Skip to navigation | Skip to content


The End of the River

A critical view of Linear Apocalyptic Thought, and how Linearity makes a sneak appearance in Timewave Theory’s fractal view of Time…

First published in Towards 2012 Parts 4/5: Paganism/Apocalypse (The Unlimited Dream Company, 1998). The project was initially inspired by Terence McKenna’s Timewave theory, and the 2012 concept was used as a broad umbrella under which I could place all the transformative ideas and perspectives I was interested in—shamanism, paganism, psychedelics, magick, new technologies, the revival of archaic paradigms and their affinity with the cutting edges of contemporary culture. This is slightly adapted to make sense outside the context of its original place of publication. There are also amendments based on correspondence with Peter Meyer, who coded the Timewave Zero software, and on whose website this article was formerly hosted.

So many people have asked me in consternation: "Why aren’t you doing the last part of Towards 2012?" Well, I’ve decided to include ‘Apocalypse’ as a section at the back of this issue for a few reasons. When I initiated and planned out this project in 1995, I had no idea that it’d become a tome of these proportions. Those of you with a copy of the first issue will be able to see that I optimistically set the release date for the last one at April 1997! At the rate it’s been going, that’s over 2 years off course. It’s been a great project to do, but frankly I don’t want to be still doing it this time next year. Other Things beckon…

That’s a mundane reason. Beyond that, my ideas and feelings about the whole ’2012 scenario’ have radically changed in the past three years. I’m still influenced by most of the people I absorbed my postmodern eschatology from—Terence McKenna, William S. Burroughs, Robert Anton Wilson, Arthur Koestler, Norman O. Brown, Philip K. Dick, Wilhelm Reich—but I simply wouldn’t feel honest and passionate now about doing a whole issue devoted to apocalyptic ideas. As it is, I’m very happy that’s it’s ending with ‘Paganism’, as this is where the larger part of my heart has been all along.

Naturally, the most common question I’ve been asked has been: "So what’s all this ’2012′ business about then?" Sometimes I’ve actually been stumped! To be honest, it’s actually been quite a while since I was really interested in why this could be such a ‘special’ date, and I’ve had to trawl my memory and summon up enthusiasm to explain it on occasions. Cue expressions of mystification at why someone who spends all their time doing a mag called Towards 2012 goes "Er…" when asked what the title means!

When I sat down to write this piece, I was all set to just reel off my reasons for not being really taken by the ’2012 scenario’ anymore. Ironically, within days I was more fascinated by McKenna’s theories than I had been in years! So for those of you still baffled by the title, here goes…

Amazonian time & the I Ching

In 1971, Terence McKenna, then a former student radical and wanted hash smuggler, made his way into the depths of the Amazon jungle with a small group of friends, including his brother Dennis. They had intended to search for a rare plant psychedelic containing dimethyltryptamine (DMT), but ended up mostly feasting on Stropharia cubensis, a type of psilocybin mushroom. A bizarre psychoactive experiment was formulated between the brothers, wherein they attempted to bond harmine DNA (harmine is another psychedelic compound they used synergetically with the mushrooms) with their own neural DNA, through the use of vocal techniques(!). This, they reasoned, would give them access to the collective memory bank of the species, as well as manifesting the fabled alchemists’ Philosopher’s Stone—which they visualized as a UFO-like hyperdimensional union of spirit and matter. If you want to see what did happen, read McKenna’s excellent True Hallucinations. For now, it’s enough to know that McKenna’s experiences led him to spend night after night gazing at the stars pondering the nature of time (it comes to us all), and this in turn led him to study the ancient Chinese divinatory system, the I Ching, for a few clues about time from the Orient.

A hexagram

His basic conclusion was that the sequence of hexagrams in the I Ching are ordered in a highly structured, artificial way—one that codified the nature of time’s flow in the world. A hexagram is a combination of six lines, each being either yin or yang (example to the right). There are 64 hexagrams in total, in a set sequence. McKenna mapped out the inner structure of the sequence by calculating how many lines changed from yin to yang, or vice versa, from hexagram to hexagram. He then filtered this data through a complex series of tables and graphs, and finished up with a wave-form that he called ‘Timewave Zero’ (figure 1, below). This is all laid out in detail in The Invisible Landscape.

