The sacred geometry of life and the Golden Spiral

Source: Rafael Araujo

Sound and DNA

   The natural Phi spiral shape of the cochlea can be found planet wide in a majority natural organic based life.
   According to the Scottish composer Stuart Mitchel, DNA is a cosmic musical scale operating triplets of rhythm at over 3000 beats per minute.
   Changing frequency may also change the electric potential of the brain which may alter and affect memory and perception by the slight change and diamagnetic charge within the water in our cells.
   Some of the harmonic overtone partials of A=432hz 12T5 appear to line up to natural patterns and also the resonance of solitons. Solitons need a specific range to form into the realm of density and span from the micro to the macro cosmos. Solitons are not only found in water mechanics, but also in the spiral ion-acoustic breath between quarks and protons. The universe depends on the existence of solitons and without them vortex motion would not form.
The recent rediscoveries of the vibratory/oscillatory nature of the universe indicates that current contemporary A=440hz international concert pitch standard may possibly generate an unhealthy effect or anti-social behavior in the consciousness of human beings.
 A=440hz as a standard for concert pitch possibly may bring an unnatural 8 Hz dissonant change in how we think. DNA oscillates to protect itself from the environment and stress from dissonant interferance patterns of mechanical and electromagnetic waves may possibly effect the abilities of DNA to regulate our genetic makeup properly.  Our inner ear for example works on the basis of Phi dampening. The waters of our inner ears rely on Fibonacci spiral dampening through the seashell like structure of the cochlea to keep us feeling centered or grounded. This Fibonacci spiral shape helps cancel out certain standing wave interference patterns, like a Helmholtz resonator, in order to keep us properly balanced with the natural environment around us. When the inner ear is in stress by artificial means, we can experience a type of “fog like” condition or feel “spaced out”. The natural Phi shape of the cochlea can be found planet wide in a majority natural organic based life.
Some people experience vivid dreams and lucid experiences of spiritual connection, once the electrical potential of the sphenoid bone begins to regulate the cranial and spinal fluid in resonance from music tuned to A=432hz .

Sources:
http://omega432.com/432-music/the-importance-of-432hz-music
http://thestreetphilosopher.tumblr.com/post/15553189702/the-importance-of-a-432hz-as-a-concert-pitch-for

Cosmic entanglement

Can the theory of binary star systems be explained using the quantum entanglement theory? as what we find in macro cosmos we find in micro cosmos? entangled protons --- ''entangled suns''?

http://en.wikipedia.org/wiki/Quantum_entanglement#mediaviewer/File:SPDC_figure.png

 As the ''paired numbers'' in vedic maths? male and it's female pair? ying and yang? positive and negative?

There is this theory,confirmed by the most recent astronomical discoveries that all galaxies are made of inary star systems,and even the galaxies themselves have each their ''pair. So maybe everything in this Universe is made of dual systems,with opposite ''polarity'' ,as above,so bellow,from the quantum level to the cosmic level.

 How could it be otherwise? when our Universe is an infinite fractal structure?

 At the quantum level,there are the entangled pair of protons,one horizontally polarized,the other vertically polarized. At the macro cosmos level,here is the challenge to define rigorously this ''paired'' system,where there is this 90 degrees tiltement between the planes of the trajectories or the quarter delay in the phase of the wave on the quantum level. 

   Here I must state a very important observation,where I said ''planes of the trajectories'', it was a simplified way of illustrating the idea,because we already know that the trajectories of the planets and suns and galaxies and etc are far from being in one plane( as shown most commonly in the picture of a 2D spiral 

,they actually are 3D spinning like water draining spirals,more exactly,the trajectory is the generatrix of the torus.

