Limits RegistryPUBLIC RECORD
Limits RegistryThe maximum independent intensive variables for a nonreacting equilibrium system are F = C − P + 2.
The question, scope, and sources behind this Registry record.
The maximum independent intensive variables for a nonreacting equilibrium system are F = C − P + 2.
Count independent intensive variables for C components and P coexisting phases at equilibrium.
The maximum independent intensive variables for a nonreacting equilibrium system are F = C − P + 2.
phase rule — Gibbs phase-rule degrees of freedomChange a parameter to stress-test whether a proposed result is still inside the published specification. This is an audit aid, not a proof checker.
Current frontiers derived from accepted Claims.
The accepted equality closes this optimization result.
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.
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.
limitsregistry.com/limits/LR-004103No active verified bounties are linked to this Limit.
View verified bounty tracker ↗No accepted machine-checked reproductions are recorded for this Limit.
Limits Registry. LR-004103. Gibbs phase-rule degrees of freedom. 2026.