2012 : Fractal Time and the I Ching

3. Fractal time and the I Ching

• 10,000 years ago humans began domesticating plants and animals.
• 500 years ago we invented the printing press.
• 100 years ago we began driving automobiles.
• 50 years ago we invented the computer.
• 30 years ago we landed on the moon.

The speed of change is rapid. Population, computing power, speed of transport, the sheer amount of known information, and most other things that involve humans, are all increasing at an accelerating rate. The rate at which they are increasing is increasing. We are all part of it, with younger people thinking nothing of it, and the elderly commenting on it, but generally handling it okay. But if we were to transport King Arthur to modern-day New York he’d most probably pass out from trying to grasp what was happening. But can it stop, slow down or reverse. No, for that is not in our nature.

Things will keep changing at a faster rate. Every 18 months the power of computers double. Soon they will be smarter than us, and we are already on the verge of cloning humans and close to using nanotechnology to create atomic size mini-machines. Maybe there will come a time when the rate of change will reach such a speed that change is all that will exist. Various fringe scientists have tried to calculate this point of infinity, giving us calculated dates ranging from 2010 to 2050. Dates that many of us will live to see. Perhaps the date is Dec 22, 2012. Ethnobotanists and fractal time experts Terrence and Dennis McKenna believe so, and they present their ideas in Invisible Landscape: Mind Hallucinogens and the I Ching (1993).

Their studies began with the I Ching, which is composed of 64 hexagrams, or six-line figures. It struck them that 6 x 64 = 384, which is exceptionally close to the number of days in 13 lunar months (29.5306 x 13 = 383.8978), and that maybe the I Ching was originally an ancient Chinese calendar. Further multiples had astronomical significance:

1 day x 64	x 6	= 384 days	= 13 lunar months
384 days	x 64	= 67 years, 104.25 days	= 6 minor sunspot cycles (11.2 years each)
67 years, 104.25 days	x 64	= 4306+ years	= 2 Zodiacal ages
4306+ years	x 6	= 25836 years	= 1 precession of the equinoxes

The McKenna brothers arrived at the 2012 end date by using fractals. Starting from a table of differences between one hexagram and the next, they developed a Mandelbrot fractal in which each level is 64 times greater then the one below it. They then laid this fractal pattern on top of a time scale. The peaks and troughs of the pattern relate to the level of connectedness or novelty in any span of time, whether it covers a day, millennia or even since the beginning of time. By matching the levels of the pattern with key periods in history, they determined it would fit best if the end of the time scale was December 22, 2012. This is the only point in which the level of novelty reaches its maximum, and everything that happens is new. Change feeds upon itself like nano-machines converting every atom in the universe into gold.

The final 80 or so pages of their Invisible Landscape (1993) describe the complicated mathematics and methodology they employed. A base period of roughly 67 years was discovered (all calculations are rough, but not inaccurate)…

2012 minus 67 years = 1945, a year of great change

2012 minus 4,300 years (67x64) = 2300 BC, the beginning of historical time

2012 minus 275,000 years (4300 x 64) = the emergence of Homo sapiens

2012 minus 18 million years (275,000 x 64) = the height of the age of mammals

2012 minus 1.3 billion years = the beginning of life on our planet

About what may happen in 2012 they have this to say:

“Achievement of the zero state can be imagined to arrive in one of two forms. One is the dissolution of the cosmos in an actual cessation and unravelling of the natural laws, a literal apocalypse. The other possibility… the culmination of a human process, a process of toolmaking, which comes to completion in the perfect artefact: the monadic self, exteriorised, condensed, and visible in three dimensions; in alchemical terms, the dream of a union of spirit and matter”[i]

On top of all this they state that they calculated the 2012 end date in the early 1970’s, long before they had heard of the Mayan calendar. And to their credit, the original 1975 edition of The Invisible Landscape makes no mention of the Maya. If this is true, then it would be prudent to consider their result as much more than a coincidence, and to take their ideas seriously.

Also fitting the model of increasing novelty and the 2012 end date is the idea that on a sub-conscious level humans can sense a great change approaching. Unsure of what exactly to expect, but nevertheless feeling uneasy, we are doing the best we can to “get everything done” while we still have time. A last minute desperate attempt to achieve the peak of our potential. And if we are able to somehow sense a disturbance ahead, maybe birds and animals will pick up on it as well. Maybe in December 2012 the non-human species will suddenly hush, as they have demonstrated prior to earthquakes.