The Golden Ratio & GOD's 19 Signature

  In the 12th century, a man named Leonardo Fibonacci questioned what the population growth of rabbits would be like under ideal circumstances, such as no predators to eat them, or lack of food and water that would affect the growth rate. The results of this experiment are what is now known as The Fibonacci Sequence of Numbers or Fibonacci Numbers, and it goes like this. Starting with 1, each new number in the series is simply the sum of the two before it. So, you take “1” and add it to the previous number “zero” and you get “1”. Then 1 +1 =2 etc. etc. Eventually you have a sequence of numbers that looks like this.

 0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584.. and continues on forever

 This sequence can continue on forever. As it turns out, Fibonacci numbers are one of Nature's numbering systems. Not only do they appear in population growth of rabbits, but everywhere in Nature. From the leaf arrangements in plants, all the way to structures in outer space. Many flowers that are to Fibonacci numbers. Some display one pedal. Three pedals are more common like lilies and iris’. Some have 5 pedals such as buttercups, wild rose, larkspur, and columbines. Some have 8, 13, 21, 34, 55 and 89. All consecutive Fibonacci numbers. Even some fruit’s seeds tend to Fibonacci Numbers.

This sequence can continue on forever. As it turns out, Fibonacci numbers are one of Nature's numbering systems. Not only do they appear in population growth of rabbits, but everywhere in Nature. From the leaf arrangements in plants, all the way to structures in outer space. Many flowers that are to Fibonacci numbers. Some display one pedal. Three pedals are more common like lilies and iris’. Some have 5 pedals such as buttercups, wild rose, larkspur, and columbines. Some have 8, 13, 21, 34, 55 and 89. All consecutive Fibonacci numbers. Even some fruit’s seeds tend to Fibonacci Numbers. 

                          1 pedal                                          3 pedals                                                       5 pedals                

                                                       13 pedals                                                    21 Pedals

Here are consecutive Fibonacci numbers found in the bi-directional spiral growth pattern of seed in many plants.

                                                21 spirals one direction             34 spirals opposite direction

    8 spirals one direction                  13 spirals opposite direction

Clearly, there is a direct correlation between the bi-directional spirals of the seed florets and Fibonacci Numbers.

Fibonacci Numbers are directly and intricately related to another very special math formula that is found all throughout life and the physical universe. This is the Golden Ratio or “Phi” (as it is more commonly known). It is an irrational number who’s decimal place is never-ending, non-repeating and goes on forever and it looks like this. 

1.6180339887498948482045868343656381177203091798057………to infinity

Although, for the most part scientists and academics alike have rounded it off to five decimal places. So, for all intensive purposes the Golden Ratio (or Phi) is 1.61803.

How is the Golden Ratio related to Fibonacci numbers? If we were to divided each consecutive Fibonacci number, instead of adding. We find the results gradually converge on The Golden Ratio. (see above diagrams). Okay, now if you look at the chart on the left. This red line represents the Golden ratio 1.61803. These dots represent the results of dividing two consecutive Fibonacci numbers .As you can see, dividing consecutive Fibonacci numbers gradually converges on the Golden Ratio. The results hover a little more (+) and a little less (-) to the Golden Ratio (Phi). The reason they do not equal the Golden Ratio is because it is an irrational number in which the decimal goes on forever. Nothing can equal it; only tend to it.

              Divided Consecutive Fibonacci Number Results                                              Fibonacci Numbers

For over 2000 years, humans have been in absolute awe about this very special math phenomena and the physical universe because it kept popping up in places that, at first, seemed unrelated. This phenomena is The Golden Ratio (or Golden Proportion, Golden Mean, Divine Proportion, Divine Ratio or Phi) and it is best explained visually.

 If you take a straight line “A” and split it in one very special place and only this place. We find that the whole or Line “A” is exactly 1.61803 times larger than line “B”. And line “B” is exactly 1.61803 times larger than line “C” .

 So, the Golden Ratio is A/B = B/Cor more simply… A is to B, as B is to C. 

 Now, if we take that same line above and keep growing (increasing) it to the Golden ratio we get a set of lines that are all 1.61803 times larger than the one before it (see below).

  If we were to take these five (colored) lines and squeezed or compressed them together into one line, we would get a sort-of measuring stick or “Golden Ruler” (www.goldenumber.net) that we can use to measure things in the universe to see if they are to the Golden Ratio (or Golden Proportion) or not.

We can even expand this Golden Ruler to a Golden Grid. Just factor in length and width. Now we can take surface area measurements.

