Quantum Thermodynamics – Equations & Interpretations

🔥 Classical Entropy (Shannon)#

[ S = -\sum_i p_i \log_2 p_i ]

• pᵢ: probability of microstate i
• Measures informational disorder

⚛️ Quantum Entropy (von Neumann)#

[ S = -\text{Tr}(\rho \log_2 \rho) ]

• ρ: density matrix of quantum system
• Captures entanglement and decoherence

🌡️ Temperature Gradient#

[ \Delta T = T_{\text{hot}} - T_{\text{cold}} ]

• Drives entropy flux and energy redistribution

🧠 Triadic Interpretation#

• Object: Microstate configuration
• Attribute: Temperature gradient
• Condition: Entropy flux

🎭 Mythic Echo#

“Entropy is the rhythm of change, not the end of order.”
— Nawder Loswin