Axiomatic (2 page)

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Authors: Greg Egan

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BOOK: Axiomatic
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I don’t believe a word of this, but I see no reason not to play along; it’s probably the simplest way to deal with her, short of blowing her brains out. I put away the gun and take a map from my pocket.

‘Show me.’

She points out a building about two kilometres north-east of where we are. ‘Fifth floor. Apartment 522.’

‘How do you know?’

‘A friend of mine lives in the building. He noticed the effects just before midnight, and he got in touch with me.’ She laughs nervously. ‘Actually,
I
don’t know the guy all that well . . . but I think the version who phoned me had something going on with another me.’

‘Why didn’t you just leave when you heard the news? Clear out to a safe distance?’

She shakes her head vehemently. ‘Leaving is the worst thing to do; I’d end up even more out of touch. The outside world doesn’t matter. Do you think I care if the government changes, or the pop stars have different names? This is my home. If Leightown shifts, I’m better off shifting with it. Or with part of it.’

‘So how did you find me?’

She shrugs. ‘I knew you’d be coming. Everybody knows that much. Of course, I didn’t know what you’d look like — but I know this place pretty well, and I kept my eyes open for strangers. And it seems I got lucky.’

Lucky.
Exactly. Some of my alter egos will be having versions of this conversation, but others won’t be having any conversation at all. One more random delay.

I fold the map. ‘Thanks for the information.’

She nods. ‘Any time.’

As I’m walking away, she calls out,
‘Every time.’

* * * *

I quicken my step for a while; other versions of me should be doing the same, compensating for however much time they’ve wasted. I can’t expect to maintain perfect synch, but dispersion is insidious; if I didn’t at least try to minimise it, I’d end up travelling to the centre by every conceivable route, and arriving over a period of days.

And although I can usually make up lost time, I can never entirely cancel out the effects of variable delays. Spending different amounts of time at different distances from the centre means that all the versions of me aren’t shifted uniformly. There are theoretical models which show that under certain conditions, this could result in gaps; I could be squeezed into certain portions of the flow, and removed from others — a bit like halving all the numbers between 1 and 1, leaving a hole from 0.5 to 1 . . . squashing one infinity into another which is cardinally identical, but half the geometric size. No versions of me would have been destroyed, and I wouldn’t even exist twice in the same world, but nevertheless, a gap would have been created.

As for heading straight for the building where my ‘informant’ claims the mutant is dreaming, I’m not tempted at all. Whether or not the information is genuine, I doubt very much that I’ve received the tip-off in any but an insignificant portion — technically, a set of measure zero — of the worlds caught up in the whirlpool. Any action taken only in such a sparse set of worlds would be totally ineffectual, in terms of disrupting the flow.

If I’m right, then of course it makes no difference
what
I do; if all the versions of me who received the tip-off simply marched out of the whirlpool, it would have no impact on the mission. A set of measure zero wouldn’t be missed. But my actions, as an individual, are
always
irrelevant in that sense; if I,
and I
alone,
deserted, the loss would be infinitesimal. The catch is, I could never know that I was acting alone.

And the truth is, versions of me probably have deserted; however stable my personality, it’s hard to believe that there are
no
valid quantum permutations entailing such an action. Whatever the physically possible choices are, my alter egos have made — and will continue to make — every single one of them. My stability lies in the distribution, and the relative density, of all these branches — in the shape of a static, pre-ordained structure. Free will is a rationalisation; I can’t help making all the right decisions. And all the wrong ones.

But I ‘prefer’ (granting meaning to the word) not to think this way too often. The only sane approach is to think of myself as one free agent of many, and to ‘strive’ for coherence; to ignore short cuts, to stick to procedure, to ‘do everything I can’ to concentrate my presence.

As for worrying about those alter egos who desert, or fail, or die, there’s a simple solution: I disown them. It’s up to me to define my identity any way I like. I may be forced to accept my multiplicity, but the borders are mine to draw. ‘I’ am those who survive, and succeed. The rest are someone else.

