{ "ai.module": "thermodynamics.rtt1", "ai.version": "1.0", "ai.purpose": "RTT/1 engine layer for Thermodynamics: operator grammar for temperature, entropy, free energy, equilibrium, and coherence under constraint.", "ai.keywords": [ "thermodynamics", "temperature", "entropy", "free energy", "equilibrium", "heat flow", "substrate force", "rtt1" ], "engine": { "layer": "RTT/1", "description": "Defines the operator grammar and dimensional behavior of temperature, entropy, free energy, and equilibrium within the RTT substrate." }, "operators": { "core": { "temperature_operator": { "type": "substrate_force", "description": "Drives motion, structure, and regime behavior; defines energy distribution.", "signals": ["thermal_gradient", "energy_density"] }, "entropy_operator": { "type": "boundary_operator", "description": "Defines coherence limits and regime transitions; measures accessible configurations.", "signals": ["state_space_volume", "coherence_boundary"] }, "free_energy_operator": { "type": "coherence_driver", "description": "Determines whether systems move toward structure or dispersion.", "signals": ["available_work", "coherence_potential"] }, "equilibrium_operator": { "type": "distinction_operator", "description": "Defines stable configurations where flows and gradients vanish.", "signals": ["steady_state", "gradient_collapse"] }, "heat_flow_operator": { "type": "gradient_operator", "description": "Describes energy flow driven by temperature differences.", "signals": ["flux", "conductivity"] } }, "supporting": { "partition_function": { "type": "state_space_operator", "description": "Encodes the weighted structure of all accessible states." }, "state_space_volume": { "type": "configuration_operator", "description": "Measures the number of accessible microstates." }, "gradient_operator": { "type": "flow_operator", "description": "Defines directional change in temperature, pressure, or potential." }, "dissipation_operator": { "type": "loss_operator", "description": "Represents irreversible processes that increase entropy." } } }, "dimensional_mapping": { "R1": "Thermodynamics collapses; temperature undefined; coherence dominated by quantum behavior.", "R2": "Local equilibrium; stable gradients; predictable free energy flow.", "R3": "Large-scale structure; dissipation; stable thermodynamic cycles.", "R4": "Cosmological thermodynamics; horizon behavior; expansion-driven gradients." }, "coherence": { "markers": [ "energy conservation", "monotonic entropy behavior", "free energy minimization", "predictable equilibrium structure" ], "instability_signals": [ "runaway dissipation", "entropy collapse", "non-equilibrium instability", "gradient amplification" ] }, "examples": { "minimal": [ { "name": "Heat Flow Across a Gradient", "demonstrates": ["temperature_operator", "heat_flow_operator"] }, { "name": "Entropy Increase in Expansion", "demonstrates": ["entropy_operator", "dissipation_operator"] }, { "name": "Free Energy Minimization", "demonstrates": ["free_energy_operator"] } ] }, "integration": { "cross_module": [ "statistical_mechanics.rtt1", "information_theory.rtt1", "quantum_mechanics.rtt1", "cosmology.rtt1" ], "notes": "RTT/1 treats Thermodynamics as a substrate grammar; deeper resonance and multi-regime integration occur in RTT/2 and RTT/3." } }