World Solve

Fishing vessels operating far offshore remain hidden from labor inspectors, leading to severe physical abuse and human rights violations of migrant crews.

High natural fluoride concentrations in deep groundwater cause irreversible skeletal fluorosis among rural children who lack alternative drinking water.

Newly planted young mangrove saplings are routinely washed away by increasingly intense storms before establishing deep root structures.

Chronic pelvic pain often has no clearly identifiable cause even after extensive testing, leaving many patients with limited treatment options. A deeper understanding of its underlying causes remains needed.

Agencies tasked with overseeing complex fields like AI or cybersecurity sometimes have few employees who deeply understand the technology they're regulating. This expertise gap can lead to rules that are either too vague or poorly targeted.

Complicated issues like constitutional changes or international agreements are occasionally put to a simple yes or no vote, even though the details matter enormously and most voters can't research them fully in advance. This risks major decisions being made on incomplete understanding.

Fewer people are voting even in countries with a long history of democratic participation, suggesting something deeper than simple apathy is at play. Understanding and reversing this trend remains an open challenge for democratic governance.

Almost all current reusable rocket technology is built for missions close to Earth, while deep space missions still rely on expensive, largely disposable hardware. Extending reusability further out could reshape space exploration economics.

International law sets minimum obligations toward refugees, but whether wealthier nations have a deeper moral duty beyond the legal minimum remains a genuinely contested ethical question.

Allowing payment for organs or surrogacy could increase availability and help people in need, but also raises concerns about exploitation of the poor. Society remains deeply divided on where ethical limits should sit.

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.

Cosmic radiation gradually damages electronics, and there's no way to send a repair technician to fix something millions of miles away. More radiation-hardy systems are essential for missions lasting a decade or more.

Fast radio bursts flash briefly and then vanish, and we still don't fully understand what causes them. Some theories point to exotic stars, but no explanation is fully confirmed yet.

Every kilogram of fuel launched from Earth adds enormous cost to a mission. Producing fuel on-site from ice or soil could make deep space missions dramatically more affordable.

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.

Some sequences and structures appear chaotic without ever settling into repetition, and proving whether repetition is truly avoidable in specific systems remains unresolved. This connects deeply to dynamical systems and number theory.

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.

Irrational numbers have infinite, non-repeating digits, and while we can calculate them to enormous precision, no simple predictive pattern for their exact sequence has been found. This touches on deep unresolved questions in number theory.

Ramsey-type problems ask whether order must always emerge within sufficiently large or complex systems, and while some cases are proven, the general boundaries remain incompletely mapped. This connects deeply to combinatorics and the philosophy of mathematical order.

Even our best physical models rely on approximations or idealized assumptions, and whether a truly complete and exact mathematical simulation is even theoretically possible remains unresolved. This touches on the deep relationship between mathematics and the physical world.