A section of a Timewave graph

Figure 1. A section of the Timewave. The boxed portion to the right encloses a sub-section that figures 3-7 are fractal correlates of.

I have to admit that the precise reasoning behind this process eludes me; even more beyond my comprehension is the mathematical formulation of the theory, put together by Peter Meyer for the software. I think you have to be pretty well-versed in maths to understand—and hence criticize—the underpinnings of the Timewave. I asked Terence about the slightly elitist nature of this situation, and he simply replied: "Go back again and study it carefully, it’s quite straightforward." Either he was being a bit obnoxious, or declining educational standards have affected me more than I thought!

There are actually several variations of the Timewave. The Timewave Zero software is based upon the numerical series originally generated by McKenna from the I Ching, as documented in The Invisible Landscape. When analysing the construction of the original timewave from the I Ching numbers in 1994 Peter Meyer found a step, named by him "the mysterious half-twist", which McKenna had not mentioned (and of which, when asked, he said he knew nothing). The deletion of this step produces a slightly different timewave (named after the mathematician Matthew Watkins, who also made a study of the timewave which was severely critical of its foundations).

Proceeding from a quite different perspective, John Sheliak developed an alternative series of numbers, which gave rise to what McKenna called "Timewave One". McKenna described this as a "correction" of the original Timewave; however, Peter Meyer regards the Sheliak construction as unfounded and erroneous. Presumably, in a speculative arena such as this, with no orthodox laws to govern the ‘correct’ way of doing things, we should see alternate versions of the wave as just that, alternatives. There is yet another alternative set of I Ching numbers that generates what is known as the "Huang Ti" wave. All work here is based on the Timewave Zero software (called "Fractal Time" in its final 1999 version), but I don’t think the discrepancies between this and other versions will affect my general criticisms.

The Timewave graph is supposed to depict the ebb and flow of ‘novelty’ and ‘habit’ in the universe. When the timeline climbs up, habit (routine, convention, ruts to get stuck in) increases. When the line dips down, novelty (creativity, connectedness, weird shit) increases. An in-built feature of the wave is that at a certain point it hits the bottom of the graph—it goes off the scale. Novelty is maximized, as far as the variables of this system (the universe) go.

With this graph in his hands, McKenna tried mapping it onto the historical record, looking at key points where things seemed to have really taken off, and matching them to the big dips in the line. Specifically, he opted for the bombing of Hiroshima as an unarguably ‘novel’ event. The structure of his Timewave dictated that extremely novel events unfolded in cycles of 6 x 64 x 64 = 24,576 days (67.29 years). Adding this sum to the date of Hiroshima gave him an end-date in November 2012 CE. It was well after settling on this date that he found out someone else had come to a very similar conclusion. The calendar of the time-obsessed Mayan culture appears to come to the end of a 5,125-year cycle on 21st December (the winter solstice) of the same year, and McKenna adjusted the end-date to conform with this venerable tradition.

The Novelty of End-Times

What will actually happen on 21/12/2012? Many possibilities have been suggested: time travel, ‘universal enlightenment’, alien landings, the Second Coming… If McKenna’s theory is correct, we won’t be able to even conceive of the event until it arrives. An easy way to understand this is to make a graph with an exponential curve on it—here’s one I made earlier (below).

An example of a graphed exponential curve

Figure 2. A simple graph showing how in the Timewave, novelty (or the acceleration of evolution) proceeds at an exponentially increasing rate.

I’ve made the vertical axis increase in value as it goes down to correspond to the Timewave. Novelty in the Timewave graph ebbs and flows, with peaks and troughs, but overall it increases. This increase is shown in the simplified curve in fig. 2. The increase does not proceed at a steady rate—it increases faster and faster and faster and faster… until it eventually ‘goes vertical’, corresponding to the Timewave line going off the scale.

Now, imagine that the line on this simplified graph is a tube, and you’re inside it, hurtling along like some crazy species trying to escape from the dead weight of the past… How far can you see ahead? There’s always a certain view down the tube before it bends round out of sight. But as you approach the vertical part—where novelty keeps on increasing despite the flow of time having ‘ended’—you never really see around the corner until you’re on top of it.