Mechanisms of life encoded also in magic numbers

    Remember the 432 Hz Pythagorean Tuning ?
    Well, first of all, here is about T Hz ( 1 Terra Hertz =10*12 Hz ) ,not Hz.
     Now consider the speed of light in m / sec
       c= 299792000 m / sec (actually,it is 299792458 m / sec) ,
  the frequency of vibration ν in sec*-1 and the wavelenght  λ in m,
   we observe that starting with the magic number 432 we get from the equation
                                             c / ν = λ
 the interesting bi-correspondence between the 2 magic numbers 432 and 693:
                           (299792000 m / s) : (693 ⋅10*12 s*-1) = 0.000000432600 m ≈ 432 nm
                  and  ,obviously, viceversa
                           (299792000m / s ) : ( 432⋅10*12 s*-1) = 0.000000693963 m ≈ 693 nm
    ( here again the self repeating sequence 6 ,9 ,3 ! )
   or more simply:
                                  c / 693 THz = 432 nm
                                  c / 432 THz = 693 nm
(should I mention that 693 / 432 = 1.60416...... ? ..... ;-)  )
   Connected with these, there is known that photosynsthesis depends upon the absorbtion of light by the pigments from the leaves of the plants.

   Absorbion described mathematically by a function curve which has the maximum values at certain wavelenghts!

    Which wavelenghts?
    .......take a look  :
          
                                               

                   
          I think no comments are necessary..... ;-)

          And,by the way, the light with 432 nm and 693 THz is the violet light in the visible spectrum,the colour of the crown chakra.
          And also by the same way ;-) ,the colour from the visible spectrum which has the frequency  of 528 THz ( also a magic number from  Randy Powell's diagram) is the yellowish-green colour of the chlorophyll......!! (wavelenght  ≈ 567 nm ), the heart of the visible spectrum,the colour of the heart chakra.
    ............. just things to meditate on .... ;-) ...

        And also related with these and what I want to illustrate next,I need to tell the reader a little about the electromagnetic spectrum. ( from Wiki )
        
    The electromagnetic spectrum is the range of all possible frequencies of electromagnetic radiation.

    The electromagnetic spectrum extends from below the low frequencies used for modern radio communication to gamma radiation at the short-wavelength (high-frequency) end, thereby covering wavelengths from thousands of kilometers down to a fraction of the size of an atom. The limit for long wavelengths is the size of the universe itself, while it is thought that the short wavelength limit is in the vicinity of the Planck length, although in principle the spectrum is infinite and continuous.

       So,related to the things from above, Terrahertz radiation is a region of the spectrum  for 
       the far infrared radiation ( wavelenght between 5.6 - 1000 microns) ,
   which happens to contain the resonant frequencies for water molecules!
   The water is the most susceptible thing in the Universe to absorb information!
      

All the great mysteries of the Universe encoded in magic numbers

      I strongly feel this is where we have to start, here with the words of Nicola Tesla,who wasn't permitted to speak out and finish his great research,due to political and economical interests.
    Within an interval of a few weeks,so that you can't,you just can't think of an coincidence,I saw today a ''news'' broadcasted ,about a declaration of Stephen Hawking : ''there is no black hole in the Universe!''
    Wao....really?for about just a few weeks ago, Nassim Haramein started to peer-rewiew his work about the unified field theory,achieving to do what Einstein hasn't finished,that is to state out an equation that describes all the forces in the Universe: gravitational force,electromagnetic field  and subatomic forces.  In an interval of only a few weeks,Stephen Hawking has suddenly arrived at the conclusion that there is no black hole in the Universe,in the same time when Nassim Haramein demonstrates the opposite ,basicly the whole teory of Nassim is based on the existence of black holes and even more,that every atom is a black hole....all the Universe is made of black holes!
    For me it is an obvious fact,but very disturbing and upsetting,that is clearly a deturnation of the public attention from a big truth that is finally coming out in the world,that is the theory of Nassim ,theory which is a big step towars understanding how the Universe works and finally to creating free and non-limited green energy!
   Well,enough  with the politics,let's return to the magic world of numbers and  the music of numbers!
    First of all,I want to state out the incredible syncronicity factor in the matter of the measurement units of  lenght and time and so on, units what we ''enherited'' from the ancients ,because we use today units like mile(interestingly,we tranform miles into kilometers by the multiplication of 1.61....) ,foot, minutes ,years,which has incredible matches and links with everything in the Universe,from the microscopic level,electrons,protons...to the macroscopic level,laws of the orbits of the planets,sizes and astonishing relationships between the dimensions,phenomenae and moving laws of the stars and galaxies.....the list is very long,practicly everything links to everything.
 ....here I will state a few humble examples that I've found without even looking too persistently to find them ,I've found these things on the road of searching something else....
   .....The mysterious number 432 ( which reduces to the 9,always the 9,the fix number of the magic torus of Marko Rodin 4+3+2=9 )  multiplied by 60 aproximates very closely the  

