World Solve

Housing price bubbles tend to form, burst, and disproportionately hurt lower-income buyers and renters each cycle. Preventing this pattern from repeating remains a persistent economic policy challenge.

Local elections often receive far less security attention than national ones, despite being just as vulnerable to disinformation campaigns. Extending stronger protections down to the local level remains incomplete.

Some communities have lived with contaminated air, water, or soil for generations due to nearby industrial activity, with little formal compensation or cleanup. Establishing fair, enforceable accountability remains a persistent governance gap.

Infertility affects a significant share of couples trying to conceive, and treatments like IVF don't work for everyone or every cause. A deeper understanding of underlying causes could open new, more effective treatment paths.

Existing dementia treatments offer only modest, temporary relief from symptoms rather than meaningfully slowing the underlying disease. A real disease-modifying treatment remains one of medicine's most sought-after breakthroughs.

Heart muscle doesn't regenerate well once damaged, often leaving survivors with permanently reduced heart function. Finding a way to regrow healthy heart tissue could transform recovery for millions of survivors.

Algae blooms can quickly poison drinking water sources, sometimes going undetected until people or animals get sick. Faster, cheaper detection methods could prevent this from becoming a public health crisis.

Estimates of forest carbon storage vary significantly depending on the measurement method used, making it hard to track progress on climate goals tied to reforestation. More precise, consistent measurement remains an open challenge.

Even advanced AI systems sometimes generate plausible-sounding but incorrect answers, and users often can't tell the difference without checking elsewhere. A dependable way to prevent this remains unsolved.

Personal information is scattered across emails, cloud drives, apps, and devices, with no single reliable way to search across all of it. A unified, private personal search tool remains unbuilt.

3D printing has transformed prototyping, but printing functional circuits and electronics remains unreliable and limited. Solving this could make custom electronics production dramatically faster and cheaper.

Search results are ranked mostly by popularity and relevance signals, not by actual accuracy, letting false but engaging content rise to the top. A better system needs to weigh truthfulness, not just engagement.

Billions of people still lack any formal digital identity, cutting them off from banking, healthcare, and government services. A decentralized system could include everyone without handing control to one entity.

The leading theory involves a massive collision with early Earth, but several details still don't perfectly match the evidence we've collected from lunar samples. A fuller explanation would clarify Earth's own early history too.

This mismatch is part of the evidence for dark matter, but the details of how it shapes galaxy rotation are still not fully worked out. A better model would sharpen our understanding of galaxy formation.

Earth's magnetic field protects us from solar radiation, but the dynamo process that generates it deep underground is still only partly understood. This matters for predicting how long that protection will last.

Gödel's incompleteness theorems already showed some truths escape any fixed formal system, but the full boundary between provable and unprovable truths remains an active area of exploration. This shapes how we understand the limits of formal reasoning itself.

Despite chess being fully deterministic with no hidden information, its complexity is so vast that no one has proven who truly holds the advantage under perfect play. Solving smaller games has offered clues, but full chess remains unresolved.

This question, closely related to the once-open Poincaré Conjecture, has been resolved in three dimensions but opens further mysteries in higher-dimensional analogues. Exploring these generalizations remains an active area of topology.

Primes appear scattered with no obvious repeating pattern, and finding a true predictive formula, rather than just an approximation, remains unsolved. This is closely tied to the deeper mysteries of the Riemann Hypothesis.