World Solve

A severe solar storm could knock out satellites, GPS, and even electrical grids with little warning. Better prediction would give critical infrastructure time to prepare or shut down safely.

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.

We understand the general physics of dying stars, but the precise trigger moment inside a collapsing star remains difficult to observe and model. Solving this would sharpen predictions about stellar life cycles across the universe.

Every lunar mission so far has been short-term, relying entirely on supplies brought from Earth. A base that grows its own food, recycles its own water, and generates its own power would prove long-term space settlement is possible.

If P equaled NP, countless hard problems in logistics, cryptography, and optimization could be solved efficiently, but most computer scientists suspect they can't. This remains the most famous open question in computer science.

Sphere-packing problems are solved for a few specific dimensions, but the general pattern across all possible dimensions remains unknown. This affects fields ranging from error-correcting codes to theoretical physics.

Quantum computers show promise for specific problems like factoring, but whether they offer a genuine speedup across all hard computational problems remains unproven. This question sits at the intersection of mathematics, physics, and computer science.

This boolean satisfiability problem is central to computer science, and no efficient general method is known for solving every possible case quickly. It remains a benchmark problem for understanding computational complexity.

Some games are proven to always end in a draw or a specific winner under perfect play, but for many complex games, this remains unresolved due to sheer computational scale. This unsolved area touches game theory, logic, and computer science.

Physical laws impose some theoretical limits on computation speed and energy use, but the exact universal boundary, if one truly exists, remains unresolved. This connects computer science directly to fundamental physics.

Some lower bounds on computational efficiency are proven for specific tasks, but a fully unified theory covering every possible algorithmic problem remains unresolved. This unresolved question shapes the outer limits of computer science.

Some deterministic functions produce output so irregular it resembles randomness, and a complete classification of exactly which rules produce this behavior remains incomplete. This unresolved boundary connects number theory, chaos theory, and computer science.

Self-referential systems often run into paradoxes, and while specific fixes exist for particular cases, no fully general and complete solution has been proven for every possible self-describing system. This unresolved tension remains central to mathematical logic and computer science.

Many famous fractals are built from simple recursive rules, but whether every possible fractal pattern can always be reduced to such a finite description remains an open mathematical question. This connects geometry, computer science, and the study of natural patterns.

Scheduling problems appear throughout logistics and computing, and while efficient solutions exist for many specific cases, a fully general efficient method remains unresolved for the broader problem family. This unresolved question connects theoretical computer science with real-world efficiency.

Many deeply held beliefs about meaning and purpose fall outside what science can confirm or deny, and it's unclear whether this should affect how seriously we treat them. This unresolved tension underlies broader debates between faith, philosophy, and empirical inquiry.

Individual conscience is often respected even against majority opinion, but it's unclear how much personal conviction alone can justify defying broader social agreement on serious ethical matters. This unresolved tension underlies debates over civil disobedience and moral dissent.

Some philosophers argue all observation and reasoning is inevitably shaped by underlying values, while others maintain a meaningful distinction between fact and value can still be preserved. This unresolved question underlies much of epistemology and philosophy of science.

Parts of the Greenland ice sheet may have already crossed tipping points where melting continues regardless of future emissions cuts. Understanding and potentially slowing this process remains one of climate science's most urgent unresolved challenges.

Biodegradable packaging alternatives exist but often don't yet match the protective qualities of traditional plastic needed to keep food safe and fresh for the same duration. Closing this performance gap remains an unresolved materials science challenge.