World Solve

Satellite internet can reach remote areas traditional cables can't, but current pricing puts it out of reach for many of the people who need it most. Bringing the cost down could close a major digital divide.

Modern prosthetic limbs can restore some movement, but most still can't let a person genuinely feel what they're touching. Restoring sensory feedback affordably remains a major unsolved bioengineering problem.

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.

Early brain-computer interfaces show promise for people with paralysis, but they remain expensive, invasive, or unreliable outside controlled lab settings. Making them practical for everyday use is still unsolved.

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.

This period, known as cosmic inflation, is widely accepted as a concept but the exact physical mechanism driving it remains unproven. Confirming it would close a major gap in our understanding of the universe's first moments.

Larger asteroids are easier to spot years ahead, but smaller ones capable of serious regional damage often go undetected until they're very close. Expanding detection capability remains a quiet but serious safety gap.

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.

Detecting gravitational waves was a breakthrough, but modeling exactly what happens during these violent mergers pushes our computing power and physics equations to their limits.

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.

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.

Reusable rockets have cut costs, but they still require significant repair and inspection after each landing. True rapid reusability, like an airplane, would make space travel dramatically cheaper.

We've confirmed thousands of exoplanets, but identifying which ones could truly support life requires data we mostly don't have yet. A clearer count would refocus the search for life beyond Earth.

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.

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.

This conjecture about the zeros of a specific complex function would, if proven, tighten our understanding of how primes are distributed among all integers. It's considered one of the most important unsolved problems in mathematics.

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.

This difficulty is exactly what keeps most modern encryption secure, since multiplying primes together is easy but reversing the process is not. If an efficient method were found, it could upend the security of the internet as we know it.

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.