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Section Three of the Official Secrets Act (1916) is our principle weapon in the endless war against security leaks. It was passed during a wartime spy scare-a time of deep and extreme paranoia-and it's even more bizarre than most people think. As far as the public knows, the Official Secrets Act only has two sections; that's because Section Three is itself classified Secret under the terms of the preceding sections, and merely knowing about Section Three's existence-without having formally signed it-is a criminal offence. Section Three has all kinds of juicy hidden provisions to make life easy for spooks like us; it's a bureaucratic cloaking field. Anything at all can go on behind the shroud of Section Three as if it simply hasn't happened. In American terms, it's a black operation.

"If you section him we have to come up with a job and a budget," Harriet accuses.

"Yes, but I'm sure he'll be useful." Andy waves languidly. "Boris, would you mind asking around your section, see if anyone needs a mathematician or cryptographer or something? I'll write this up and point it at the Board. Harriet, if you can add it to the minutes. Bob, I'd like a word with you after the meeting, about timekeeping."

Oh shit, I think.

"Anything else? No? Meeting over, folks."

Once we're alone in the conference room Andy shakes his head. "That wasn't very clever, Bob, winding Harriet up like that."

"I know." I shrug. "It's just that every time I see her I get this urge to drop salt on her back."

"Yes, but she's technically your line manager. And I'm not. Which means you are supposed to phone in if you're going to be late on a day when you've got a kickoff meeting, or else she will raise seven shades of low-key shit. And as she will be in the right, appeals to matrix management and conflict resolution won't save you. She'll make your annual performance appraisal look like it's the Cultural Revolution and you just declared yourself the reincarnation of Heinrich Himmler. Am I making myself clear?"

I sit down again. "Yes, four very bureaucratic values of clear."

He nods. "I sympathise, Bob, I really do. But Harriet's under a lot of pressure; she's got a lot of projects on her plate and the last thing she needs is to be kept waiting two hours because you couldn't be bothered to leave a message on her voice mail last night."

Putting it that way, I begin to feel like a shit-even though I can see how I'm being manipulated. "Okay, I'll try harder in future."

His face brightens. "That's what I wanted to hear."

"Uh-huh. Now I've got a sick Beowulf cluster to resurrect before Friday's batch PGP cluster-fuck kicks off. And then a tarot permutator to calibrate, and a security audit for another of those bloody collecting card games in case a bunch of stoned artists in Austin, Texas, have somehow accidentally produced a great node. Is there anything else?"

"Probably not," he murmurs, standing. "But how did you like the opportunity to get out and about a bit?"

"It was wet." I stand up and stretch. "Apart from that, well, it made a change. But I might get serious about that overtime claim if it happens too regularly. I wasn't kidding about the frogs."

"Well, maybe it will and maybe it won't." He pats me on the shoulder. "You did all right last night, Bob. And I understand your problem with Harriet. It just so happens that there's a place on a training course open next week; it'll get you out from under her feet and I think you'll enjoy it."

"A training course." I look at him. "What in? Windows NT system administration?"

He shakes his head. "Computational demonology for dummies."

"But I already did-"

"I don't expect you to learn anything in the course, Bob. It's the other participants I want you to keep an eye on."

"The others?"

He smiles mirthlessly. "You said you wanted an active service job…"

WE ARE NOT ALONE, THE TRUTH IS OUT THERE, yadda yadda yadda. That kind of pop-culture paranoia is mostly bunk… except there's a worm of truth at the heart of every fictional apple, and while there may be no aliens in the freezer room at Roswell AFB, the world is still full of spooks who will come through your window and trash your hard disk if you discover the wrong mathematical theorem. (Or worse, but that's another kind of problem, one the coworkers in Field Ops get to handle.)

For the most part, the universe really does work the way most of the guys with Ph.D.s after their names think it works. Molecules are made out of atoms which are made out of electrons, neutrons, and protons-of which the latter two are made out of quarks-and quarks are made out of lepto-quarks, and so on. It's turtles all the way down, so to speak. And you can't find the longest common prime factors of a number with many digits in it without either spending several times the life of the entire universe, or using a quantum computer (which is cheating). And there really are no signals from sentient organisms locked up in tape racks at Arecibo, and there really are no flying saucers in storage at Area 51 (apart from the USAF superblack research projects, which don't count because they run on aviation fuel).