I reach a suitable vantage point and take a third count. The view is starting to look like a half-hour video recording edited down to five minutes — except that the whole scene doesn’t change at once; apart from some highly correlated couples, different people vanish and appear independently, suffering their own individual jump cuts. They’re still all shifting universes more or less together, but what that means, in terms of where they happen to be physically located at any instant, is so complex that it might as well be random. A few people don’t vanish at all; one man loiters consistently on the same street corner —

although his haircut changes, radically, at least five times.

When the measurement is over, the computer inside the binoculars flashes up coordinates for the centre’s estimated position. It’s about sixty metres from the building the blue-haired woman pointed out; well within the margin of error. So perhaps she was telling the truth — but that changes nothing. I must still ignore her.

As I start towards my target, I wonder: Maybe I
was
ambushed back in that alley, after all. Maybe I was given the mutant’s location as a deliberate attempt to distract me, to divide me. Maybe the woman tossed a coin to split the universe: heads for a tip-off, tails for none — or threw dice, and chose from a wider list of strategies.

It’s only a theory . . . but it’s a comforting idea: if that’s the best the whirlpool cult can do to protect the object of their devotion, then I have nothing to fear from them at all.

* * * *

I avoid the major roads, but even on the side streets it’s soon clear that the word is out. People run past me, some hysterical, some grim; some empty-handed, some toting possessions; one man dashes from door to door, hurling bricks through windows, waking the occupants, shouting the news. Not everyone’s heading in the same direction; most are simply fleeing the ghetto, trying to escape the whirlpool, but others are no doubt frantically searching for their friends, their families, their lovers, in the hope of reaching them before they turn into strangers. I wish them well.

Except in the central disaster zone, a few hard-core dreamers will stay put. Shifting doesn’t matter to them; they can reach their dream lives from anywhere — or so they think. Some may be in for a shock; the whirlpool can pass through worlds where there is no supply of S — where the mutant user has an alter ego who has never even heard of the drug.

As I turn into a long, straight avenue, the naked-eye view begins to take on the jump-cut appearance that the binoculars produced, just fifteen minutes ago. People flicker, shift, vanish. Nobody stays in sight for long; few travel more than ten or twenty metres before disappearing. Many are flinching and stumbling as they run, balking at empty space as often as at real obstacles, all confidence in the permanence of the world around them, rightly, shattered. Some run blindly with their heads down and their arms outstretched. Most people are smart enough to travel on foot, but plenty of smashed and abandoned cars strobe in and out of existence on the roadway. I witness one car in motion, but only fleetingly.

I don’t see myself any where about; I never have yet. Random scatter
should
put me in the same world twice, in some worlds — but only in a set of measure zero. Throw two idealised darts at a dartboard, and the probability of twice hitting the same point — the same zero-dimensional
point —
is zero. Repeat the experiment in an uncountably infinite number of worlds, and it will happen — but only in a set of measure zero.

The changes are most frantic in the distance, and the blur of activity retreats to some extent as I move —

due as it is, in part, to mere separation — but I’m also heading into steeper gradients, so I am, slowly, gaining on the havoc. I keep to a measured pace, looking out for both sudden human obstacles and shifts in the terrain.

The pedestrians thin out. The street itself still endures, but the buildings around me are beginning to be transformed into bizarre chimeras, with mismatched segments from variant designs, and then from utterly different structures, appearing side by side. It’s like Walking through some holographic architectural identikit machine on overdrive. Before long, most of these composites are collapsing, unbalanced by fatal disagreements on where loads should be borne. Falling rubble makes the footpath dangerous, so I weave my way between the car bodies in the middle of the road. There’s virtually no moving traffic now, but it’s slow work just navigating between all this ‘stationary’ scrap metal. Obstructions come and go; it’s usually quicker to wait for them to vanish than to backtrack and look for another way through. Sometimes I’m hemmed in on all sides, but never for long.