 Okay. Lets start measuring things.

 The Human Arm

 Human Finger:  The human finger it to the Golden Ratio. As you can see below. The Pink line is 1.61803 times larger than the Green line. The blue line is 1.61803 times larger than the Pink line and the Red line is 1.61803 times larger than the Blue line. Perfect Golden Proportion.

Human Hand:  Here is clearer view of the human hand.

 You can also see that when you put a ruler up to it, they are consecutive Fibonacci Numbers, but remember, dividing consecutive Fibonacci numbers gradually converge to the Golden ratio (see chart earlier in article for divided fibonacci results).

Penguin:  Key body markings are to the Golden Ratio.

Ants:  The body sections of ants are to the Golden Ratio.

The Human Body

Human Face: Key facial features are to the Golden Ratio

Tiger: Here is the face of a Tiger. Again, key facial features are to the Golden Ratio.

 Dolphin

The eye, fins and tail all fall at golden sections of the length of a dolphin's body.  Pay attention to the fact the Golden ruler has to be reversed of “flipped” in order to observe the Golden ratio on opposite sides of a living organism (belly side vs. back side). This is common with many life forms.

When looking at an electrocardiogram (ECG or EKG), it is said by some that a heartbeat at rest beats in a Golden Ratio rhythm. While this is an area that still needs research and scientific corroboration, it is an interesting perspective on yet another potential appearance of the Golden Ratio in life.  

Here is a musical instrument. 

Over the centuries, it has been designed by trial and error, without the aid of computers. What is interesting is that it was not made to the Golden Ratio intentionally. What the designers found was that the closer the design was to the Golden Ratio, the better the quality of sound. It appears that even sound waves and harmonics tend to the Golden Ratio. Just on a side note. The Composer Mozart divided a huge number of his sonatas into two parts whose lengths reflect the Golden Ratio. Although there is much debate about whether he was conscious of this or not. It seems as though we are hard-wired in some way to this Golden Ratio.

Rings Of Saturn

The Rings of Saturn are to the Golden Ratio.

DNA

BODY TEMPERATURES

Body temperatures and sterilization points fall near the phi (Golden Ratio) points between freezing and boiling

Golden Angle: 

If we take a line that is split in Golden Proportion and grabbed the ends of it with our hands and bent in arount into a circle we would get a circle whose circumference is split to the golden Ratio. From this we can find the “Golden Angle”, which is 137.5 degrees.

We find that many plants, trees and flowers (not all) tend to branch to the Golden Angle. In other words, for every 137.5 degree turn a new leaf or branch forms. This is another example of how Fibonacci Numbers are directly and intricately linked to the Golden Ratio. In this case, the Golden Angle.

There are critics who say that the Golden Ratio is not found in everything. However, we know the Fibonacci Sequence is directly linked to the Golden Ratio and The Fibonacci Sequence was based on Population growth under conditions. In other words, PERFECT, NO EXTERNAL or ENVIRONMENTAL FACTORS THAT WOULD INFLUENCE the rate of population growth. Obviously, this not the way it really is in Nature. Thus, we will not find this pattern in everything because external or environmental factors change the way things grow. Here are some pictures from northern Canada.

As you can see. These trees have completely changed the way they grow to because of a constant wind blowing from one direction. The tree could not grow normally. Hence, we are not going to find the Golden Ratio here. We can’t as ideal conditions are not present. But that is not to say that the Golden Ratio was not present in the early stages of growth.

The Golden Rectangle

If we were to make a rectangle whose length and width are in Golden Proportion, we would get a Golden Rectangle.

Now, we can also make more Golden Rectangles or nested Golden Rectangles. What is even more interesting is that we can create a Golden Rectangle from Fibonacci Numbers too. Just square each Fibonacci Number.

 Where can find this in the physical universe?

OUR SOLAR SYSTEM  : Relative planetary distances     (Picture is NOT to scale)

Usually when we measure the orbital distance of planets, we are measuring the distance from us on earth. However, earth is not the first planet in our solar system, Mercury is. So, to take measurements from earth would be like starting the Fibonacci sequence from somewhere in the middle of the sequence (ie: 5 or 8). Now, if we were to start measuring from the first planet in our solar system, Mercury. Something very special begins to unfold. Please note: The asteroid belt is part of our solar system and the largest asteroid is Ceres, which is 1/3 the total mass of all the asteroids. So, Ceres was the logical orbit to use. 

If you take the average of the mean planet orbital distances of each successive planet in relation to the one before it…….

