuate in a complex sporadic manner(Iannaccone 252).


The consecpt of fractals may be useful in understanding spatial and temporal "structure" of the human heart. Fractal analysis can be used to examine time serices of the heart. Studying the different fractal structure of time series it may be possible to identify at-risk patients.


Iannaccone, P. Philip and Mustafa Khokha. Fractal Geometry in Biological Systems An

Analytical Approach . CRC Press, New York, 1996.

Compare this idea of perfect 'wave within wave within wave'...

'heart beat as a wave, within heart rate as a wave, within breath as a wave, within your day as a wave....'

which Dr. Irving Dardik calls SUPER-LOOPING in his article on FRACTALITY in Heart Rate Variability (inclusiveness in your heart's music)


(../dardik )

(above) Ask yourself - why the waves within waves of the perfectly immortal heart beat - look like a fern tree! (very fractal)...


exerpted from:THE MUSIC OF THE SPHERES - The Emerging Paradigm Shift In Science http://www.google.com/search?q=cache:www.federal.com/jul10-00/Spheres+"Music+of+the+Spheres"+AND+goldberger&hl=en


... that mysterious number Phi, which the
Greeks referred to as the Golden Ratio. It keeps popping out at
us from the most unlikely places. Did you know, for example, that
on average the navel of a (standing) person is located at 62
percent of the distance from the ground to the top of the
person's head? Or that the bronchial tubes in the human lung
follow the Fibonacci scale for the first seven iterations? (The
diameters follow that scale for ten generations). Bruce West and
Ary Goldberger wrote in a paper that appeared in the July 1987
American Scientist that what they call the "Fractional Fibonacci
lung tree provides a remarkable balance between physiological
order and chaos."

The influence of Phi can also be found in the plant world, in the
sunflower, for example, or the pine cone. A paper published by
the University of Koblenz notes that the Fibonacci series and the
related Golden Ratio are observed frequently in nature. "The
pattern of order that lies herein is an empirically observed
regularity that excludes an accidental arrangement in the
placement of leaves." (Referring to an example cited in the
article). "With these observations we perceive an order in
phenomena that can be expressed with mathematics ... that we
experience at the same time as harmonious and beautiful. It
doesn't surprise us that in centuries past these structures were
interpreted as "planetary harmonics" (Kepler), as "Divine
Proportion" (Pacioli), or, in the 19th century, as the Golden

The reason why this relationship occurs so frequently in nature
has yet to be explained. But the following example may provide a
clue. [Those who have had enough number juggling can skip this
section, but they will be missing the best part]. Consider the
following relationship:

X = 1 + 1/X

This merely describes a property of the Golden Ratio: divide 1 by
it, add 1 to the result and, voila, you get back the original
number. Now, with calculator in hand (the one you got for a song
at K-Mart), punch in a number, any number at all. Somewhere on
the keyboard there should be a button marked "1/X". Push it. The
number that appears on the display is not important. Now push the
following three buttons in sequence: "+", "1", and "=". The
number that appears will probably not look familiar. Push the
same four buttons, "1/X", "+", "1", "=", again in the same
sequence. After you have done this a number of times the numbers
on the display don't change as much each time. A techno-wonk
would say the solution is "converging". Eventually, if you have
been dogged enough to keep pushing those buttons, the numbers
won't change at all. In the display you will see: 1.618033989
after pushing the "=" button. Then, when you push the "1/X"
button you will see: 0.618033989 .

Congratulations, you have just solved a problem in numerical
analysis, calculated the Golden Ratio (and its reciprocal) to a
high degree of accuracy, and demonstrated the principle of
feedback. Notice that each time you calculated:

X = 1 + 1/X
| ^

the result was "fed back" into the equation. In mathematics this
is called "recursion." The number 1.618033989 acts as an
"attractor" in this example. No matter what number you start with
(except 0, -1, or -.5) the solution will always be drawn to the
same number, Phi.

Feedback is thought to be one of the basic mechanisms whereby
matter organizes itself into the forms that are so familiar to
us. Another mechanism is self-similarity. The Golden Ratio
scales things up or down without changing their proportions. That
is the thing that caught the eye of the ancient Greeks. If you
divide a line into two segments so that:


the ratio of A to B is equal to the ratio of 0.618034 to
0.381966, then the ratio of (A+B) to A will be the same ratio,
that is the Golden Ratio. In other words, the ratio of the
smaller part to the larger part is the same as that of the larger
part to the whole.

Why do the lengths of the bronchial tubes scale down in this
proportion? Is there some "economy of scale" to be had thereby? I
don't know the answer, nor do I know of anyone else who does,
however, a lot of scientists are beginning to ask such questions.

other reading: (Much of Which Relates to Ary Goldberger MD & His Heart Music Son)

Lancet: Non-linear dynamics for clinicians: chaos theory, fractals, and complexity - Ary L. Goldberger

How Heartbeats Become Music

Music with a ( Fractal? ) Beat From the Heart

fractality and self-similarity in Medicine

Critical dynamics in the human brain "the underlying neuronal network self-organizes to a critical state governed by well-defined statistical law"

Fractal Landscapes and Molecular Evolution: "Mapping nucleotide sequences onto a "DNA walk" produces a novel representation of DNA that can then be studied quantitatively using techniques derived from fractal landscape analysis."

Introduction-Chaos / Fractal Scaling in Health and its Breakdown with Disease

Adapted From: In all areas of medical research there is a common physiological theme: Fractality / Embedding?



Fractal or Tree Like Structure of Heart harmonics Gone Healthy / Embedded / Nested Well in World..

(adapted from: Nonlinear Dynamics for Clinicians )

Below is from: Analysis of heart rate dynamics by methods derived from nonlinear mathematics ,(sub set) Fractal form Dynamical analysis methods of heart rate behaviour , "A Fractal system is a specific form of chaos. The geometry of chaotic attractors often suggests the existence of fractals. A fractal is a system which has the same structure on many measurement scales. Mathematician Benoit Mandelbrot introduced the word "fractal" to refer to one of the fundamental properties of a specific structure: self-scaling similarity over a wide range of scales. This self-similarity occurs over an infinite range of scales in pure mathematical fractal structures and over a limited range in natural objects or systems. The normal heart rate time series is fractal-like and seems to display the fractal property of self-similarity over different time scales without a characteristic time scale. The power spectra of heart rate time series have been shown to concur with 1/f behaviour, which is essential for fractal-like behaviour and also characteristic of chaotic behaviour. Normal heart rate time series have been shown to demonstrate a "strangelike" attractor, which is characteristic of chaotic as opposed to random or periodic signals. Based on this Ary Goldberger has concluded that "the most compelling clinical example of cardiac chaos is paradoxically found in the dynamics of the normal sinus rhythm". These chaotic, fractal and nonlinear qualities of heartbeat behaviour have inspired investigators to develop new analysing methods of heart rate behaviour (Mandelbrot 1982, Goldberger 1996, Goldberger & West 1987, Yamamoto et al. 1995)."


Memory and Mind as Fractality: Embodiments of Meaning for a Fractal Mind by Mikiten-Salingaros-Yu for the Nexus Network

Application of Fractals in Ecology

Chaos&Fractals Background

Fractality - Resonance vs. The Homeopathic Approach: PATHOLOGY, COMPLEX SYSTEMS, AND RESONANCE