AI VS HARDEST Physics Olympiad

Introduction

This tutorial explores how AI, specifically ChatGPT, attempts to solve a challenging question from the International Physics Olympiad regarding black holes. We will break down the process into actionable steps, allowing you to understand how dimensional analysis and complex physics problems can be approached using AI tools.

Step 1: Understand the Olympiad Question

• Access the 2007 Physics Olympiad question on black holes from the provided link: 2007 Question PDF.
• Familiarize yourself with the concepts involved in the question, particularly focusing on black holes and Hawking radiation.
• Review the mark scheme to understand how answers are evaluated: Mark Scheme PDF.

Step 2: Perform Dimensional Analysis

• Begin by identifying the physical quantities involved in the problem.
• Use dimensional analysis to check the consistency of equations and to derive relationships between different physical parameters.
  • For instance, if you have a formula involving mass, time, and distance, ensure that the dimensions on both sides of the equation match.
• This step will help simplify the problem and provide insights into the relationships between variables.

Step 3: Introduce ChatGPT to the Problem

• Start by teaching ChatGPT the necessary physics concepts relevant to the problem.
• Input basic definitions and principles related to black holes and Hawking radiation to provide context.
• Clarify the problem statement step-by-step to ensure that the AI understands the question thoroughly.

Step 4: Pose the Hard Physics Problem

• Once the AI is acquainted with the relevant concepts, present the specific Olympiad question.
• Ensure that the problem is stated clearly and concisely.
• Monitor the AI's response and gauge its understanding of the complex concepts at play.

Step 5: Analyze the AI's Approach to Deriving Hawking Radiation

• Review how ChatGPT attempts to derive Hawking radiation based on the information provided.
• Look for key steps in the derivation process, such as:
  • The role of quantum mechanics near the event horizon of black holes.
  • The concept of particle-antiparticle pairs and how they relate to black hole thermodynamics.
• Evaluate the accuracy and completeness of the AI's response against established physics principles.

Conclusion

In this tutorial, we examined how AI can tackle advanced physics problems like those found in the International Physics Olympiad. By breaking down the process into clear steps—understanding the question, performing dimensional analysis, teaching the AI, and analyzing its responses—we can effectively leverage AI tools to assist in complex problem-solving. As a next step, consider experimenting with different physics problems using AI to deepen your understanding and enhance your problem-solving skills.