Finally, most of the buildings around me seem to have toppled, in most worlds, and I find a path near the edge of the road that’s relatively passable. Nearby, it looks like an earthquake has levelled the ghetto. Looking back, away from the whirlpool, there’s nothing but a grey fog of generic buildings; out there, structures are still moving as one — or near enough to remain standing — but I’m shifting so much faster than they are that the skyline has smeared into an amorphous multiple exposure of a billion different possibilities.

A human figure, sliced open obliquely from skull to groin, materialises in front of me, topples, then vanishes. My guts squirm, but I press on. I know that the very same thing must be happening to versions of me — but I declare it, I
define
it, to be the death of strangers. The gradient is so high now that different parts of the body can be dragged into different worlds, where the complementary pieces of anatomy have no good statistical reason to be correctly aligned. The rate at which this fatal dissociation occurs, though, is inexplicably lower than calculations predict; the human body somehow defends its integrity, and shifts as a whole far more often than it should. The physical basis for this anomaly has yet to be pinned down — but then, the physical basis for the human brain creating the delusion of a unique history, a sense of time, and a sense of identity, from the multifurcating branches and fans of superspace, has also proved to be elusive.

The sky grows light, a weird blue-grey that no single overcast sky ever possessed. The streets themselves are in a state of flux now; every second or third step is a revelation — bitumen, broken masonry, concrete, sand, all at slightly different levels — and briefly, a patch of withered grass. An inertial navigation implant in my skull guides me through the chaos. Clouds of dust and smoke come and go, and then—

A cluster of apartment blocks, with surface features flickering, but showing no signs of disintegrating. The rates of shift here are higher than ever, but there’s a counterbalancing effect: the worlds between which the flow runs are required to be more and more alike, the closer you get to the dreamer.

The group of buildings is roughly symmetrical, and it’s perfectly clear which one lies at the centre. None of me would fail to make the same judgement, so I won’t need to go through absurd mental contortions to avoid acting on the tip-off.

The front entrance to the building oscillates, mainly between three alternatives. I choose the leftmost door; a matter of procedure, a standard which The Company managed to propagate between itselves before I was even recruited. (No doubt contradictory instructions circulated for a while, but one scheme must have dominated, eventually, because I’ve never been briefed any differently.) I often wish I could leave (and/or follow) a trail of some kind, but any mark I made would be useless, swept downstream faster than those it was meant to guide. I have no choice but to trust in procedure to minimise my dispersion.

From the foyer, I can see four stairwells — all with stairs converted into piles of flickering rubble. I step into the leftmost, and glance up; the early-morning light floods in through a variety of possible windows. The spacing between the great concrete slabs of the floors is holding constant; the energy difference between such large structures in different positions lends them more stability than all the possible, specific shapes of flights of stairs. Cracks must be developing, though, and given time, there’s no doubt that even this building would succumb to its discrepancies — killing the dreamer, in world after world, and putting an end to the flow. But who knows how far the whirlpool might have spread by then?

The explosive devices I carry are small, but more than adequate. I set one down in the stairwell, speak the arming sequence, and run. I glance back across the foyer as I retreat, but at a distance, the details amongst the rubble are nothing but a blur. The bomb I’ve planted has been swept into another world, but it’s a matter of faith — and experience — that there’s an infinite line of others to take its place.

I collide with a wall where there used to be a door, step back, try again, pass through. Sprinting across the road, an abandoned car materialises in front of me; I skirt around it, drop behind it, cover my head.

Eighteen. Nineteen. Twenty. Twenty-one. Twenty-two?

Not a sound. I look up. The car has vanished. The building still stands — and still flickers.

I climb to my feet, dazed. Some bombs may have — must have — failed . . . but enough should have exploded to disrupt the flow.

So what’s happened?
Perhaps the dreamer has survived in some small, but contiguous, part of the flow, and it’s closed off into a loop — which it’s my bad luck to be a part of.
Survived how?
The worlds in which the bomb exploded should have been spread randomly, uniformly, everywhere dense enough to do the job . . . but perhaps some freak clustering effect has given rise to a gap.

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