In the famous Fibonacci sequence, each number in the sequence is the sum of the previous two. It begins with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and continues so on. When you take two successive numbers in this sequence, their ratio is very close to 1.618, which is called the golden ratio. The Fibonacci sequence and the golden ratio are present in many parts of the natural world including the shape of plants, human and animal bodies, weather patterns, and even galaxies. It is said that they govern order in the natural world.
Now, researchers from South Africa claim that the golden ratio can be seen in the topology of space-time, giving the argument that the ratio keeps the entire Universe in order.
Dr. Jan Boeyens at the University of Pretoria and Dr. Francis Thackeray of the University of the Witwatersrand in South Africa have researched the many ways that the golden ratio can be seen ‘related not only to aspects of mathematics but also to physics, chemistry, biology and the topology of space-time.’ The researchers believe that geometric shapes found in the natural world throughout the Universe ultimately succumb to the same mathematical property of 1.618. Continue reading →
“If you graph any number system, eventually patterns appear. In mathematics, numbers and their patterns do not only continue infinitely linear, but in all directions. For example, considering infinite decimal expansion, even the shortest segments have an infinite amount of points.” ~Waking Times
The Fibonacci Sequence
The Fibonacci sequence is possibly the most simple recurrence relation occurring in nature. It is 0,1,1,2,3,5,8,13,21,34,55,89, 144… each number equals the sum of the two numbers before it, and the difference of the two numbers succeeding it. It is an infinite sequence which goes on forever as it develops.
The Golden Ratio/Divine Ratio or Golden Mean
The Golden Ratio can be seen from a Chambered Nautilus to a Spiraling Galaxy
The quotient of any Fibonacci number and it’s predecessor approaches Phi, represented as ϕ (1.618), the Golden ratio. The Golden Ratio is best understood geometrically by the golden rectangle. A rectangle unevenly divided resulting into one square and one rectangle, the square’s sides would have the ratio of 1:1, and the new rectangle would be exactly proportionate to the original rectangle – 1:1.618.
This iteration can continue both ways, infinitely. If you plot a quarter circle inside each of the squares as they reiterate, the golden spiral is formed. The golden spiral is possibly the most simple mathematic pattern that occurs in nature like shells of snails, sea shells, horns, flowers, plants. Numbers are only what we use to organize quantitative information. Continue reading →
Personal and collective evolution move along a spiral. For understanding matters I’ll address it as if it was going up and down even if it is definitely not a linear spiral and up and down have no sense out of a space-time continuum.
Being familiar with the Fibonacci sequence can help this understanding so if you’re not familiar with those numbers you might want to give them a look here.
Lets say that there is a “Special Zero Point” where two spirals meet, one that goes up starting from “Zero” and one that goes down starting from “Zero”. The one that goes “down” is in a separation path, the one that goes “up” is in a Union Path. Other similar “small zero pints” are found at every Jump Node, where in order to move from one ratio (consciousness field) to the other something must happen first.
There’s no right path. There’s only experience, but understanding it’s quantum field might help in understanding the way our experiences happen and evolve, weather in one way or in the other.
Now lets say we start from the Zero Point in between the two spirals. That is a Big Choice point where one can ponder in which direction it wants to move on. That is also a Point Humanity reached in the Big Unified Consciousness as so many choose the “upward path”.
From there on the way consciousness evolves is in a way that is encrypted in the Universal Law, which means one can choose to go “up”, “down” or move in circles, but it is not allowed (in our Universe at least) to break this Golden Rule.
From Zero Point on, once the decision of where to go has been taken, the Uni-Verse moves in order with that choice and provides the Being with the needed experiences. Once the experiences have Been Lived and understood a “jump” happens and the Consciousness moves to the next level.
Now comes the interesting part of it. The way Consciousness moves on is by following the Golden Ratio (or Divine Ratio), one of the reasons the Fibonacci numbers are so important and found everywhere in nature and in the Uni-Verse.
Imagine that someone gives you a mystery novel with an entire page ripped out.
And let’s suppose someone else comes up with a computer program that reconstructs the missing page, by assembling sentences and paragraphs lifted from other places in the book.
Imagine that this computer program does such a beautiful job that most people can’t tell the page was ever missing.
DNA does that.
Barbara McClintock won Nobel Prize posthumously
In the 1940′s, the eminent scientist Barbara McClintock damaged parts of the DNA in corn maize. To her amazement, the plants could reconstruct the damaged section. They did so by copying other parts of the DNA strand, then pasting them into the damaged area.
This discovery was so radical at the time, hardly anyone believed her reports. (40 years later she won the Nobel Prize for this work.)
And we still wonder: How does a tiny cell possibly know how to do…. that???
A French HIV researcher and computer scientist has now found part of the answer. Hint: The instructions in DNA are not only linguistic, they’re beautifully mathematical. There is an Evolutionary Matrix that governs the structure of DNA.
Computers use something called a “checksum” to detect data errors. It turns out DNA uses checksums too. But DNA’s checksum is not only able to detect missing data; sometimes it can even calculate what’s missing. Here’s how it works.
In English, the letter E appears 12.7% of the time. The letter Z appears 0.7% of the time. The other letters fall somewhere in between. So it’s possible to detect data errors in English just by counting letters.
In DNA, some letters also appear a lot more often (like E in English) and some much less often. But… unlike English, how often each letters appears in DNA is controlled by an exact mathematical formula that is hidden within the genetic code table.
When cells replicate, they count the total number of letters in the DNA strand of the daughter cell. If the letter counts don’t match certain exact ratios, the cell knows that an error has been made. So it abandons the operation and kills the new cell.
Failure of this checksum mechanism causes birth defects and cancer.
Jean-Claude Perez discovered an evolutionary mathematical matrix in DNA, based on the Golden Ratio 1.618
Dr. Jean-Claude Perez started counting letters in DNA. He discovered that these ratios are highly mathematical and based on “Phi”, the Golden Ratio 1.618. This is a very special number, sort of like Pi. Perez’ discovery was published in the scientific journal Interdisciplinary Sciences / Computational Life Sciences in September 2010.
Jean-Claude Perez discovered an evolutionary mathematical matrix in DNA, based on the Golden Ratio 1.618
Before I tell you about it, allow me to explain just a little bit about the genetic code.
DNA has four symbols, T, C, A and G. These symbols are grouped into letters made from combinations of 3 symbols, called triplets. There are 4x4x4=64 possible combinations.
