redundancy

Imagine a large orchestra without a conductor. Each musician hears everyone else and adjusts to the collective hum. If every instrument amplifies its neighbors, the sound builds to a screech; if some occasionally dampen it, the orchestra may fall into silence or break into cacophony.

Two people agree to meet, but each has their own things to do. One hesitates: what if the other doesn't come? And decides not to go. The other thinks the same. The meeting doesn't happen. That's the simple mechanism the authors dissect: a joint endeavor requires everyone to invest time, but the payoff depends on whether the partner participates. In the model, each person keeps a to-do list ordered by importance.

Two daughter cells receiving equal shares from the mother: that's the familiar picture of division. But what if one gets almost everything and the other just crumbs? Stochastic modeling shows that sometimes unequal division is more advantageous. Each cell stores a protective reserve that helps it weather hardships. During division, this reserve is distributed between daughters.

A light switch clicks, and the light comes on. But imagine a switch that, with the same press, can either turn on the lamp or leave the room dark. It also remembers what it did last time, and sometimes it seems to flip a coin to decide whether to light up. This kind of behavior was found in a crystal of black phosphorus — a semiconductor just a few atomic layers thick.

In the quantum world, a fact becomes objective when its value is imprinted on many independent fragments of the environment, like a notice posted on hundreds of bulletin boards across the city. Each copy alone adds no new information, but it changes the rules of the game for anyone trying to erase that information.

Holding in mind the exact position of a pen as it's slowly moved is a routine task for the brain. For artificial neural networks, it's nearly impossible. Standard recurrent networks like GRU and LSTM tend to break continuous motion into rigid steps: the pen doesn't glide smoothly but jumps from point to point.

Wireless communication for robots is like a conversation in a noisy workshop, where every word can get lost in the din or arrive too late. In this mess, entropy of the channel, robots fail to yield in time, and coordination breaks down.

Modular satellites are built from cube-shaped blocks, like a construction toy. When struck by space debris, some blocks are destroyed, leaving a puncture. Engineers took inspiration from the way living tissue heals wounds. Surviving blocks detect disorder and trigger an alarm signal that travels at the speed of light through the entire structure.

Imagine an experienced chef during rush hour: suddenly a stove fails or a key ingredient runs out. Instead of panicking, he instantly reworks the recipes — speeding up some dishes, slowing down others, reallocating resources on the fly. This principle of dynamic adaptation underpins a new generation of ultra-reliable networks.

Technological disasters like Chernobyl rarely strike without warning. They gestate for years: organizations ignore warnings, their complexity mirroring the rise of entropy — a measure of relentless chaos that builds up unnoticed until it avalanches.

Code-writing assistants often behave like a chef who, to boil a single egg, rereads the whole cookbook. When asked to make a tiny fix, they reopen dozens of files and retrace long-familiar connections. This is unnecessary work — energy going to waste.

A wolf pack switches from chasing prey to defending its den in an instant. Engineers have instilled this same versatility into an algorithm for a robot swarm. The key is a method proposed by John von Neumann: instead of chasing the target, the robots calculate its future moves and block escape routes, like beaters cutting off trails.

The railway overhead contact line resembles a galaxy: energy flows through it like gravity, with trains becoming planets. The more trains draw current simultaneously, the stronger the voltage fluctuations — gravitational waves ripple through the system, threatening blackouts.

Wireless devices flood the airwaves with signals that blend into chaos — as if everyone in a room started talking at once. Scientists have proposed a solution: smart panels, reminiscent of acoustic tiles. Each cell can either reflect a radio wave on command, like a wall echo, or absorb it, as soundproofing dampens noise.

Imagine a fleet of many ships, resembling a galaxy — a vast stellar system where every element follows the overall dynamics. From time to time, one ship breaks down, exploding like a supernova — a catastrophic event that can disrupt the integrity of the entire formation. If the damaged unit isn't replaced in time, the fleet loses combat capability.

