A weekly notice from the margins of math and science

Marginalia

the good stuff, allegedly

Issue №5 · 29 September 2026
Math

The Math Trick That Wins Wordle 99% of the Time

Most people guess words they think might be right. Researchers found a smarter way: guess whatever teaches you the most, whether or not it's the answer.

Wordle gives you six tries to guess a five-letter word, and most people play by guessing common words and using the colored hints to narrow things down. A team at Binghamton University — professor Congyu "Peter" Wu with students Donald Stephens and Talal Aladaileh — wondered if math could do better, and reached for an idea from the 1940s called Shannon entropy, a way of measuring how much a guess actually teaches you, separate from how likely it is to be correct. Their strategy doesn't try to guess the answer early: it picks whichever guess would rule out the most other possibilities, even a "weird" word with zero chance of being right, purely for what it eliminates. Tested by computer against every possible Wordle answer, it won 99% of the time, versus about 90% for the common-letter tricks most players already use. "A guess doesn't have to be the most likely answer," said Stephens. "It simply has to be informative."

ScienceDaily, reporting Binghamton University / Northeast Journal of Complex Systems · Sept 12, 2026 · sciencedaily.com

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Why it's hereWordle is a genuinely great way to feel what "information," in the precise sense mathematicians use the word, actually means — and it's a strategy anyone can try in their next game tonight.

Physics

Scientists Made Matter Appear Out of Nowhere — on Purpose

Stretch two connected particles far enough apart and, in theory, empty space itself gives out and turns into new matter. A tiny quantum computer just watched it happen.

Physics makes a wild-sounding but real prediction: pull two connected particles apart with enough force, and the empty space between them can't stay empty forever — it eventually "breaks" and turns directly into new matter, particles built from pure energy. It's the same idea as Einstein's famous E=mc², just running in reverse, and normally it only happens under conditions physicists can't easily reach. A team led by Christopher Monroe at Duke University, with graduate student Arinjoy De as lead author and collaborators at five other universities, built a stand-in for that stretching using 13 charged atoms held in place with lasers, arranged like a tiny chain. As they pulled the simulated chain apart, the researchers watched it snap and new particle pairs pop into existence right where the underlying physics said they should, matching the equations almost exactly. It's a small, controlled experiment, not an actual particle collider, but for the first time it lets scientists watch a process from the extreme edge of physics happen on demand, on a machine they can control.

ScienceDaily, reporting Duke University / Nature Physics · Sept 23, 2026 · sciencedaily.com

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Why it's here"Matter appearing out of empty space" sounds like science fiction, but it's a real, math-backed prediction — this is one of the first times anyone has watched a working stand-in for it happen on command instead of just calculating that it should.

Chemistry

Tiny Particles That Make Invisible Chemistry Glow

Some molecules are built from the exact same atoms but shaped like mirror images of each other. A new glowing nanoparticle can tell them apart just by lighting up.

Some pairs of molecules are made of identical atoms arranged in slightly different shapes — like a left hand and a right hand — and telling them apart usually needs expensive lab equipment. Engineers at the University of Toronto, led by Kai Huang with first author Jiaze Wu, built glowing nanoparticles that flip that problem around: shine a harmless infrared laser on them, the same kind of light used in a TV remote, and they convert it into a brighter, easy-to-see green glow that shows up differently depending on which molecules are nearby. Because low-energy light goes in and higher-energy light comes out, there's almost no background glow to compete with — as Huang put it, "it's like the difference between stargazing at night versus the daytime." The team's newest version is about 150 times brighter than earlier versions of the same idea, bright enough to catch even faint traces of a chemical. The likely uses are refreshingly practical: catching impurities in medicine before it ships, or spotting pollution in water, without needing a full lab to do it.

ScienceDaily, reporting University of Toronto / Journal of the American Chemical Society · Sept 19, 2026 · sciencedaily.com

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Why it's hereA genuinely clever piece of chemistry with an obvious payoff — cheaper, faster pollution and drug-safety testing — rather than a result that only matters to other chemists.

Biology

Two Brand-New, Genuinely Creepy Sea Spiders

One grooms itself with comb-like spines. The other is basically its own walking ecosystem, covered in hitchhikers. Both were just named for the first time.

Sea spiders aren't actually spiders — they're a strange, separate group of ocean animals — and a team at the University of British Columbia, led by master's student Cormac Toler-Scott, just found two kinds nobody had ever named before, living in the Salish Sea off British Columbia and Washington state. The first, Callipallene pilosuspedes (Latin for "hairy feet"), has bright red eyes, a triangular mouth split into three feeler-lined lips, and comb-like spines it uses to groom itself, which the team watched happen under a microscope. The second, Tanystylum kiixin, named for an ancient Indigenous village site, is usually covered in tiny hitchhiking parasites and debris — Toler-Scott calls it "an ecosystem within an ecosystem within an ecosystem." The team confirmed both were genuinely new using DNA testing, not just looks, and it's the first new species found in the Salish Sea in nearly 100 years. "In order to understand how marine invertebrates are being impacted by things like climate change," Toler-Scott said, "we have to be able to identify them."

ScienceDaily, reporting University of British Columbia / Organisms Diversity & Evolution · Sept 25, 2026 · sciencedaily.com

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Why it's hereNew species turn up more often than people think, especially in the ocean — this pair earns its spot for being genuinely bizarre-looking, and because "we can't protect what we haven't even named" is a real, practical argument, not just a slogan.

Medicine

Your Immune System Might Be Attacking Your Own Brain

In mice bred to develop a brain disease like Alzheimer's, blocking immune cells from entering the brain cut damage by 40% — even though the disease-causing protein kept building up anyway.

Most drugs for Alzheimer's-type brain diseases try to clear out a sticky protein called tau, and most of them have to get into the brain to do that, which is hard and often doesn't work well. A team at Washington University in St. Louis tried something different: they gave mice bred to build up tau an antibody that blocks CXCR3, a signal that immune cells called T cells use to find their way into damaged tissue — essentially locking the brain's door against them. Mice that got the antibody lost about 40% less tissue in memory-related brain regions and did better on memory tests than untreated mice, even though both groups still built up roughly the same amount of tau — meaning the immune cells, not the protein alone, were doing a lot of the damage. Because the antibody works from outside the brain, it could sidestep one of the biggest problems with brain drugs: actually getting into the brain in the first place. It's still just a mouse study of one antibody, though, and the researchers are upfront that nobody yet knows whether the same trick works, or helps, in people.

STAT News, reporting Washington University in St. Louis / Neuron · Sept 29, 2026 · statnews.com

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Why it's hereA real "wait, what?" result — the immune system, not just the famous sticky protein, doing a lot of the damage — but it's mice only, so it belongs here as a lead worth watching, not a treatment you'll see anytime soon.

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