Limits RegistryPUBLIC RECORDLimits RegistryPUBLIC RECORDLimits RegistryPUBLIC RECORDLimits RegistryYang–Mills theory underlies the Standard Model's description of the strong nuclear force, and its predictions have been repeatedly confirmed in particle accelerators. Physicists have observed empirically that the theory's particles behave as if they have positive mass (a 'mass gap'), even though the classical fields it's built from travel at the speed of light — but no one has constructed the theory with full mathematical rigor or proven the mass gap exists.
The question, scope, and sources behind this Registry record.
For any compact simple gauge group G, prove that a non-trivial quantum Yang–Mills theory exists on R⁴ and has a mass gap Δ > 0.
Change a parameter to stress-test whether a proposed result is still inside the published specification. This is an audit aid, not a proof checker.
This record has no editable parameters. Read the formal question and assumptions before challenging it.
Current frontiers derived from accepted Claims.
The frontier is not sacred
Most progress starts with a disagreement that survives contact with evidence. If you can push the known lower bound up or pull the upper bound down, show us the work.
≥ when you have shown that at least this value is achievable.≤ when you have shown that anything above this value is impossible.No vibes. State the value, define the scope, and link the paper, proof, code, or reproduction that lets another person check it. Editors review every challenge before the public record changes.
Challenge this recordAssertions tied to evidence, attribution, and review.
No accepted Claims are recorded for this Limit yet.
The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.