In quantum field theory, there is a long-standing mystery: infrared divergences. Usually they are seen as an annoying technical nuisance that must be carefully 'papered over' in calculations. But what if this is not a bug, but a feature?

A runner loses on both a smooth track and sticky sand. Seems hopeless. But if the surface underfoot starts changing every few seconds (track, then sand) the runner suddenly stops falling behind. He doesn't get faster; the environment just doesn't get a chance to 'crush' his weakness. That's exactly what the authors found when studying a simple predator–prey model.

A child builds a simple game in Scratch: a character appears in the center and instantly jumps to a corner. The first move happens between frames — no one sees it. Removing that command is safe. But how does an automatic optimization optimizer know that? Today, the Scratch repository holds tens of millions of projects written by young authors.

A person reaches out to a stranger across town. That stranger will never return the favor: they'll never meet. So why help? Biologists call this indirect reciprocity: kindness comes back not from the person you helped, but from someone else, down the line. In a new study, two variants of this idea were pitted against each other.

A person looks at a door lock and sees a keyhole. They know that a key is inserted and turned. But if instead of a keyhole there's a touch panel, the familiar frame breaks. The person doesn't just make a mistake: they realize that the usual approach won't work and can say, "There's no place for a key here; a different approach is needed." Such an honest stop with an explanation is rare for machines.

A city is a living system: it consumes resources, produces waste, and its 'circulatory system'—the road network — delivers people and goods to their destinations. But while engineers design transport arteries as rigid geometry of straight lines, nature has spent millions of years perfecting ideal distribution networks.

The brain constantly juggles tasks: it reacts to a sharp sound, solves an equation, or drifts into daydreams. Scientists have long suspected that switches between different "scenarios" of neural network activity underlie this, but extracting them from the chaos of electrical signals was difficult.

The fate of a civilization isn't just a matter of luck or disasters. Scientists simulated a thousand years of history under ten different scenarios, accounting for resource consumption, governance, and random shocks. The key metric turned out to be the 'activity coefficient' – the fraction of time when a civilization is technologically alive. At best, this fraction nears 100%; at worst, it drops to 38%.

A dense social network: everyone is connected to almost everyone else, and in this web it's hard to see who really matters. Too many threads — computers choke, simulations stall. Scientists have figured out how to prune such networks without losing what's essential. The idea is to remove connections that don't participate in shortest paths.

A chef's knife and a peeler each handle different tasks, but when a cook learns a new recipe, they often grab the same knife for everything. The brain seems to do the same when mastering a new skill of distinguishing patterns. In the experiment, monkeys trained for weeks to tell apart barely noticeable differences in complex patterns.

In a metal crystal, atoms line up in neat rows like bricks in a wall. Knock out a single brick, and you're left with a void — what scientists call a vacancy. Under irradiation, these voids multiply and start merging into large holes, sapping the metal's strength. It's like holes in a brick wall joining up into a gaping breach.

A crystal that inside resembles a sponge with a labyrinth of pores turns out to be capable of performing computations. The material, named DUT-8, consists of metal nodes and organic linkers forming an intricate lattice. Under the influence of different gases, this lattice slightly changes shape, like a house of cards that rearranges with a gentle breath.

A group of people searches for a lost item in a large park. Some get tired and leave, others join along the way. The number of searchers is constantly changing. How does this affect the search time? Until now, science had no clear answer. In a new study, a general model of such a process has been built. In it, independent participants randomly enter and leave the search.

Electrons — tiny particles in molecules — constantly maneuver, avoiding collisions like passengers during rush hour. To calculate their behavior, scientists set a personal distance rule: a mathematical function that indicates how close one electron can get to its neighbor.

An old aviation instrument sometimes sticks: the needle catches on the scale and doesn't move, even though the plane is already changing altitude. Engineers found a simple solution: add a slight vibration. The shaking doesn't hinder; on the contrary, it helps the needle break free and show the truth.