But that isn't the full story.

I've suffered for what I know, so I'm not going to let you off the hook with a simple one-liner. I think you deserve a detailed explanation. Hell, I think everybody deserves to know how tenuous the structure of reality is-but I didn't get to make the rules, and it is a Very Bad Idea to violate Laundry security policy. Because Security is staffed by things that you really don't want to get mad at you-in fact, you don't even want them to notice you exist.

Anyway, I've suffered for my knowledge, and here's what I've learned. I could wibble on about Crowley and Dee and mystics down the ages but, basically, most self-styled magicians know shit. The fact of the matter is that most traditional magic doesn't work. In fact, it would all be irrelevant, were it not for the Turing theorem-named after Alan Turing, who you'll have heard of if you know anything about computers.

That kind of magic works. Unfortunately.

You haven't heard of the Turing theorem-at least, not by name-unless you're one of us. Turing never published it; in fact he died very suddenly, not long after revealing its existence to an old wartime friend who he should have known better than to have trusted. This was simultaneously the Laundry's first ever success and greatest ever disaster: to be honest, they overreacted disgracefully and managed to deprive themselves of one of the finest minds at the same time.

Anyway, the theorem has been rediscovered periodically ever since; it has also been suppressed efficiently, if a little bit less violently, because nobody wants it out in the open where Joe Random Cypherpunk can smear it across the Internet.

The theorem is a hack on discrete number theory that simultaneously disproves the Church-Turing hypothesis (wave if you understood that) and worse, permits NP-complete problems to be converted into P-complete ones. This has several consequences, starting with screwing over most cryptography algorithms-translation: all your bank account are belong to us-and ending with the ability to computationally generate a Dho-Nha geometry curve in real time.

This latter item is just slightly less dangerous than allowing nerds with laptops to wave a magic wand and turn them into hydrogen bombs at will. Because, you see, everything you know about the way this universe works is correct-except for the little problem that this isn't the only universe we have to worry about. Information can leak between one universe and another. And in a vanishingly small number of the other universes there are things that listen, and talk back-see Al-Hazred, Nietzsche, Lovecraft, Poe, et cetera. The many-angled ones, as they say, live at the bottom of the Mandelbrot set, except when a suitable incantation in the platonic realm of mathematics-computerised or otherwise-draws them forth. (And you thought running that fractal screen-saver was good for your computer?)

Oh, and did I mention that the inhabitants of those other universes don't play by our rule book?

Just solving certain theorems makes waves in the Platonic over-space. Pump lots of power through a grid tuned carefully in accordance with the right parameters-which fall naturally out of the geometry curve I mentioned, which in turn falls easily out of the Turing theorem-and you can actually amplify these waves, until they rip honking great holes in spacetime and let congruent segments of otherwise-separate universes merge. You really don't want to be standing at ground zero when that happens.

Which is why we have the Laundry…

I SLINK BACK TO MY OFFICE VIA THE COFFEE maker, from which I remove a mug full of a vile and turgid brew that coats my back teeth in slimy grit. There are three secret memos waiting in the locked pneumatic tube, one of which is about abuse of government-issue toothpaste. There are a hundred and thirty-two email messages waiting for me to read them. And on the other side of the building there's a broken Beowulf cluster that's waiting for me to install a new ethernet hub and bring it back online to rejoin our gang of cryptocrackers. This is my fault for being the departmental computer guy: when the machines break, I wave my dead chicken and write voodoo words on their keyboards until they work again. This means that the people who broke them in the first place keep calling me back in, and blame me whenever they make things go wrong again. So guess what gets my attention first? Yes, you guessed right: it's the institutional cream and off-green wall behind my monitor. I can't even bring myself to read my mail until I've had a good five minutes staring at nothing in particular. I have a bad feeling about today, even though there's nothing obviously catastrophic to lock onto; this is going to be one of those Friday the Thirteenth type occasions, even though it's actually a rainy Wednesday the Seventeenth.

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