This unusual novel takes place in a universe that was exactly like ours until the late 20th Century, but from that point on is altered by a horrific annual event: Anyone who dies on the day of the equinox comes back as one of the wretched, monstrous both in appearance and behavior. The primary protagonists are a married couple who work as “fencers”, people who fight those monsters.
These are the three primary ways that mathematics arises in this novel:
- The real mathematician Alexander Grothendieck is repeatedly and unquestioningly blamed for having caused the problem with the wretched. How, you may ask, could a mathematician be responsible for dead people coming back as “fae”? Apparently, it is because he wrote a book about environmentalism which convinced President Ronald Reagan to support the creation of nature preserves.
- The organization that deploys the fencers to battle the wretched also has a large division of mathematicians. Although they are supposedly on the same side as the our protagonists, the mathematicians are described in very negative terms. At first they just seem unhelpful, they later are found to be working towards their own alternative goals.
- Each fencer has a unique prime number “tattooed” on their skin which imbues them with super powers. These numbers just appear and are not chosen by people or tattooed with ink in the usual sense. The smaller the prime the greater the powers. And so the rogue fencer known as “Arthur Miracle” who had the number 2 is the most powerful of all.
In addition to the mathematicians who work with (but perhaps secretly against) the fencers, there are also historians. One young historian (whose thesis appears in excerpts throughout the book) has a theory that the ultimate source of the horrors is “The Bloodless Queen” of the title. Her theory is not particularly mathematical, as far as I can tell, but it is tied to Grothendieck. Although the other historians are not at all convinced, the thesis is supported by evidence in the form of anecdotes about someone Grothendieck met as a boy while being held in a concentration camp by the Nazis. Among other things, she is supposed to have taught him that a circle is made up of all points equidistant from a fixed point. This was supposedly “the Queen of Faerie herself, emerging from fae realm to seed into the receptive mind of young Alexander Grothendieck the very ideas that would lead him to fame, to madness, and to pen the very book that would go on to ruin the world!”
There are characters in the book named Ordinal and Aleph, and perhaps those are also references to mathematics but I’m not sure.
One would, of course, hope that a reader is smart enough not to think any less of Alexander Grothendieck, Ronald Reagan, environmentalism, or the field of mathematics due to their negative portrayals in this fantastical work of fiction. But, I do honestly worry that this is not the case. A reader who knows nothing about Grothendieck before reading this book might well be left with the impression that he is responsible for bringing something horrific into the world. And a reader who was already biased against math or environmentalism might believe they have found support for their prejudices in this completely made up story.
Here are some quotes from the book to illustrate what I’ve been saying above:
| (quoted from The Bloodless Queen)
A History of Fences and Fae by AK Senga, PhD
Published in 2027 by University of Minnesota Majestic Press Excerpt from Introduction: "Nancy Reagan, Ulysses H. Wright, and The Last Thylacine”
This story has many beginnings.
Here is one: Alexander Grothendieck was born in 1928, became one of the world's best mathematicians early in his life, and in 1970, with several of his friends, formed a radical environmentalist group called Survivre et Vivre. This group, after little more than a year, wrote the book that would destroy modern civilization.
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| (quoted from The Bloodless Queen)
The real secret of that third building was below, where seven floors spread like rotten roots underground, long concrete hallways, walls made of chalkboards, computer terminals punctuating the monotony.
Evangeline had only seen the fifth basement floor, where she'd been asked to step out for her tests, and Cal had only seen the third, but that had been enough for them.
It was the calculators' building, where primes were studied and examined, pursued and caught. Where the mathematicians worked in darkness and silence.
They called it the Sieve.
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| (quoted from The Bloodless Queen)
The only one in the room who didn't laugh at Stone Weaver's guess was a woman sitting at the way back of the room, behind the final row of fencers lounging in their chairs, outside of the purview of the meet-ing. She watched, observed, but did not participate. And when everyone else laughed, she stayed still and silent.
