The Wild. David Zindell
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billions of such snowflakes, he marvelled at the infinite self-embedding of complexity. He might easily have lost himself in these infinities altogether if his will to escape hadn’t been so strong. Although it might prove hopeless, he tried to model the chaos and thus make a map through this impossible part of the manifold.
For his first model, he tried a simple generation of the Mandelbrot set, the iteration in the complex plane of the mapping z into z2 + c, where c is a complex number. When this proved futile, he generated other sets, Lavi sets and Julia sets and even Soli sets of quaternion-fields on a mutated thickspace. All to no avail. After a while, as his ship spun endlessly and fell through an almost impenetrable iron grey, he abandoned such mathematics and fell back upon the metaphors and words for chaos that he had learned as a child. He was certain that he would soon die, and so why not take a moment’s comfort where he could? He emptied his mind, then, of ideoplasts and other mathematical symbols. He remembered a word for coldness, eesha-kaleth, the coldness before snow. Now that he had finished sweating, as he waited for the chaos storm to intensify and kill him, his whole body felt cold and strange. In the pit of his ship, he lay naked, shivering, and he remembered the moratetha, the death clouds of his childhood that would steal across the sea and swallow up entire islands in an ice-fog of whiteness where there was no up or down, inside or out, yesterday or tomorrow. The chaos surrounding him was something like such a morateth. But even more, in its fierce turbulence, in its whorls, eddies, and vortices of fractured spaces breaking at his ship, it was like a sarsara, the Serpent’s Breath: the death wind that had killed so many of his people. It would be an easy thing, he knew, to let the chaos storm overcome him, even as the overpressures of a sarsara might fall upon a solitary hunter and drive him down into the ice. Then he could finally join his tribe in death. But the oldest teaching of his people was that a man should die at the right time, and something inside him whispered that he mustn’t die, not yet. As he lay in the icy darkness of his ship, as he touched the lightning bolt scar on his forehead, all the while shivering and remembering, something was calling him to life. It was a long, dark, terrible sound, perhaps the very sound and fury of chaos itself. And then, in the centre of the chaos, there was a blackness as bright as the pupil of his eye. There were secret colours, bands of brilliant orange encircling the blackness, and then white, a pure snowy whiteness. All the colours of chaos were inside him, and out, and so again he faced his ship’s computer and turned his inner eye toward the manifold.
Before him, beneath the stars of the Solid State Entity, within the dark, twisting tunnels of a phase space, there was an attractor. It was a strange attractor, he decided: stable, non-periodic, low-dimensional. Its loops and spirals would weave infinitely deep, infinitely many fractal pathways inside a finite space. No path would ever cross or touch any other. Strange attractors, it was hypothesized, were the black holes of the manifold. Nothing that approached one too closely could escape its infinities. For a pilot to enter a strange attractor would mean spiralling down endless pathways into blackness and neverness. Any sane pilot would have fled such an attractor. Danlo considered such a course, but where would he flee to and into what dread space might he flee? Strangely, he felt the attractor pulling him, almost calling him, in the way that the future called all life into its glorious destiny. He couldn’t deny this call. And so there came a moment when he faced the attractor and piloted his ship into the last place in the universe he would ever have thought to go. With this wordless affirmation made in the dark of his ship, a wildness came over him. His body began to warm as if he had somehow drunk the light of the sun. He felt his heart beating strong and fast. His blood surged quickly inside him, thousands upon thousands of unseen turbulent streams, flowing, bifurcating, surging, but always returning to the chambers of his heart. If chaos was anywhere, he thought, it was inside himself. And order was there, too. Chaos/order; order/chaos – for the first time in his life, he began to see the deep connection between these seemingly opposite forces. Chaos, he thought, was not the enemy of order, but rather the cataclysm that gave it birth. A supernova was a most violent, chaotic event, but out of this explosion into light were born carbon, hydrogen, and oxygen, and all the other elements of life. There was always a place where order might emerge from chaos. Danlo looked for this place within himself; and then he looked within the attractor which coiled before him like an infinite snake swallowing its tail and drew him ever onward. Suddenly he knew a thing. To find the hidden order inside, he must first become himself pure chaos. This was his genius, his joy, his fate. This was his magical thinking approach to mathematics, nurtured by the shamans of his tribe, crystallized and polished in the cold halls of the Academy on Neverness. He must will himself to see where pattern is born of formlessness, that pattern that connects. All his life he had been trained to see such patterns. There was always a choice, to see or not see. Now, inside the attractor that pulled him into its writhing coils, there were patterns. There were ripples and billowings and depthless fractal boundaries like the wall clouds around the eye of a hurricane. The attractor itself swirled with the colours of orange madder and a pale, icy blue. For the first time, he marvelled at the attractor’s strange and terrible beauty. There was something haunting in the self-referential aspect of the chaos functions, the way that the functions lay embedded inside one another, watching and waiting and making patterns down to infinity. There were always an infinite number of patterns to choose from, always the infinite possibilities. There was always a possible future; it was only a matter of finding the right pattern, of sorting, inverting, mapping, and making the correspondences, and then comparing the patterns to a million other patterns that he had seen. Now, as the patterns before him fractured into lovely crimson traceries and then coalesced a moment later into a clear blue-black pool that pulled him ever inward, he must choose one pattern and only one. In less than a second of time, in a fraction of a fraction of a moment that would always be the eternal Now, he would have to make his choice. There could be no putting it off once it came. His choice: he could be pulled screaming into his fate, or he could say yes to the chaos inside himself and choose his future. This, he remembered, is what the scryers do. This is what his mother must have done in finding the terrible courage to give birth to him. And so at last, when his moment came and time was now and always and forever, he chose a simple pattern. He made a mapping into this strange, strange attractor, and then he fell alone into the eye of chaos where all was stillness, silence, and beautiful, blessed light.
The ability to remember the past gives one the power to descry events that have yet to be. This is the great problem of consciousness, for man and god, this awareness in time: the more clearly we visualize the future, the more we live in dread that it will inevitably become the present.
– from A Requiem For Homo Sapiens, by Horthy Hosthoh
Danlo fell out near a small yellow star as beautiful as any star he had ever seen. The star was circled by nine fat round planets, one of which was very near to him indeed. Below his lightship – a bare ten thousand miles below the Snowy Owl – there spun a planet all green and blue and swaddled in layers of bright white clouds. He could scarcely believe his good fortune. It seemed too much of a miracle to have escaped an inescapable attractor, only to then fall out above such a lovely and earthlike planet. In the pit of his ship he lay shaking with triumph and joy, and he opened a window in the ship’s hull to look out over this unnamed planet. For a long time he looked down through space at mossy brown continents and sparkling blue oceans. With his scanning computers, he analysed the gases of the atmosphere, the oxygen and nitrogen and carbon dioxide involved in the interflow of organic life. He did this to reassure himself that he had really fallen out into realspace, and so he reached out with his telescopes and scanners and eyes to embrace it, to touch it, to see it as it truly was. In the sweep of the planet’s mountains, in the fractal curves of the continents’ coastlines and the shape of the vast oceans, he became aware of a pattern hauntingly familiar to him. At first he could not identify this pattern. But then he searched his memory, and there was a shock of recognition, like suddenly beholding the face of a friend who has returned from the wounds and scars of old age into an untouched and marvellous youth. It astonished him that the face of the planet below him matched his