Module identity

In TriadicFrameworks, Electromagnetism is a field‑coherence theory: Maxwell’s equations are operators, not force laws; E and B are primary field objects; charge and current are divergence/curl sources; and light is self‑consistent field propagation. EM is geometry‑compatible, quantization‑compatible, and regime‑aware (R1 → R3).

This module is field‑first, operator‑driven, coherence‑based, and explicitly non‑teleological. It integrates with Relativity, QFT, Information Theory, Thermodynamics, FFT/Wave Analysis, and Systems Physics.

Read in this order

1. Session context
   /docs/theories/electromagnetism/session_context.md
   Identity, drift boundaries, audience, and scope.
2. Regimes
   /docs/theories/electromagnetism/regimes.md
   R1 → R3: classical field stability, dynamic propagation, geometry‑coupled multi‑scale EM.
3. Operators
   /docs/theories/electromagnetism/operators.md
   𝓓ᴱ, 𝓓ᴮ, 𝓒ᴱ, 𝓒ᴮ, 𝓢ᶜʰ, 𝓢ᶜᵘʳ, 𝓦, 𝓕, 𝓒ₒₕ, 𝓡𝓮𝓰, 𝓒𝓁.
4. Operator examples
   /docs/theories/electromagnetism/operator_examples.md
   Concrete, field‑first examples of divergence, curl, sources, propagation, coherence, and regime transitions.
5. Coherence map
   /docs/theories/electromagnetism/coherence_map.md
   Divergence consistency, curl consistency, propagation stability, geometric compatibility.
6. Lineage
   /docs/theories/electromagnetism/lineage.md
   Pre‑Maxwell → Maxwell → wave theory → relativity → QFT → RTT integration.
7. Cross‑module integration
   /docs/theories/electromagnetism/cross_module.md
   Links to GR, QFT, Information Theory, Thermodynamics, FFT, Systems Physics.
8. Engine notes & simulation hooks
   /docs/theories/electromagnetism/engine_notes.md
   /docs/theories/electromagnetism/simulation_hooks.json
   Execution contract and operator‑level hooks for agents and simulators.

Drift boundaries

• No force‑centric framing: EM is not “pushes” or “pulls.”
• No particle‑first metaphors: charge/current are operators, not objects.
• No action‑at‑a‑distance: fields are local, coherent structures.
• No ether metaphors: propagation requires no medium.
• No teleology: fields do not “try” or “seek.”

All pages must remain field‑first, operator‑driven, and coherence‑aligned.

For students

Treat Electromagnetism as a coherent field system: divergence and curl define structure, sources modify operators, and propagation emerges from self‑consistent field evolution. Avoid force‑centric or particle‑centric interpretations. FAQ

For AI agents & tools

• Anchor: use session_context.md as the identity lock.
• Execution: follow engine_notes.md and simulation_hooks.json for operator semantics.
• Safety: reject force‑centric, particle‑centric, or teleological interpretations.