Semantic Systems as Thermodynamic Processes

Framework: Semantic field dynamics follow thermodynamic principles. Core Equations: - Semantic entropy density: ρsem = σsemkBT ln(2) - Semantic energy: dEsem = T dS −µ dN + Φ dα - Coherence flux: fcoh = −∇·(κsem∇α) - Phase coupling: ωmicro = 5ωmeso = 20ωmacro - Information uncertainty: ∆CS·∆I = ℏS - Critical frequency: ωsem > ωcritical = µC Key Insights: 1. Meaning is measurable thermodynamic quantity (semantic entropy) 2. Coherence emerges from semantic pressure gradients 3. Multi-scale oscillations lock phases hierarchically (5:1 and 20:1 ratios) 4. Information has quantum-like uncertainty bounds 5. Semantic systems exhibit phase transitions at critical frequencies Thermodynamic Laws Applied: - First law: Energy conservation in semantic space - Second law: Semantic entropy increases unless coherence maintained - Phase transitions: Ordered (high coherence) ↔ Disordered (low coherence) Connections: - Quantum ache measurement (uncertainty relations) - Consciousness field structuring (coherence emergence) - Semantic qubits (quantum-semantic isomorphism) - Trust verification (<50ms latency = high coherence state)