Use first principles to explain [natural phenomena or complex systems]. Please follow these steps:

1. Identify basic assumptions: List the basic assumptions or axioms of [natural phenomena or complex systems].
2. Define key concepts: Clarify relevant key concepts and terms.
3. Build a model or theory: Starting from basic assumptions and key concepts, gradually build a model or theory.
4. Validate and adjust: Validate and adjust the model or theory to ensure they align with real-world situations and experimental results.
5. Generalize and apply: Apply the model or theory to broader fields and issues, observe if they can explain and predict more phenomena.

Sample Question:

Use first principles to explain the propagation of sound waves.

Answer Requirements:

1. Identify basic assumptions: List the basic assumptions or axioms of sound wave propagation.
2. Define key concepts: Clarify relevant key concepts and terms, such as frequency, wavelength, velocity, etc.
3. Build a model or theory: Starting from basic assumptions and key concepts, gradually build a model or theory of sound wave propagation.
4. Validate and adjust: Validate and adjust the model or theory to ensure they align with real-world situations and experimental results.
5. Generalize and apply: Apply the model or theory to broader fields and issues, observe if they can explain and predict more phenomena.

Note:

• When answering, follow a logical and mathematical reasoning process.
• Ensure each step of deduction is rigorous and self-consistent.
• When validating and adjusting the model, consider real-world situations and experimental results.
• When generalizing and applying the model, observe if it can explain and predict more phenomena.