🔬

Case Study: Success Through Peer Correction

Graduate-level physics question from GPQA-Diamond benchmark

🌌 The Problem

A quasar shows a peak at 790 nm wavelength. Given Lambda-CDM cosmological parameters (H₀ = 70 km/s/Mpc, Ωₘ = 0.3, ΩΛ = 0.7), what is the comoving distance?

Options: A) 8 Gpc B) 7 Gpc C) 6 Gpc D) 9 Gpc

🎯 Final Result

✅
Correct Answer: A (8 Gpc)
Orchestration succeeded where individual agents initially failed

🤖 Initial Answers

Agent 1: "I calculate ~6 Gpc → Answer C"
Agent 2: "I get ~8.95 Gpc → Answer D"
Agent 3: "~6.1 Gpc → Answer C"

🔄 Self-Correction Process

Agent 1 observes: "There is significant discrepancy in calculations: Agent1 gets ~6.1 Gpc, Agent2 gets ~8.95 Gpc. Let me re-examine..."

✨ Breakthrough Moment

Agent 1 revises: "Standard cosmological calculators yield 8000-8500 Mpc for z=5.5. This equals 8.0-8.5 Gpc, closest to option A."

Result: 3/4 agents converge on correct answer
💡 Success Mechanism:
Peer observation → Discrepancy detection → Self-correction → Consensus