But to truly understand the Timewave, you have to grasp its fractal nature. Look at figure 1. At the far right of the wave, there are two tiny peaks, huddling against a slightly larger one. If this bit is magnified and stretched out a bit, you get something like this:

The last 6 billion years as seen through the Timewave

Figure 3: The last 6 billion years as seen through the Timewave. Key events depicted here are the formation of Earth and the rise of life. The box to the right is shown with an arrow to indicate that the next graph, figure 4, is a magnification of this portion. Dates are shown in years before present.

The section of the wave in fig. 1 can be seen again (though not in much detail) as the near-level part on the far right. So you can blow up that very last bit again and get the same shape, describing a much shorter span of time. These descending nests of fractal hierarchies carry on ad infinitum (or rather, ad 2012). This is the part that really got me into it again. The Timewave gives a shape to history and, whether it’s the ‘true’ shape or not, playing around with it got me much more fascinated and excited by the past than I’ve ever been with a ‘flat line’ image—time as ‘simple duration’—informing my idea of history’s form.

So does the Timewave’s description of "the ingression of novelty into the universe" tally with what we know about the appearance of novel events in the past? Look for yourself.

The last 94 million years: the emergence of humans

Figure 4: The last 94 million years: the emergence of humans. Dates are shown in years before present.

The last 1.5 million years: the development of human culture

Figure 5: The last 1.5 million years: the development of human culture. Dates are shown in years before present.

The last 23 thousand years: agriculture, metallurgy, writing, civilisation and the genesis of world religions

Figure 6: The last 23 thousand years: agriculture, metallurgy, writing, civilisation and the genesis of world religions.

The last 360 years: the Industrial Revolution, telecommunications, atomic energy and space travel

Figure 7: The last 360 years: the Industrial Revolution, telecommunications, atomic energy and space travel.

These snippets of ‘key events’ in history are naturally a bit selective; and because the unfolding of evolution on Earth has proceeded at an ever-accelerating rate, it is natural that in each snapshot of the wave, many significant events are bunched up on that last little plateau. But some very interesting correspondences emerge.

According to Timewave theory, each section of the wave resonates with every other section that has an identical structure. So the development of the first tools among pre-hominid apes, and the emergence of our ancestor Homo habilis (figure 4) resonate with the first recorded deliberate deposition in a human burial, and the ‘Human Revolution’—which saw Homo sapiens spreading across the globe and developing art (figure 5). Likewise, the first appearance of Homo sapiens and the first recorded human-built structure (fig. 5) archaic ploughing sceneresonate with the rise of dynastic Egypt and the flowering of European megalithic culture (figure 6). Perhaps most significantly, the first glimmerings of human intervention in nature for food production, i.e. the start of the Agricultural Revolution (fig. 6), occupies the same ‘novelty trough’ as the Industrial Revolution in figure 7.

Criticism time!

These are just a few examples of the Timewave’s ‘successes’, and there are many more—just pore over the graphs for a while, and maybe grab a few of those dusty history books off your shelves. But does it trip up at all? McKenna’s said that if it fails once, it fails utterly; so let’s check it out.

In his own work he’s highlighted the trough starting at 14,000 BCE (fig. 6) as showing the ‘Magdelanian Revolution’, the explosion of cave art in the late Palaeolithic. Yet some paintings at Lascaux date back to 17,000 BCE, and this date, along with the invention of Mesolithic tools, appears near the peak of a steep climb into habit. Perhaps these acted as catalysts for the impending plunge into novelty?

Well, this brings up what I feel to be a major glitch in Timewave theory, which I came across while searching for historical correspondences. Look at the last large peak of habit in fig. 6. On the tape that comes with the Timewave software, McKenna says that Homer’s epic poetry appeared here as a trigger for the steep descent into novelty—classical Greek civilization, a prime catalyst for the modern world. A similar type of event may be seen in fig. 7, where the invention of the telephone in 1876 seems to plunge us into an increase of novelty, which only abates twice before the full bloom of global telecommunications in the late 20th century.

Isn’t this having it both ways? When a novel event appears at the bottom of a trough—like cattle domestication in 6000 BCE—that’s fine, novelty’s high at that point. But when one appears on a ‘habit peak’—Bell and the phone, Homer and his epics, or the appearance of Mesolithic tools—that’s fine too. It’s a ‘trigger’ for the next descent into weirdness. You can’t lose!

By the way, it’s important to note that ‘novelty’ doesn’t necessarily imply ‘good’. The first atomic bomb being detonated in 1945 was pretty novel, but not so great. So novelty maximization in 2012 could end up being something like the sun exploding!

