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Archive for the ‘mathematics’ category: Page 2

Dec 9, 2024

How Evolution Shaped the Brain’s Understanding of Numbers

Posted by in categories: biotech/medical, evolution, mathematics, neuroscience

Summary: Human number cognition may be rooted in the putamen, a deep brain structure traditionally associated with movement rather than abstract thought. Neurosurgery patients demonstrated activity in this area while processing numbers as symbols, words, and concepts, suggesting that numerical understanding emerged early in evolution.

Researchers also observed activity in expected areas like the parietal lobe, highlighting how different brain regions collaborate in number processing. These findings could improve surgical outcomes by protecting areas crucial for number cognition and open pathways to enhancing math learning through targeted interventions.

Dec 9, 2024

That Time A Particle Accelerator Helped Discover The Lost Works Of Archimedes

Posted by in categories: mathematics, particle physics, sustainability

It was 1,229 CE in the monastery of St Sabas, near Jerusalem, and a monk named Johannes Myronas was in need of some parchment. He had evidently been tasked with creating a copy of the Euchologion – an important book of prayer and worship directions for Eastern Orthodox and Byzantine Catholic churches.

The problem was, parchment was expensive and hard to come by. Recycling was the name of the game, and Johannes had just the thing: a 200-year-old manuscript filled with old math notes that nobody was all that interested in anymore. Compared with the Holy Word, there was no contest: he pulled it apart, scraped the old text off, and used the pages for the new book – a technique known as palimpsesting.

You probably know where this is going. In creating his Euchologion, Johannes had – presumably unwittingly – destroyed one of the most valuable relics of Archimedes’s work. Not just some notebook or single treatise, even: the manuscript now known as “Codex C” contained multiple works from the ancient polymath, some of which now exist nowhere else in the world.

Dec 7, 2024

This Theory of Everything Actually Makes a Prediction: New Physics in Black Holes

Posted by in categories: computing, cosmology, mathematics, open access, physics

Learn science, computer science, and mathematics in the easiest and most engaging way possible with Brilliant! First 30 days are free and 20% off the annual premium subscription when you use our link ➜ https://brilliant.org/sabine.

Mathematician Stephen Wolfram has attempted to develop a theory of everything using hypergraphs, which are essentially sets of graphs that can describe space-time. Recently, another mathematician named Jonathan Gorard has used hypergraphs to describe what happens if a black hole accretes matter. He claims that evidence for hypergraphs should be observable in the energy that is emitted during the accretion. Big if true, as they say. Let’s take a look.

Continue reading “This Theory of Everything Actually Makes a Prediction: New Physics in Black Holes” »

Dec 7, 2024

Teen Mathematicians Tie Knots Through a Mind-Blowing Fractal

Posted by in category: mathematics

Three high schoolers and their mentor revisited a century-old theorem to prove that all knots can be found in a fractal called the Menger sponge.

Dec 7, 2024

Danish student makes groundbreaking black hole discovery

Posted by in categories: cosmology, mathematics

Discover the groundbreaking insights into gravitational lensing and black holes, unraveling elegant mathematics and revealing cosmic mysteries.

Nov 30, 2024

Scientists uncover photon’s shape, could unlock light-matter secrets

Posted by in categories: mathematics, quantum physics

Scientists now use a new mathematical model to reveal the geometry of photons, previously elusive.


A groundbreaking study from the University of Birmingham has revealed the shape of a photon and its interaction with quantum emitters.

Nov 29, 2024

Tiny rotating particles create vorticity in viscous fluids, yielding fascinating new behaviors

Posted by in categories: engineering, information science, mathematics, particle physics

Vorticity, a measure of the local rotation or swirling motion in a fluid, has long been studied by physicists and mathematicians. The dynamics of vorticity is governed by the famed Navier-Stokes equations, which tell us that vorticity is produced by the passage of fluid past walls. Moreover, due to their internal resistance to being sheared, viscous fluids will diffuse the vorticity within them and so any persistent swirling motions will require a constant resupply of vorticity.

Physicists at the University of Chicago and applied mathematicians at the Flatiron Institute recently carried out a study exploring the behavior of viscous fluids in which tiny rotating particles were suspended, acting as local, mobile sources of vorticity. Their paper, published in Nature Physics, outlines fluid behaviors that were never observed before, characterized by self-propulsion, flocking and the emergence of chiral active phases.

“This experiment was a confluence of three curiosities,” William T.M. Irvine, a corresponding author of the paper, told Phys.org. “We had been studying and engineering parity-breaking meta-fluids with fundamentally new properties in 2D and were interested to see how a three-dimensional analog would behave.

Nov 28, 2024

Huge Physics Anomaly Finally Put to Test, But That Just Makes it More Confusing

Posted by in categories: computing, mathematics, open access, particle physics

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Ten years ago, physicists discovered an anomaly that was dubbed the “ATOMKI anomaly”. The decays of certain atomic nuclei disagreed with our current understanding of physics. Particle physicists assigned the anomaly to a new particle, X17, often described as a fifth force. The anomaly was now tested by a follow-up experiment, but this is only the latest twist in a rather confusing story.

Continue reading “Huge Physics Anomaly Finally Put to Test, But That Just Makes it More Confusing” »

Nov 27, 2024

The Core Equation Of Neuroscience

Posted by in categories: computing, information science, mathematics, neuroscience, particle physics

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Nov 24, 2024

Why the [expletive] can’t we travel back in time?

Posted by in categories: cosmology, mathematics, physics, time travel

Observations of the cosmic microwave background, leftover light from when the Universe was only 380,000 years old, reveal that our cosmos is not rotating. Infinitely long cylinders don’t exist. The interiors of black holes throw up singularities, telling us that the math of GR is breaking down and can’t be trusted. And wormholes? They’re frighteningly unstable. A single photon passing down the throat of a wormhole will cause it to collapse faster than the speed of light. Attempts to stabilize wormholes require exotic matter (as in, matter with negative mass, which isn’t a thing), and so their existence is just as debatable as time travel itself.

This is the point where physicists get antsy. General relativity is telling us exactly where time travel into the past can be allowed. But every single example runs into other issues that have nothing to do with the math of GR. There is no consistency, no coherence among all these smackdowns. It’s just one random rule over here, and another random fact over there, none of them related to either GR or each other.

If the inability to time travel were a fundamental part of our Universe, you’d expect equally fundamental physics behind that rule. Yet every time we discover a CTC in general relativity, we find some reason it’s im possible (or at the very least, implausible), and the reason seems ad hoc. There isn’t anything tying together any of the “no time travel for you” explanations.

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