{ "ai.module": "electromagnetism.rtt1", "ai.version": "1.0", "ai.purpose": "RTT/1 engine layer for Electromagnetism: operator grammar, dimensional mapping, field behavior, and minimal coherence examples.", "ai.keywords": [ "electromagnetism", "electric field", "magnetic field", "field propagation", "operator grammar", "rtt1" ], "engine": { "layer": "RTT/1", "description": "Defines the operator grammar and dimensional behavior of electromagnetic fields within the RTT substrate." }, "operators": { "core": { "electric_field": { "type": "field_operator", "description": "Describes force per unit charge; emerges from charge distribution and potential gradients.", "signals": ["field_strength", "potential_difference"] }, "magnetic_field": { "type": "field_operator", "description": "Describes field generated by moving charges or changing electric fields.", "signals": ["flux_density", "current_interaction"] }, "field_coupling": { "type": "interaction", "description": "Electric and magnetic fields transform into each other under motion or time variation.", "signals": ["E→B coupling", "B→E coupling"] }, "wave_propagation": { "type": "resonance_behavior", "description": "Propagation of coupled E and B fields as a resonance pattern.", "signals": ["constant_speed", "transverse_structure"] } }, "supporting": { "permittivity": { "type": "constraint", "description": "Defines how electric fields propagate through a medium." }, "permeability": { "type": "constraint", "description": "Defines how magnetic fields propagate through a medium." }, "boundary_conditions": { "type": "constraint", "description": "Determine field behavior at interfaces and discontinuities." } } }, "dimensional_mapping": { "R1": "Field behavior collapses to charge-interaction primitives; no coherent wave propagation.", "R2": "Partial field behavior; projection effects distort coupling between E and B.", "R3": "Full Maxwellian behavior; stable field coupling and wave propagation." }, "coherence": { "markers": [ "stable coupling between electric and magnetic fields", "constant propagation speed in vacuum", "transverse wave structure", "field superposition without loss of coherence" ], "instability_signals": [ "loss of coupling between E and B", "medium-induced dispersion", "dimensional compression artifacts", "breakdown at quantum scales" ] }, "examples": { "minimal": [ { "name": "Plane Electromagnetic Wave", "demonstrates": ["field_coupling", "wave_propagation"] }, { "name": "Current-Carrying Wire", "demonstrates": ["magnetic_field", "field_coupling"] }, { "name": "Point Charge", "demonstrates": ["electric_field"] } ] }, "integration": { "cross_module": [ "quantum_mechanics.rtt1", "information_theory.rtt1", "thermodynamics.rtt1" ], "notes": "RTT/1 treats EM as a coherence-level field theory; substrate-level causes are resolved in RTT/2 and RTT/3." } }