Vedic Wisdom & Structural Harmony of Systems

First International Conference of ISIS 2013 on “Ancient Indian Wisdom and Modern World”

Denis Kleschev

New-Delhi, 2013

Russian Sanskritist Vladimir Toporov considered, that mythological texts have

multi-dimensional existential structure:

M tn

M – image of Myth

tn – mental

plane of TimeOne image (M) expresses

various ideas in the Time (tn)

“Six Wide” spaces in Rig-Veda

Six intervals for musical tones: 2 → 4 → 8; 3 → 9 → 27.

World Soul in Plato’s “Timeo”: 1 + 2 + 3 + 4 + 8 + 9 + 27 = 54.

1 = Purusha (Yama + Yami)

108 = 54 x 2(Yama + Yami)

or Even-Odd number in an Antiquity

108 is a sacral number

of Brahma, Rudra, number of Buddha,

Kali-Ма etc

Man’s-Female beginning

(VI,47,3; X,14,16; X,128,5)Hexagrams in Chinese “Book of Changes"

Platonic Solids:

Element “Earth” in Rig-Veda:

- 8 “Mountains”- 7 “Rivers” (from each mountain)

“Earth” “Water”“Flame” “Ether”“Air”

Kepler’s Cup: the orbit of each planet is constructed by means of Platonic Solids.

The trajectory of Venus each 8 years describes a correct Pentagram

in the sky.

The Solar Calendar

contains 365 days = 12 sides

х 30 edges of a dodecahedron

+ 5 edges of a transitive side.

The molecule of Water (H-O-H)

forms a sacral corner of 108 degrees.

= = 0.618 = φHF FC

FC AC

We constantly meet Numbers of Harmony φ = 0.618… or Ф = 1.618… or Fibonacci Spiral

in the Nature and Human’s Art.

Structural Harmony in the Nature

Harmony in proportions of a Human…

…in Architecture

…in Space & Fractals

Prof. Aleksey Stakhov has proved, that Fibonacci-algorithms are

optimum system of measures. Evolution of all difficult systems

aspires to Mathematics of Harmony.

The Book of Prof. Stakhov “The Mathematics of Harmony“, assisted by Scott Olsen: World Scientific Publishing, 2009.

He has patented theoretical base of the stable microprocessors working on a Bergman’s notation

& Stakhov’s algorithms.

Prof. Sergey Petukhov has found out connection of a genetic code

with Adamar’s matrixes, number Ф and musical Pythagorean tones.

Prof. F. Jacob (Nobel prize winner)believed, that structure "Book of changes" has the direct relation to language of genetics.

Prof. Jean-Clode Perez has found in nuclear structure of DNA the resonances dividing DNA-molecule on a Fibonacci-numbers.

“Book of changes" and 64 triplets of DNA

Prof. Sergey Jakushko has shown, that the structure of chemical elements

in Mendeleev's table is a imageof inverse Fibonacci-numbers.

I period II period

III period

IV period

V period

VI period: tg 7º07’ … = 1/8

VII period: tg 5º … = 1/13

The inverse Fibonacci-line: 1/1, 1/1, 1/2, 1/3, 1/5, 1/8, 1/13

Prof. Eduard Soroko has explained occurrence

of stable structures. Entropy in ideal thermodynamic

system does not decrease and does not increase:

Root of this equation is φs or a set of conditions

of thermodynamic system with a constant-entropy.

Russian scientist Vladimir Vernadsky studied

a phenomenon of biological time.

Pascal's triangle:the sum of numbersof each bottom lines is more doubled.

Biological time is connected to the period

of population-doubling that conducts

to Ancient triangle.

Prof. Simon Shnol studies oscillatory processes

in biochemical reactions. Has found out correlations of biochemical cycles with

the rotation-periods of the Earth and other planets.

S.E.Sholl. BIOLOGICAL CLOCKS:“In each animal and plant cell, there exist genes which determine

the circadian periodicity of vital activity. These intracellular clocks adjust their course to the periods of the changes of night and day (the light and dark time of the day).

Changes in temperature have little effect on these clocks. The main clocks are found in the Central Nervous System (CNS) and control the course of clocks in the other cells”.

The treatise Indian mathematics Pingala

contains the most ancient mention of Fibonacci-

numbers, binary system, binomial coefficients

and the Pascal’s triangle (or sacred pyramid

Mahatra-Meru).

Sanskritist Michael Mikhajlov has proved, that Vedic texts can be read with the help of mathematical and astronomical Pingala’s code.

Thanks for attention!

So, Mathematical Harmony is Vedic Dharma

keeping existence of all known structures in the Universe.

Ignoring of Dharma results to the crisis

in any thermodynamic system. A modern science it is necessary

to concentrate on achievement of Harmony.