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.

 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

Now, the one common thing that all life has in common is DNA. Instead of centimeters or inches, Angstroms are the unit of measure used for DNA. Here is a full segment of a DNA. It is roughly 21 angstroms wide & 34 angstroms long for each full cycle of its double helix spiral. 21 & 34 are consecutive Fibonacci Numbers.  But wait. There is more. If you look at the two grooves created by the twisting of the double helix strand. It creates a major groove and minor groove that is to the Golden Proportion. By now you probably won’t be surprised, but the major grooves and minor groves that created form twisting the DNA strand are consecutive Fibonacci numbers 21 & 13.

Body temperatures vary, even within humans. The body temperatures of mammals range from around 97° to over 103° Fahrenheit. Birds have average temperatures of around 105° Fahrenheit. The phi (Golden Ratio) point between the freezing temperature (32° F) and the boiling temperature (212° F) of water is 100.8° F, or 38.2° Centigrade. Take the phi (Golden Ratio) point from the other end of the scale of temperature and you arrive at 143°, which is about the temperature required to kill bacteria. (Generally rounded and stated as 140° in most literature.)

    

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.

Yet another example of how Fibonacci Numbers are directly & intricately related to the Golden Ratio. In this case, the Golden Rectangle.

Now, if we were to draw a line connecting all the Fibonacci numbers in order a very shape/pattern emerges called the Golden Spiral. Yet, another way in which the Golden ratio manifests itself in nature.

 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

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.

 

 

Numerical	Fibonacci			Result	Divide
Index	Numbers				By 19
1	0	Add	2584	2584	136
2	1	SUBTRACT	1597	-1596	-84
3	1	ADD	987	988	52
4	2	SUBTRACT	610	-608	-32
5	3	ADD	377	380	20
6	5	SUBTRACT	233	-228	-12
7	8	ADD	144	152	8
8	13	SUBTRACT	89	-76	-4
9	21	ADD	55	76	4
10	34	SUBTRACT	34	0	0
11	55	ADD	21	76	4
12	89	SUBTRACT	13	76	4
13	144	ADD	8	152	8
14	233	SUBTRACT	5	228	12
15	377	ADD	3	380	20
16	610	SUBTRACT	2	608	32
17	987	ADD	1	988	52
18	1597	SUBTRACT	1	1596	84
19	2584	Add	0	2584	136

 

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.

 

 

Numerical	Fibonacci	Calculation	Reversed	Result	Divided
Index	Number		Fibonacci No.		By 19
1	0	ADD	2584	2584	136
2	1	SUBTRACT	1597	-1596	-84
3	1	ADD	987	988	52
4	2	SUBTRACT	610	-608	-32
5	3	ADD	377	380	20
6	5	SUBTRACT	233	-228	-12
7	8	ADD	144	152	8
8	13	SUBTRACT	89	-76	-4
9	21	ADD	55	76	4
10	34	SUBTRACT	34	0	0
11	55	ADD	21	76	4
12	89	SUBTRACT	13	76	4
13	144	ADD	8	152	8
14	233	SUBTRACT	5	228	12
15	377	ADD	3	380	20
16	610	SUBTRACT	2	608	32
17	987	ADD	1	988	52
18	1597	SUBTRACT	1	1596	84
19	2584	ADD	0	2584	136
20	4181	SUBTRACT	1	4180	220
21	6765	SUBTRACT	1	6764	356
22	10946	SUBTRACT	2	10944	576
23	17711	SUBTRACT	3	17708	932
24	28657	SUBTRACT	5	28652	1508
25	46368	SUBTRACT	8	46360	2440
26	75025	SUBTRACT	13	75012	3948
27	121393	SUBTRACT	21	121372	6388
28	196418	SUBTRACT	34	196384	10336
29	317811	SUBTRACT	55	317756	16724
30	514229	SUBTRACT	89	514140	27060
31	832040	SUBTRACT	144	831896	43784
32	1346269	SUBTRACT	233	1346036	70844
33	2178309	SUBTRACT	377	2177932	114628
34	3524578	SUBTRACT	610	3523968	185472
35	5702887	SUBTRACT	987	5701900	300100
36	9227465	SUBTRACT	1597	9225868	485572
37	14930352	SUBTRACT	2584	14927768	785672
38	24157817	SUBTRACT	4181	24153636	1271244
39	39088169	SUBTRACT	6765	39081404	2056916
40	63245986	SUBTRACT	10946	63235040	3328160
41	102334155	SUBTRACT	17711	102316444	5385076
42	165580141	SUBTRACT	28657	165551484	8713236
43	267914296	SUBTRACT	46368	267867928	14098312
44	433494437	SUBTRACT	75025	433419412	22811548
45	701408733	SUBTRACT	121393	701287340	36909860
46	1134903170	SUBTRACT	196418	1134706752	59721408
47	1836311903	SUBTRACT	317811	1835994092	96631268
48	2971215073	SUBTRACT	514229	2970700844	156352676
49	4807526976	SUBTRACT	832040	4806694936	252983944
50	7778742049	SUBTRACT	1346269	7777395780	409336620
51	12586269025	SUBTRACT	2178309	12584090716	662320564
52	20365011074	SUBTRACT	3524578	20361486496	1071657184
53	32951280099	SUBTRACT	5702887	32945577212	1733977748
54	53316291173	SUBTRACT	9227465	53307063708	2805634932
55	86267571272	SUBTRACT	14930352	86252640920	4539612680
56	139583862445	SUBTRACT	24157817	139559704628	7345247612
57	225851433717	SUBTRACT	39088169	225812345548	11884860292
58	365435296162	SUBTRACT	63245986	365372050176	19230107904
59	591286729879	SUBTRACT	102334155	591184395724	31114968196
60	956722026041	SUBTRACT	165580141	956556445900	50345076100
61	1548008755920	SUBTRACT	267914296	1547740841624	81460044296
62	2504730781961	SUBTRACT	433494437	2504297287524	131805120396
63	4052739537881	SUBTRACT	701408733	4052038129148	213265164692
64	6557470319842	SUBTRACT	1134903170	6556335416672	345070285088
65	10610209857723	SUBTRACT	1836311903	10608373545820	558335449780
66	17167680177565	SUBTRACT	2971215073	17164708962492	903405734868
67	27777890035288	SUBTRACT	4807526976	27773082508312	1461741184648
68	44945570212853	SUBTRACT	7778742049	44937791470804	2365146919516
69	72723460248141	SUBTRACT	12586269025	72710873979116	3826888104164
70	117669030460994	SUBTRACT	20365011074	117648665449920	6192035023680
71	190392490709135	SUBTRACT	32951280099	190359539429036	10018923127844
72	308061521170129	SUBTRACT	53316291173	308008204878956	16210958151524
73	498454011879264	SUBTRACT	86267571272	498367744307992	26229881279368
74	806515533049393	SUBTRACT	139583862445	806375949186948	42440839430892

 

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.

   

By Mike J