World Solve

Research shows a strong link between childhood trauma and adult physical illness, but effective, scalable prevention and early intervention remain limited. Closing this gap could improve both mental and physical health outcomes across entire populations.

Many people who experience one episode of depression go on to experience another, and current treatments don't reliably prevent this recurrence. Better long-term prevention strategies remain an important gap in mental health care.

In many federal systems, disputes over which level of government has final say on issues like healthcare or environmental regulation can delay action for years. This overlapping authority problem shows up in democracies of all sizes.

Clothing production involves water use, chemical dyes, and labor spread across many countries, making its full environmental cost difficult to measure accurately. Without clear measurement, meaningful accountability remains difficult to enforce.

Data centers powering cloud services consume enormous amounts of electricity and water for cooling, and demand keeps climbing with AI adoption. A genuinely sustainable path for this growth remains unresolved.

Decisions about resource use often weigh immediate economic gain against long-term environmental cost, and there's no settled ethical formula for how to balance the two fairly.

Some inequality is often seen as a natural result of differing effort or luck, but there's no agreed threshold for when it becomes unjust. Different political philosophies answer this question in fundamentally incompatible ways.

GDP growth doesn't capture things like wellbeing, environmental health, or inequality, yet it remains the default measure of a country's economic success. A broader, widely adopted alternative measure remains unsettled.

Malnutrition during early childhood can cause lifelong developmental harm, and crises like war or drought regularly disrupt food access for vulnerable children. Building more resilient food delivery systems in crisis zones remains urgently unresolved.

Manufacturing solar panels currently involves energy-intensive processes and some toxic materials, undercutting part of their environmental benefit. A cleaner production process would make solar energy's benefits more complete.

Data breaches exposing millions of passwords happen with striking regularity, despite widespread awareness of the problem. A more fundamentally secure approach to authentication is still needed.

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.

Classifying all finite simple groups was a monumental achievement, but fully understanding how all groups relate to and build from these simple pieces remains an ongoing task. This shapes our foundational understanding of symmetry itself.

Some mathematical truths may be true but fundamentally unprovable within any given formal system, a possibility raised by Gödel's work but not fully mapped out for all classes of statements. This unresolved boundary shapes the philosophy of computation.

Sorting algorithms have been optimized extensively, but proving a true absolute lower bound across all possible sorting methods remains an unresolved question in computational theory. This affects the fundamental efficiency limits of computing.

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.

While average behavior is well understood statistically, predicting the exact factor count for any specific number without direct calculation remains fundamentally elusive. This unresolved question touches the probabilistic side of number theory.

While unique prime factorization is proven for standard whole numbers, extending and confirming similar uniqueness properties across various generalized number systems remains an unresolved area. This continues to shape research in algebraic number theory.

Physical pain, emotional distress, and existential anguish may all count as suffering, but it's unclear whether they deserve identical moral weight or should be treated as fundamentally different categories. This unresolved question complicates how we compare and prioritize different kinds of harm.

Relationships often require compromise, but it's unclear how much personal change can reasonably be expected before it undermines someone's genuine sense of self. This unresolved tension shapes debates in both personal relationships and broader social expectations.