MATHEMATICAL FICTION:

a list compiled by Alex Kasman (College of Charleston)

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Singleton (2002)
Greg Egan
(click on names to see more mathematical fiction by the same author)
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This story involves a physicist and a mathematician who have a child -- well, sort of -- that they have specially designed to remain in a "classical" state (as opposed to a quantum superposition of states) so that the universe will not divide each time it makes a decision. You've got to admit, this is not a literary cliche, at least not yet.

The story is very well crafted, from its opening drama that motivates the physicist character's interest in avoiding the moral dilemmas he suffers due to Everett's "Many Universes" interpretation of quantum physics, to the careful detail to the math and physics, and finally through to the emotionally satisfying ending. In reality, it is much more a story about physics than about math, but it is such a nice story that I've decided to include it here even though it only has bits of math in it.

So, let's focus for a moment on the math, even though it is mostly irrelevant to the story. The two main characters are a male physicist and female mathematician who meet as undergraduates in a complex analysis class. There is a description of them working together, and we see how "the Cauchy-Riemann Equations" later becomes a romantic code word for them after years as a married couple that there is something serious they need to discuss.

It is nice to see a female mathematician character who is so realistic and well grounded. She is described as being a talented mathematician and the chair of her department, but we don't really get to see any of her work and she plays a relatively small role in the main storyline.

There are two other ways in which mathematics, at least tangentially, shows up in this story. Much of the story is about quantum computing. Certainly, there is a lot of mathematics in quantum computing. Some of the most significant results in the field were developed by mathematician Peter Shor, and I know lots of mathematicians working on quantum computing. However, these mathematical aspects are not explicitly discussed in the story. Instead, the focus is on this idea that a quantum computer could be forced to remain in a classical state through frequent forced "wave collapse".

Also, perhaps as an indication of how carefully Egan thinks out his fantastical stories, he includes a discussion of mathematician Roger Penrose's theory that the brain makes use of quantum superposition. Although he doesn't specifically mention this reason anywhere in the story, I imagine that Egan recognized that Penrose's theory -- if it were true -- would prevent the ADAI ("Autonomously Developing Artificial Intelligence") in the story from being able to think in the same way that actual humans do. And so he has a subplot in which the physicist takes part in a psychology experiment that disproves Penrose's hypothesis.

Since I'm focusing on the math and tangentially the physics, I'm not addressing the emotional side of the story here. There is an emotional story -- runaway children, marital tensions, kidnapping and rape -- all well told and worth the read.

The story was originally published in Interzone #176, February 2002, but I am pleased to announce that Egan has posted the story on his website and so it is now available for free. (Just click on the title above or the link below to get to it.)

More information about this work can be found at gregegan.customer.netspace.net.au.
(Note: This is just one work of mathematical fiction from the list. To see the entire list or to see more works of mathematical fiction, return to the Homepage.)

Works Similar to Singleton
According to my `secret formula', the following works of mathematical fiction are similar to this one:
  1. Border Guards by Greg Egan
  2. The Infinitive of Go by John Brunner
  3. Diaspora by Greg Egan
  4. Dark Integers by Greg Egan
  5. Schild's Ladder by Greg Egan
  6. The Planck Dive by Greg Egan
  7. Distress by Greg Egan
  8. Into Darkness by Greg Egan
  9. The God Patent by Ransom Stephens
  10. The Hollow Man by Dan Simmons
Ratings for Singleton:
RatingsHave you seen/read this work of mathematical fiction? Then click here to enter your own votes on its mathematical content and literary quality or send me comments to post on this Webpage.
Mathematical Content:
2.5/5 (2 votes)
..
Literary Quality:
4.5/5 (2 votes)
..

Categories:
GenreScience Fiction,
MotifAcademia, Female Mathematicians, Romance,
TopicAnalysis/Calculus/Differential, Mathematical Physics, Real Mathematics,
MediumShort Stories, Available Free Online,

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Your Help Needed: Some site visitors remember reading works of mathematical fiction that neither they nor I can identify. It is time to crowdsource this problem and ask for your help! You would help a neighbor find a missing pet...can't you also help a fellow site visitor find some missing works of mathematical fiction? Please take a look and let us know if you have seen these missing stories anywhere!.

(Maintained by Alex Kasman, College of Charleston)