                       Precession of the Equinoxes:                    
                       432 x 60=25920 years, a very good aproximation of 25827 years.
    
     The speed of light: 186000 miles /second ( 432 x 432=186624 )

     Also the number 60 seems to have important significancy in astronomy measurements,that's why we measure time by the multiplication of 60 (60 seconds = 1 minute and so on ... the 60 x 432 years of the Precession=the period of time in which the direction of our planet axis makes a compete cycle through the 12 Constellations of the Galaxy......and so on further.... )

      The speed of sound in granite (at room temperature) is  
                                  12960 feet per second. ( 12960=432 x 30 )

      The Earth is 21,600 nautical miles around the equator.. This measurement is based on the ratio of 360 x 60 first used by the Phoenicians and still in use by modern ocean and flight navigators.


      The equatorial radius of the Sun:  ≈ 432000 miles!

   And here there are a few of the fundamental units in Pysics|:

       elementary charge   e = 1.602176462 x 10^-19 Coulombs
       electron volt             eV = 1.602176462 x 10^-19 J
       Planck length           l_P = 1.616 x 10^-35 m
       atomic mass unit      m_u = 1.6605387 x 10^-27 kg
       proton mass             m_p = 1.6726216 x 10^-27 kg
      These last 5 fundamental values are so close to 1.6 , and I think they are very good aproximations of the number phi ,becasuse we are dealing here with very small values,with lots of zeros  ,for example
       e= 0.00000000000000000016..... Coulombs,
  so I think we may say that an aproximation of 18 digits it's a very good accuracy, mentioning also the fact that our modern measurements of such little amounts of energy are susceptible to errors.
    Another interesting example found in the formula describing the black hole power radiation :




                 The number 15360 = 1536 x 10= 60 x 256 = 1.6 x 1.6 x 6000

                Again the multiplication by 60 and by the aproximate value of phi.
      Another example of the presence of the multiplication of phi:
               

Density of the center of the Sun  = 1.622×105 kg/m3

       
                 A list of the magic numbers( 12, 432, 256, 1536, 186624 .....etc ), which have key-meanings for the interpretation of how the Universe works ,you can find here:

          The most harmonic numbers

         The reader may easily say: these are only coincidences.
         Maybe so.....or maybe not.....Maybe there are no coincidences.
         I think numerology gives us powerful informations about how the Universe works and the numbers are syncronicity keys for the mysteries of the Universe.
         All great mathematiciens were also philosophers or astronomers ( or both) ,not by coincidence... ;-) ,but because numerology leads in a natural flow to the laws of the Universe , to some kind of  ''philosophiae naturalis'' they all talked about in their personal perception ( Pitagoras, Newton ,Descartes, Leibniz, Kepler ....and so on).
       The fundamental premise of numerology is that the Universe is not a  random system, and that numbers reflect the perfect orderliness of the Universe. Numbers are by definition orderly.
      If the universe were ruled by unpredictable events, there would be no sustainable structure to it. On the contrary, the universe not only maintains form and structure, it also changes in precise and orderly ways.
      We are continually witnesses to this process of change: Day turns into night, and night turns into day; winter is followed by spring, and summer is followed by fall; apples grow on apple trees, and figs grow on fig trees, and they never, ever, get confused.
     Orderliness can be seen in every aspect of existence, from the subatomic world to the world of stars and galaxies.
    Much more,there is not only orderliness,but also you can see patterns everythere in everything,in a repetitive way, a fractal  type structure of the Universe.
    I think we all agree on that(at least my reader does).
     And to describe this perfectly organized Universe,we start with the numbers,which will define laws of movements,laws of  forming and creating life ( we are made of stardust: oxygen,carbon,hydrogen,nitrogen.....) , laws of the perpetuum mobile of the Universe flow......
      

