World Solve

Future cities may experience extreme heat precisely when electricity and water systems are least able to support cooling. The challenge is coordinating urban design, demand management, public health, and energy policy under compound stress. The solution must work with limited capital, intermittent services, and local maintenance capacity. The research opportunity is to define measurable success criteria, test the approach in realistic settings, identify failure modes, and create a pathway from prototype to accountable deployment.

Ransomware groups increasingly target hospitals, schools, and utilities precisely because the disruption pressures victims to pay quickly. Defenses have improved, but attackers are still winning often enough to make this an ongoing crisis.

Millimeter-sized meteoroids travel at tens of kilometers per second and pose catastrophic puncture risks to satellites and spacecraft hulls. Ultra-sensitive impact sensors and wide-field detection arrays are needed.

Lava tubes offer natural radiation shielding for habitats, but traditional wheeled rovers cannot enter steep vertical entrances. Tethered, legged, or flying drone swarms designed for dark micro-gravity caves are needed.

Persistent dizziness linked to inner ear problems can be difficult to diagnose precisely and treat effectively, leaving many patients with ongoing symptoms. A more reliable, targeted treatment approach remains undeveloped.

A large enough solar storm could damage transformers and electronics across entire continents, and current models can't precisely predict which systems would fail. Better modeling could guide smarter infrastructure protection investment.

Certain constructions, like doubling a cube's volume using classical tools, were proven impossible, but a full classification of every possible constructible versus non-constructible case remains an evolving area. This connects ancient geometry with modern algebra.