Given that the wave is derived from the proto-Taoist I Ching, I also find it strange that the Timewave has a definite end built into it. To my understanding, Taoism, before it developed into a full-blown formal religion, was profoundly anti-eschatological—not at all bothered about ‘final destiny’ or ‘a singularity at the end of time’. It’s deeply concerned with change, yes; but the ‘maximization of novelty’ points to something more than just ‘the next step’. It hints at something ‘final’ and ‘complete’—notions that don’t seem to fit well into the Taoist sense of flow.

McKenna’s pretty consistent these days in his cheerleading for the Eschaton, but such was not the case when he was laying the foundation for his philosophy. In The Invisible Landscape, he and his brother write:

As moderns and necessarily skeptics, we have assumed that although the hypothesis points toward an eventual involution of the temporal manifold, a concrescence, there is little likelihood of such an event occurring in the immediate present.

Some pages later we find them saying: "The nearness of a major concresence to our own time is a self-evident fact…"!

We also find a potentially refreshing self-critical line being taken:

The question of the moment of this true rupture of plane is difficult; it seems most millenarian speculations decode as giving critical importance to the age in which they were composed.

But nothing is ever made of this. Obviously, for this point is probably the best objection to apocalyptic thinking there is. The End is always just around the corner, from where you’re standing—making it a pretty subjective affair, not ‘universal’ at all.

As it stands, the Timewave’s predictions for the run-up to 2012 are staggering. Comparing our own age in fig. 7 to the other graphs, we can see that the start of the 90s resonates with the emergence of life onto land 400 million years ago, and the hominids’ debut 4 million years ago. And we’ve just entered a 5 year period that resonates directly with the Human Revolution (fig. 5), when sea-faring and art first crystallized. Furthermore, McKenna states that, due to the acceleration of novelty’s ingression, about half of the total evolution of our 72-plus-billion-year old universe will occur in the last 0.3 seconds before 6.00am on 21/12/2012! If we take the formation of the cosmos, the rise of life, or the discovery of language as examples of key ‘barriers’ that universal evolution passes through, McKenna’s calculations tell us that thirteen such barriers will be passed in the last 0.0075 seconds!!

This theory is staggering, unimaginable, and inspiring in a way that’s intense but very hard to grasp (until you smoke DMT I suppose). It’s also amazingly ‘West-centred’ (never mind human-centred). Post-industrial cultures appear to be going through an ever-intensifying series of changes that could point to a major transformation in the next 15 or so years. But what about ‘undeveloped’ cultures, and those whose religious/calendrical systems have nothing special on the cards for the near future? Were the hidden forces that dish out the inspiration for sacred calendars having a laugh when they gave these people ‘wrong’ time-scales? "Look at those dorks, they don’t know what’s gonna hit them!" And what about the (admittedly very few) indigenous tribes still relatively untouched by the ‘progress’ of the last 10,000 years?

McKenna’s answer to this at his presentation of the Timewave at the ICA, London, in 1996 was that "history isn’t politically correct"—i.e. it’s untouched by our liberal concern for humans who haven’t been caught up in its vortex. Well, neo-Nazis aren’t PC either. What makes History—as in the evolution of technology since the Agricultural Revolution—worth going along with unto its final conclusion?

History is an angel
Being blown backwards
Into the future
History is a pile of debris
And the angel wants to go back
And fix things
To repair things that have been broken
But there’s a storm blowing from paradise
And the storm keeps blowing the angel backwards
Into the future
And this storm
This storm is called Progress

Laurie Anderson, ‘The Dream Before’

Time & Tantra

You may have noticed that all the people I listed at the start as inspirations for my eschatological leanings were men. Is eschatology a gender issue? It’s not really discussed, is it? I’d be interested to find out about any exceptions, but as far as I can see, all the cultures and religions that are big on apocalyptics are pretty patriarchal.