The magical Phi in the Great Pyramid

     The Great Pyramid of Giza, .... Egypt....
     This  astonishing construction was built with an incredible accuracy, far beyond the one achievable by our current technology. 
     Further more,its dimensions and the proportion between them have meaningful relations with the Sacred Geometry.
     For example, the ratio of the apotem to half the base obeys the Golden Ratio and  the perimeter of its base equals that of a circle with a radius equal to its height. 
     Also, the angles of the Great Pyramid hide the Euler number. 
     First, for a better understanding,we need to review the properties of the Kepler triangle.
     Then we will show that the dimensions of the Earth and Moon obey the same proportions as the dimensions of the Great Pyramid, and that they can be directly obtained using the Phythagorean 3-4-5 triangle. And finally, we will show how the exact dimensions of the Great Pyramid obey a very simple formula related to the cubes of some specific integer values.
      We know there is only one right-angle triangle whose sides are in an arithmetic progression, the Phythagorean 3-4-5 triangle. 
     Similarly, there is only one right-angle triangle with edge lengths in a geometric progression, known as Kepler triangle. 
     Do you guess what magic number is involved in this triangle? Yes, as it could not be another way, it is the Golden Ratio!
     The sides of Kepler triangle obey the progression $\mathrm{ }$

$\mathrm{ \; \; \; \; 1}:\sqrt{\phi }:\phi$

      This triangle approximates the Squaring of the Circle with an error of 0.096% , which exemplifies the known relationship between π and φ:


$$\sqrt{\phi }\approx \frac{4}{\pi }$$
            
       But the Great Pyramid squares the circle with a better approximation than the one obtained from Kepler triangle.

	2b	h
	440 ec	280 ec
	755.9 ft	481.0 ft
	230.4 m	146.6 m
Table 1: Accepted dimensions of the Great Pyramid of Giza (from Wikipedia), given in egyptian cubits (ec), in feet (ft) and in meters (m).

    1. An amazing property  is the presence of 
  
                                     the Golden Ratio 

      in the Great Pyramid with a high accuracy, as the ratio of the apotem to half the base:

$$\frac{a}{b}=\frac{\sqrt{{220}^2+{280}^2}}{220}=1.618590347\equiv {\phi }_{\mathrm{r}}=\phi \pm \mathrm{0.03\%}$$$$$$

$$$$$$\mathrm{<span\; style="font-family:\; georgia,serif;">The\; triangle\; <i>a-b-h</i>\; shown\; in\; Table\; 1\; is\; very\; close\; to\; a\; Kepler\; triangle. </span>}$$$$\mathrm{<span\; style="font-family:\; georgia,serif;"> </span>}$$

$$\mathrm{<span\; style="font-family:\; georgia,serif;"><b> </b></span>}$$  2. The Great Pyramid also exemplifies in stone 

                                      the Squaring of the Circle. 