We find the degree of variance is only 0.00043 off from the Golden Ratio 1.61803. You can’t get much closer than that!!

The sheer preponderance of this phenomena in both organic and inorganic world in all scales of the universe proves beyond a doubt that the Creator of the Heavens and the Earth is the same ONE GOD.

The Golden Ratio and GOD's '19' Signature

[Quran 41:53] We will show them our proofs in the horizons, and within themselves, until they realize that this is the truth. Is your Lord not sufficient as a witness of all things?

REMEMBER THIS VERSE.

Is there a common factor in the Fibonacci sequence? The Golden Ratio / Fibonacci Numbers are related to organic and inorganic design/growth. In 1974, it was discovered that the Quran was mathematically structured to the prime number '19' in a way far beyond human ability.  GOD created the heavens and the earth and everything in between.  Therefore, it would not be unexpected to find GOD's mathematical signature (19) embedded in the Golden Ratio somehow. Lets look at the Fibonacci numbers and see if any of them are divisible by '19'.

    It appears '19' does not have any significance with Fibonacci Numbers. However, the 19th Fibonacci Number 2584 was divisible (19 x 136 = 2584). As well, the digit sum (2+5+8+4) was 19. So far, these two parameters are in perfect harmony with the math miracle of the Quran. Although, this could just be a coincidence. Thus, more investigation is required. However, a reminder of a couple of key points is necessary.

First, I would like to remind you that the Golden ruler had to be reversed of 'flipped' to reveal the Golden ratio on anterior or posterior side of a living organism. The dolphin demonstrated this quite well. 

Secondly, the Golden ratio (1.61803.....) is linked to the Fibonacci sequence as the results of divided consecutive Fibonacci Numbers gradually converge on the Golden Ratio (1.61803....).  The results are always a little more (+) or a little less (-) as they converge.

 Now, lets get back to the Fibonacci Numbers. The 19th Fibonacci number (2584)  was the first number divisible by 19, but the only number where it's digit sum equals it's index in the sequence.  I tried other factores but none of the numbers divisible by their index had the digit sum equal it's index or divisor. So, right away '19' had a feature unique to the other Fibonacci numbers, yet in perfect harmony with the Quran's math miracle of '19'. Again, this could be just a coincidence.  

Starting from the 19th sequence, I was curious to see how far off the other Fibonacci numbers were from being a multiple of 19. This is when something fascinating was unveiled. The numbers needed to get a multiple of 19 is the same Fibonacci Sequence in reverse.  In fact, the calculation formula perfectly reflects how the Golden Ratio manifests itself physically in lifeforms (refer Dolphin & Golden ruler above). In addition, the formula needs alternating "addition" and "subtraction" to find the '19' signature. This too, perfectly reflects the way Fibonacci numbers converge on the Golden Ratio 1.61803.... (see chart directly above) with the results alternating a little more and little less from the Golden Ratio.

Fibonacci numbers are all about growth , so the next number in the sequence if we continued on, cannot be less than zero. Therefore, we have to continue where the sequence left off. For 2584 we must continue on to  the next Fibonacci number 4181. For 'zero' we have to start the sequence over again with 1,1,2,3,5,8,13  and so on.

Using this flip formula that perfectly reflects the way in which the Golden Ratio & Fibonacci numbers manifest itself in nature, we find every result all the way to infinity is a multiple of 19 only.  The fact that the formula itself mimics the physical manifestation of the Golden Ratio in nature is striking and profound.

As you can see, every single result to infinity is perfectly divisible by 19 specifically. 

Keep in mind, this "copy & flip" phenomena can be found in another place. The building blocks of life, Deoxyribonucleic Acid or DNA.

[74:30]  “OVER IT IS 19”

AN INTERESTING POINT

In Sura 30, verse 27 (30 + 27 = 57 or 19 x 3) we learn that the creation of everything in the heavens and the earth has the most awe inspiring similitude. This is the ONLY place in the Quran where GOD mentions this.

[30:27] And He is the One who initiates the creation, then repeats it; this is even easier for Him. To Him belongs the most sublime similitude, in the heavens and the earth, and He is the Almighty, Most Wise.

GOD is telling us there is awe inspiring similarity among all things in the heavens and the earth. The Golden Ratio / Fibonacci Numbers is the one mathematical phenomena that is found in all levels and scales of the organic and inorganic world.  Now, take another look at the Fibonacci 'flip' formula. You will notice that the 10th sequence (34 - 34 = 0) is actually the starting point of the formula where numbers go off in both directions giving multiples of 19. It is the beginning.