A mathematician, one of the Sieve workers, wearing the white-and-black lab coat of her order. On her lap was an open notebook, the glint of a pen in one hand. No matter the meeting, no matter the participants, the Sieve workers always sent an envoy to sit in. Officially, this was to "maintain open channels of communication between the practical and theoretical work of the Midwest Branch of the United States Fencing Bureau," or so the emails between different departments said.
Technically, the "practical" workers-fencers and techs, administrators and engineers—were always welcome to send envoys to meetings held in the Sieve, but almost no one ever wanted to go, and the mathematicians were not forthcoming with their own schedules, often burying them deep in the labyrinthine organizational system they used to keep their digital files.
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| (quoted from The Bloodless Queen)
"It's our math friend again, sitting with the only one in the room who can stand her," Cal said, nudging Evangeline and nodding toward the pair in the back. The mathematician, Sister Marla, had been the envoy at their last four or five meetings. "Do you think it's punishment for them to attend these? Maybe she forgot to carry the one in some all-important equation and this is her penance."
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| (quoted from The Bloodless Queen)
What do you think Sister Marla is working on? Cal wrote on his own
pad of paper, pushing the message toward Evangeline.
Proof for the existence of a soul? Calculations for fae court power? Plans for world domination? Evangeline wrote back, one eyebrow rising into a soft arc.
I bet it's a grocery list, and she just wants us to think it's something mathy
and important.
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| (quoted from The Bloodless Queen)
On September 23rd, 1987, approximately 5452 people across the globe woke to find tattoos covering their skin. At first, these tattoos were thought to be merely random, chaotic assortments of numbers placed over the necks and chests and limbs and backs—everywhere but the faces—of these people. However, in time, and with the help of doctors and mathematicians, these tattoos were analyzed and found to be connected, with every numeral constituting one larger number, always prime, and always unique.
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| (quoted from The Bloodless Queen)
Sister Hanka, director of the mathematician corps, stood silent and watchful, her face like a mask. She wore the black-and-white robes of her order, the same as Sister Marla and all the mathematicians working in the Sieve and in every other facility housing the prime seekers and number-crunchers employed to work alongside the fencers and techs.
Sister Hanka took her name—her title, really, since there had been several Sisters Hanka over the years—from the holy mother of mathematics, Johanna "Hanka" Grothendieck, mother of that dark and desperate prophet Alexander Grothendieck. Like Catholics who worshipped the Virgin Mary as the giver of life to their holy lord, so, too, did mathematicians vaunt the mother of their hallowed daemon.
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| (quoted from The Bloodless Queen)
"What are you always writing?" Cal asked the question as if it had been bouncing around inside his chest for months, which, Evangeline knew, it had. "Do you have some theorem or formula you're plugging this tiny bit of information into over and over? Is it notes to yourself. The met actual writers who don't write nearly as much as you.”
"Excuse my colleague," Incident said, putting a pacifying hand on
Sister Marla's shoulder. "He's rude.”
The thin wave of humor that had buoyed up Cal's question now re-ceded, and Evangeline could see his thoughts running along the same path as hers, down into that memory of seeing the Sieve for the fins time, being led down those hallways and subjected to tests and questions, made to stand still and alone in a vast dark room while something moved in that vast, lightless space. The strange, geometrically uncanny rooms. The mathematicians in their black-and-white lab coats shuttling along hallways, muttering endlessly to themselves. The sense that those hallways did not end but instead ran onward through earth and stone, under rivers and lakes, until arriving at another Sieve beside another Harbor where more mathematicians worried and worked at the endless problem of the hiding primes.
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| (quoted from The Bloodless Queen)
The only physical manifestation of her [super power] were the red tears that ran in thin rivulets from each eye. … It was the blood of the famous, the disgraced, the brilliant mathematician Alexander Grothendieck.
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| (quoted from The Bloodless Queen)
The Tempest King softened as he spoke. “This is ours. Every bit of this Earth is ours. And thanks to some crazy mathematician in the past who was probably controlled by the Faerie Queen, we gave half of this place over to nature.”
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