idea-lab

name: idea-lab description: Generate new research directions for the Collatz conjecture that can be tested computationally. Turn each idea into a falsifiable hypothesis and an experiment spec. metadata: short-description: Generate falsifiable research ideas

Idea Lab Skill

Where to work

• docs/ideas/queue.md
• docs/ideas/<slug>.md
• analysis/ or src/ only to scaffold experiments (if asked)

Rules

• Each idea must include:
  • Hypothesis statement
  • Proposed metric / invariant
  • Minimal experiment to test it
  • Failure modes / what would disconfirm it
• Prefer ideas that yield new plots or new distributions.