{ "ai.module": "electromagnetism.rtt2", "ai.version": "1.0", "ai.purpose": "RTT/2 engine layer for Electromagnetism: resonance mapping, stabilizers, field interactions, and cross-module propagation.", "ai.keywords": [ "electromagnetism", "resonance", "field theory", "stabilizers", "coherence", "rtt2" ], "engine": { "layer": "RTT/2", "description": "Integrates Electromagnetism into the RTT resonance substrate, exposing stabilizers, field interactions, and cross-module propagation patterns." }, "resonance": { "patterns": [ { "name": "coupled_field_resonance", "description": "Electric and magnetic fields form a stable resonance pair; oscillation in one induces oscillation in the other." }, { "name": "wave_resonance", "description": "Propagation of EM waves as resonance cycles constrained by substrate invariants." }, { "name": "boundary_resonance", "description": "Field behavior shaped by interfaces, discontinuities, and medium transitions." } ], "failure_modes": [ "loss_of_field_coupling", "dispersion-induced decoherence", "medium-induced resonance collapse" ] }, "stabilizers": { "primary": [ { "name": "substrate_invariants", "description": "Underlying constraints that maintain constant propagation speed and field coupling." }, { "name": "energy_distribution", "description": "Energy flow patterns that stabilize wave propagation and prevent divergence." } ], "secondary": [ { "name": "medium_properties", "description": "Permittivity and permeability shape resonance behavior in non-vacuum environments." } ] }, "field_interactions": { "types": [ "charge_field_interaction", "current_field_interaction", "field_field_coupling" ], "signals": [ "induction", "flux_variation", "resonance_transfer" ] }, "propagation": { "cross_module": [ { "module": "quantum_mechanics.rtt2", "interaction": "Projection effects at small scales modify field coherence." }, { "module": "information_theory.rtt2", "interaction": "Entropy bounds define limits on field stability and signal propagation." }, { "module": "thermodynamics.rtt2", "interaction": "Energy flow and dissipation influence resonance stability." } ], "notes": "EM propagation in RTT/2 is treated as resonance behavior shaped by substrate invariants, not as fundamental field ontology." }, "dimensional_behavior": { "R1": "Field behavior collapses to charge interactions; resonance coupling not sustained.", "R2": "Partial field behavior; projection effects distort resonance patterns.", "R3": "Full Maxwellian coherence; stable resonance propagation and field coupling." }, "coherence": { "markers": [ "stable E↔B coupling", "constant propagation speed in vacuum", "resonance persistence across cycles", "predictable boundary behavior" ], "instability_signals": [ "loss of coupling", "medium-induced decoherence", "dispersion", "quantum-scale breakdown" ] } }