As Fractals Of The Human Body
Vadim Bouevitch, MD
Microacupuncture systems may be based on the principle of fractalization found in nature (living and non-living), including the wave-like nature of acupuncture channels. Such a theory accommodates the perspective of physics as well as Traditional Chinese Medicine concepts of meridians, microacupuncture systems, acupuncture points, Qi energy, pathogenic factors, etc. The number of projections of microacupuncture systems onto the skin surface and mucous membranes is potentially unlimited. The need exists for scientific exploration and elaboration of the physiologic mechanisms involved in microsystems to gauge treatment effects.
Acupuncture, Microacupuncture Systems, Fractal, Su Jok, Embryo Microsystems Formation, Yamamoto New Scalp Acupuncture
A characteristic feature of modern acupuncture is the rapid development of the doctrine of microacupuncture systems. A variety of microsystems is in use: auriculotherapy, su jok therapy, ECIWO (embryo containing the information of the whole organism) therapy, oral acupuncture, iridodiagnostics, nasal therapy, different modifications of scalp therapy (including Yamamoto New Scalp Acupuncture [YNSA]), vaginal acupuncture, clavicle needle injection, and more.
These systems are united by one general property; each is a projection of all parts of the body and its internal organs onto a limited section of the skin, mucous membrane, and periosteum. The organs are extrapolated not only morphologically but also functionally. It is impossible to explain such a reflection on so varied and removed surfaces simply by means of neurohormonal connections. Nevertheless, the clinical efficacy of the microsystems is irrefutable; one of the modern theories of the influence of acupuncture pertains to the fractal-field model of the structure of the organism. This accounts precisely for the appearance and structure of microacupuncture systems and their activity.
The Fractal Model
In the field of nonlinear equations and complex numbers, Benoit Mandelbrot is the originator of fractal geometry.1 Mandelbrot's set (Z [Z2-C]), solved for Z and C, provides particular parameters that can be represented pictorially via computer graphics. This visual display illustrates the sheer variety of forms that arise, coupled with the self-similarity of the figures. This quality of self-similarity is independent of size or scale.1 The very peculiarity is in the primary (mother) figure giving rise to smaller figures, which are still similar in form and content (Figure 1). This self-similarity is mathematically endless in principle, but the real size of the smallest figure is necessarily restricted by atom size. Apart from the principle of self-organization, one can see the dialectical unity of order and chaos within the same process. The central symmetrical figure at the beginning of the process gradually turns into the chaotic "fractal dust" on the periphery.
Recently, the fractalization (self-similarity) principle has been recognized as the basic principle behind nature's self-organization. This is illustrated aptly by the classic irregular coastline viewed on different scales (e.g., 1:100 m, 1:100 km) whereby the shape remains constant, irrespective of the scale of measurement. Similarly, this pattern can be noted in the branching of a tree or in the divisions in the veins of a leaf.
Many fractal-like structures have also been discovered in the human organism. Certainly, they are not as identical as mathematical sets, but the principle of fractalization is nevertheless observed in the bronchial dichotic division of the 1st, 2nd, 3rd, 4th, and 5th and additional levels (Figure 2). This also occurs in the branching of blood vessels and nerves, and in intestinal villi and microvilli.
In addition to structural fractals, functional fractals exist in organisms. For example, for electrocardiographic (ECG) Holter monitoring data, the graph that depicts the variations in the healthy heart rhythm over a 24-hour period is identical to the R-R interval on ECG for a 1-minute period (Figure 3).
Wave Theory of Meridians
Many attempts have been made to explain the nature of the classic acupuncture meridians. To date, there are approximately 20 theories, none of which account for microsystems. A more recent interpretation is the fractal-field model of the structure of the organism, which describes the meridians as the final wave cycle in the coherent field of an organism with projections onto the body surface at the level of the acupuncture points. According to this concept, the main function of the meridians is to provide an informational exchange between an organism (microspace) and its environment (macrospace). The goal of this exchange is the adaptation of an organism to the changeable conditions of its environment.2
Fractal electromagnetic (or torsion) fields, which transmit information without transferring energy, probably play a part in the material substratum which facilitates the exchange.3 The advantage of this model is that it allows the modern view of the structure of matter to be united with the ancient East's conception of acupuncture to prove the physical reality of such concepts as meridians, Qi energy, internal and external pathogens, and more.
Thus, the channels of acupuncture are wave formations that transmit information about the internal environment of an organism and facilitate the exchange of this information with the external environment via the acupuncture points. Indeed, the meridian system is an informational cast of the human body on the wave level. In addition, according to the principle of fractalization, an organism creates many quantum copies of itself with projections on the skin, mucous membranes, etc. The biological reason for these multiple copies is to create a bigger "durability reserve" for the informational structure, i.e., the body codes its anatomical structure, the structure and functions of its internal organs and systems, and the development of the organism in space and time.4
Formation and Application to Microsystems
A large central image analogous to the system of 12 Principal, and 8 Extra Meridians, is shown in Figure 1; many other images are created around it. These images are self-similar in form and content but different in size, from the largest to the smallest "fractal dust." These images can be used to represent the microacupuncture systems, which also vary in size and in their resolving ability. The su jok, ECIWO, and YNSA microsystems have the greatest resolving ability. Su jok describes the microcopies of the meridians as bel meridians. Generally, this system provides the most comprehensive description of the principle of fractalization, particularly with regard to the basic and minisystems of conformity.
