“Nature hides her secrets because of her essential loftiness, but not by means of deceit.” ~Albert Einstein
“The good, of course, is always beautiful, and the beautiful never lacks proportion.” ~Plato
Everything in nature and the entire universe follows a pattern from the microcosm to the macrocosm. The golden ratio has been given various names like the golden mean, the divine ratio, the cosmic code, the fingerprint of God, and many more. Here we will simply call it the ‘Golden Ratio’ or ‘Phi.’ Like the “The Fibonacci Sequence” it is the blueprint to our universe and everything contained within it. The mathematical blueprint is 1.618, also known as Phi and 0.618 as lowercase phi. Phi was coined after the Greek sculptor Phidias. Like the fibonacci sequence of 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377 and to infinitum, Phi is the addition of each preceding number to the next. When each number of the fibonacci sequence is divided by lowercase phi (0.618), you will get the next number in the fibonacci sequence. For example, 55 divided by 0.618 equals 89. Also, 89 divided by 0.618 equals 144. If you divide each number of the fibonacci sequence to the next, for example, 144 divided by 233, it equals 1.618 (Phi). Then 233 divided by 377 equals 1.618. After the thirteenth number in the fibonacci sequence the golden ratio is fixed at 1.618. When Phi 1.618 is multiplied by any number in the fibonacci sequence, the result is the next number up in the sequence. When lowercase phi 0.618 is multiplied by any number in the fibonacci sequence it results in the next number down. However, it’s no coincidence!
“Measure what is measurable, and make measurable what it is not so.” ~Galileo
1.618 is what is considered attractive, beautiful or aesthetically pleasing to the human eye. The golden ratio is also a fractal in its own nature. The philosophical question is ‘what is beautiful?’ 1.618 is the key to composing art and the definition of beauty. In the ideal human body and face the golden ratio is also found in the distance between the navel and the foot. Also, the height of the human is equal to 1.618. Other examples are the distance between the wrist and the elbow, the distance between the fingertip and the elbow, the distance between the shoulder and the top of the head to the distance between the navel to the top of the head all equal 1.618. The width of the head x the length of the head, from shoulder to shoulder + the length of the arm = 1.618. There are many more measurements in the human body that equal 1.618. However 1.618 can also be seen as another interpretation of the bible verse.
“Then God said, ‘Let us make man in our image, according to our likeness… and God created man in Gods own image.” ~Genesis 1:26-27
The golden ratio is also seen throughout nature from various plants, flowers, pine cones, the nautilus shell, hurricanes, and to the macrocosm of the galaxy. The images below are a few examples of the golden ratio in nature.
“Like God, the Divine Proportion is always similar to itself.” ~Luca Pacioli
“It is the mark of an educated mind to be able to entertain a thought without accepting it.” ~Aristotle
As we near the winter solstice of December 21, 2012, time seems to be speeding up. However, the fact is that time does not speed up. The human psyche is what speeds up in accordance to the Golden Ratio. Albert Einstein’s theory of relativity does define space as being curved and through inductive reasoning time itself must also follow the kinetic shape of the golden ratio spiral. As we near the fear based propaganda of “the end of the world,” every epoch from the past will resonate with future epochs in time. Thus, showing the compression of events throughout the world in a smaller time table describing the speeding of the human psyche. Consequently, the physics definition of ‘epoch’ is the displacement from zero to zero time of a body (body meaning psyche or universe) undergoing simple harmonic motion and change. As described by the German mathematician Hermann Minkowski in which time and space are not separate from each other in a four dimensional space-time.
“The views of space and time which I wish to lay before you have sprung from the soil of experimental physics, and therein lies their strength. They are radical. Henceforth space by itself, and time by itself, are doomed to fade away into the mere shadows, and only a kind of union of the two will preserve an independent reality.” ~Hermann Minkowski
“The human mind has first to construct forms, independently, before we can find them in things.” ~Albert Einstein
Please watch the following videos below to see how the golden ratio and the fibonacci sequence relates to time and space. Featuring the song Lateralus by Tool.