      If you draw a circle with radius equal to its height, its perimeter will be the same as the base of the pyramid with an error as low as 0.04%:

$$\begin{array}{c}\mathrm{square}⟶8b=\mathrm{1760\; ec}\\ \mathrm{circle}⟶2\pi h=\mathrm{1759.2919\; ec}\end{array}$$
The fact that the Great Pyramid approximates the Squaring of the Circle with a better accuracy than Kepler triangle is due to the use of the rational approximation of π/2 in the ratio of height to base :
$$\frac{\pi }{2}\approx \frac{11}{7}=\frac{440}{280}$$Therefore the rational approximation π_r of π is given by:

$${\pi }_r\equiv \frac{22}{7}=3.142857143=\pi \pm \mathrm{0.04\%}$$

$$\begin{array}{}\end{array}$$3. The dimensions of the Great Pyramid also hide another important number in science,$$\begin{array}{}\end{array}$$  

                                       the Euler number  e.

      $$\begin{array}{}\end{array}$$Rick Howard's research has shown that the ratio of the two angles in the triangle a-b-h$$\begin{array}{}\end{array}$$in the Great Pyramid (Table 1) provides a very accurate approximation e_r of e:$$$$$$\mathrm{<span\; style="font-family:\; georgia,serif;"><b> </b></span>}$$

$$e_r\equiv \frac{2\beta }{90-\beta }=\mathrm{2,717323980}=e\pm \mathrm{0.035\%}$$$$$$
The following table illustrates and summarizes the three key numbers contained in the 

dimensions of Great Pyramid of Giza:

Key Number	Exact Value	Great Pyramid	Error
φ	1.618033989	1.618590347	0.03%
π	3.141592653	3.142857153	0.04%
e	2.718281828	2.71732398	0.04%
Table 2: Key numbers hidden in the dimensions of the Great Pyramid of Giza.

4.The Great Pyramid also contains the diameter of the Earth and Moon.

      
           The squaring of the circle in the Great Pyramid of Giza is a diagram that allows the precise determination of the diameter of both the Earth and the Moon. You need to draw an incribed circle inside the square (the Earth) and a small circle centered at the apex and tangent with the preceding one (the Moon). At each side on top of them there are two exact 3-4-5 Pythagorean triangles (Figure above). 

This old known 3-4-5 triangle allows to calculate the "magic" number 720 as follows:
 $$\begin{array}{c}\mathrm{ \; 3}+4+5=12\\ \mathrm{ \; 3}\times 4\times 5=60\end{array}\}⟶12\times 60=720$$

     From it and the proportions of the Great Pyramid as shown in the figure above,

     the diameter of the Earth and Moon in miles can be directly determined:

 $$\begin{array}{c}\mathrm{ \; Earth:}11\times 720=\mathrm{7920\; miles}\\ \mathrm{ \; Moon:}3\times 720=\mathrm{2160\; miles}\end{array}$$

4.

  Angkor Wat is 4,745 miles from the Great Pyramid and the Great Pyramid is 7,677 miles from Nazca.       This is a precise expression of φ:

4,745 x 1.618 = 7,677

 

   A very beautiful perspective shows the φ ratio encoded in the distances between these ancients sites :





 
  

                                      

4,754 x 1.618 = 7,692

4,754 + 7,692 = 12,446 

7,692 x 1.618 = 12,446

 The Great Pyramid encodes much more information than we presented in this article. We encourage the reader to make his/her own search for information.
      At a higher astronomical scale, it is known that the Great Pyramid hides  
       the grand cycle of Precession of the Equinoxes of our solar system around the central sun of the Pleyades (25827.5 years) 
    in many of its dimensions (for example in the sum of the diagonals of its base expressed in pyramidal inches). 
    It is also well known that the three pyramids in the Giza complex are aligned with the stars in the Belt of Orion. 
    The interested reader is directed to the extense research of catalan architect Dr. Miquel Pérez for further information. 
     It appears that we can draw a single conclusion from all the preceding: the architects of the Great Pyramid of Giza were extremely wise beings, with an advanced knowledge of math and astronomy far beyond the standard of their time,  far beyond our own current knowledge.


  The source of information for this post were : 

        http://www.sacred-geometry.es/en/content/phi-great-pyramid

        http://home.hiwaay.net/~jalison/phi2.html
       

All about Fibonacci and the magical ''phi''

Fibonacci and the magical number phi