The Mandelbrot Set (Z [Z2-C]) Depicted at Different Scales via Computer Graphics7
(A) Primary "Mother Figure" acupuncture channels; (B) Amounts of different microsystems
Park Jae Woo had no need to prove the principle of self-similarity, which has long been known in the East. He simply used this principle as the basis of his doctrine and at the same time, transferred the philosophical concepts of traditional Eastern medicine to this microsystem. He did not try to substantiate it physiologically. Recently, there have been attempts to describe the meridians in other acupuncture systems.
Since the DNA molecule is the smallest information carrier and wave copy of an organism, a theoretically possible number of microsystems must be at least 103 (the number of cells in the living organism). The Chinese say, "Each object can be divided 10,000 times." In principle, it is possible to describe many other microsystems, but they are all smaller and less significant than more recently discovered systems.
How should we regard the Extra Meridian and purported new acupuncture points belonging to the microacupuncture systems that have yet to be described? Accepting the multitude of microacupuncture systems necessitates dealing with their interrelationships. This problem can be solved via cybernetic and homeostatic laws.
Figure 2. Dichotomic Branching as a Fractal of the Bronchial Tree
In cybernetics, any microacupuncture system is a homeostat that provides an informational exchange between the inner medium of the human organism and the environment, and that which keeps internal stability. The body's lower-order homeostats, being informational fractals, join to form a hierarchical net resulting in a homeostat of a higher order.5 According to cybernetic laws, the higher-order homeostat controls all the lower-order ones included in its circuit. In the human organism, the system of classic Chinese meridians is an acupuncture homeostat of the highest order. It includes and rules all the smaller systems.
The size of the organism is a factor that results in different resolutions in the multitude of acupuncture systems. This directly impacts the clinical efficacy during a treatment period. This conclusion is borne out by the holographic principle as follows: if only a small portion of the hologram is illuminated, the whole image of the object still appears, but in less detail from fewer angles."6
Figure 3. Fractalization of the Cardiac Rhythm During a 24-Hour Period and a 1-Minute Interval
The pathology of an internal organ, of a system within the organism, or of a traumatic injury is momentarily reflected in all acupuncture systems on the field level. The main task of a clinician is to find the core of pathology and be able to influence it directly or indirectly. It is sometimes easier to do this by using a microsystem, where all the information about an individual is concentrated on a limited surface. The possibilities are limited by the respective resolving ability of a particular microsystem and, as a result, its influence on an organism. The most effective diagnostics and treatment are possible when performed with Classic and Extra Meridians. In some cases, lack of success (with these) is the result of a lack of knowledge and not due to a defect in the system.
This hypothesis of the formation of microacupuncture systems is somewhat abstract. It only models the process mathematically and physically, without the participation of the nervous, humoral, and other systems. Important to remember is that demonstrating mathematical laws in nature, including living nature, is universal. Concrete physiologic substantiation will perhaps be carried out in the future, probably in some unusual form, taking knowledge of this to the next level.
The fractal theory of the microsystems is a component of a more general fractal-field model of the organism. By using this model, it is possible to explain the mechanism of interaction between the living organism and a low-energy laser beam.
Additionally, the above-mentioned model is the theoretical basis of the electronic marker of acupuncture points (EMAP) therapy, a new trend in acupuncture actively being developed in Russia. The core of this method is the noninvasive informational influence on the organism by means of fractal electromagnetic fields, by means of the acupuncture points.
Confirming and explaining concepts in traditional Eastern acupuncture from the perspective of the laws of physics gives rise to new possibilities for diagnostics and treatment. Instruments and tests for specific diagnostics and EMAP therapy have been formulated. Their high level of efficacy have been proven for treating pain syndromes, strong arterial hypertension, chronic obstructive lung diseases with pulmonary hypertension, and eye diseases, as well as in pediatric practice.
Microacupuncture systems are one of the manifestations of fractalization, the universal principle of self-organization in nature. The number of possible microsystems is unlimited. Resolution of a microsystem and its influence on the organism depends on the size of its projection on the surface of the skin, mucous membrane, and periosteum. This influence is most effective at the points of the classic acupuncture meridians. The new and Extra Meridian points belong to microsystems that have yet to be described.
The medical effects of the microacupuncture systems need to be accepted fully. To do this, it is necessary to thoroughly explore the physiologic mechanisms of fractal-field theory as they apply to microacupuncture systems.
I express my gratitude to Sue Marriott for helping me with the English translation.
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- Nebrat V. The physical model of the low energy electromagnetic field influence
on the human body through the acupuncture points. Poster presented at 2nd European Congress "Acupuncture White Nights-97." St Petersburg, Russia; 1997.
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- Gariaev P. Wave genome. Public Profit. 1994.
- Stepanov A. The fundamental principle of the medical homeostatics. Voronezh, MODEC. 1994.
- Jarrett LS. The holographic paradigm and acupuncture. J Tradit Acupuncture. 1985;8:36-41.
- Fractal explorer. Link: http://www.eclectasy.com/fractal-explorer/index.html. Accessibility verified September 14, 2002.
Dr Vadim Bouevitch is a Medical Doctor and Licensed Medical Acupuncturist at the Hospital of Medical Rehabilitation, Amur Medical Academy, Russia. Dr Bouevitch is interested in classic acupuncture theories and their evidence with regard to physics.
Vadim Bouevitch, MD, MAc*
Hospital of Medical Rehabilitation
Krasnoflotskaya St 189
Blagoveschensk, 675000 Russia
Phone (office): +7-4162-421457; Home: +7-4162-356745 • Fax: +7-4162-350018 •
*Send all correspondence and reprint requests to Dr Bouevitch at the above address.\