The idea of a point at the end of history, or the universe—McKenna’s "concrescence of novelty"—is the flip-side of everything exploding out from a singularity at the beginning. The Omega Point and the Big Bang are like bookends of unification at either end of the flow of time. They can also be seen as Vast Ejaculations (now there’s an album title). Douglas Rushkoff first pointed out to me the masculine sexuality underlying apocalyptic ideas. And as I created that ‘simplified curve’ graph in fig. 2, I noticed the sexual innuendo in the idea of human knowledge ‘going vertical’ (fnarr, fnarr). The Big Bang isn’t really that far from Egyptian creation myths where gods bring things forth by beating off. And the Timewave is breakneck rush towards a crescendo of connectedness and barrier-dissolution—a Cosmic Climax.

This all sounds great, but I also wonder: where’s the female orgasm? What about continuous waves of full-body, non-linear ecstasy, with no focal point and no singular ‘explosion’? Not that all women experience this, or that it’s exclusive to women. (Then again, ejaculation isn’t strictly exclusive to men, but let’s not complicate our metaphors more than necessary!) Such experiences of wave-orgasm are the focus of most sexual mysticism, for both sexes. There’s no Point to this ecstasy, but it ain’t ‘pointless’! Does it have no place in eschatology? Would the concepts of the Omega Point, the Apocalypse, Judgement Day, Timewave Zero, etc. even exist if this experience was more common than the "sneeze in the genitals", as Alan Watts has called the average male orgasm? Well, there’s only one way to find out!

Are we yearning for a quick and catastrophic explosion to relieve the tension—the tension of information overload, the tension of tightly measured time, the tension of too much undigested history? Dare we step back for a moment amidst this frantic rush towards the Climax, and question the assumptions behind linear masculine eschatology—even as we approach the Deadline? As Mogg Morgan says,

If you feel yourself approaching the point of ‘no return’, maybe ask your partner to pause, and make any adjustments necessary to prevent ejaculation or climax . . . . As the urge for ejaculation or release subsides, you may feel the warm sexual glow spreading throughout your whole pelvic region, opening out other energy centres sometimes called chakras. A strange thing happens: you become like an erotic landscape, a sea of sensation. Try to regard the time you have spent in this ‘build up’ to ejaculation as part of the orgasm. Viewed this way, perhaps you can see that an orgasm, for both men and women, is actually a lot more intense than those few moments of ejaculation or climax.

The Erotic Landscape

The aim of sexual mysticism and magick isn’t always the total inhibition of coming—it’s more to do with intensifying the orgasmic trance through diffusing the ‘explosion’ of coming throughout the body, and relaxing more fully into every nuance of psycho-physical sensation that arises. A key part of it is perhaps one of the great Keys to Magick—avoiding Lust of Result, a.k.a. attachment, goal-oriented consciousness, striving, or ‘pushing the river’. Paradox time again. Orgasmic trance is more intense if you don’t try to intensify it, or even try to reach orgasm at all. This is the heart of Taoist philosophy: wu wei, ‘not pushing’.

McKenna’s well aware of all this, but here I’m trying to address the general way that our goal-oriented culture reacts to impending mega-events. There’s also the issue of whether McKenna’s right in his assumption that the creators of the I Ching believed in some sort of grand concrescence at the end of time. He argues in The Invisible Landscape that the I Ching originated with proto-Taoist shamans in Neolithic China, and functioned as a lunar calendar system as well as a divinatory device. His arguments here are convincing, as is his insistence on the importance of fractal-based models and resonance to the developers of this oracular artefact. Not quite so convincing is the idea that the shamans who gave birth to Taoism would have put a Full Stop or an Exclamation Mark at the end of their universe, and carefully knitted it into the structure of their sacred symbol system. A Comma, maybe—or a Question Mark?

This isn’t to say I think that there definitely is not a stupendous hyperdimensional object hovering 14 years ahead of us, inexorably drawing all matter and consciousness into its pulsating heart of light. When I decided to make this ‘Apocalypse’ bit a mere section at the back of this issue, I jokingly told a friend that I had ‘Cancelled the Apocalypse’. He told McKenna this when he met him, and the reply was, "That’s a bit presumptuous!" And that it is. Well, I haven’t really cancelled it. I’ve merely tried to stop pushing the river.

Let it flow

End and goal.— Not every end is a goal. The end of a melody is not its goal; but nonetheless, if the melody had not reached its end it would not have reached its goal either. A parable.

Friedrich Nietzsche, The Wanderer and his Shadow

Books used


Note from Peter Meyer: The Timewave Zero software is no longer available, but you can read Dr Matthew Watkins’ essay Autopsy for a Mathematical Hallucination?.