# FAQ — Electromagnetism  
### TriadicFrameworks /docs/theories/electromagnetism/faq.md

Electromagnetism (EM) in TriadicFrameworks is a **field‑coherence
theory**, not a force‑centric mechanism and not a particle‑first
narrative.

EM = **coherent behavior of the electromagnetic field**.  
Maxwell operators = **structural constraints**, not force laws.  
Light = **self‑consistent field propagation**.

This FAQ answers common questions in a zero‑drift, operator‑first way.

---

## ❓ What is Electromagnetism in this module?

Electromagnetism is a **coherent field system** governed by:

- divergence operators (∇·E, ∇·B)  
- curl operators (∇×E, ∇×B)  
- charge/current as source operators  
- propagation as self‑consistent field evolution  

EM is not:

- force‑centric  
- particle‑first  
- action‑at‑a‑distance  
- teleological  

---

## ❓ What are E and B?

E and B are **primary field objects**.

They are:

- continuous  
- geometric  
- local  
- coherence‑constrained  

They are not:

- forces  
- particle streams  
- mechanical effects  

---

## ❓ What is charge?

Charge is a **divergence‑source operator**.

It modifies:

- ∇·E = ρ/ε₀  

Charge is not:

- a particle property  
- a mechanical “push”  
- an action‑at‑a‑distance agent  

---

## ❓ What is current?

Current is a **curl‑source operator**.

It modifies:

- ∇×B = μ₀J + μ₀ε₀∂E/∂t  

Current is not:

- a flow of particles  
- a mechanical stream  
- a force generator  

---

## ❓ What is light?

Light is **self‑coherent field propagation**.

It emerges from:

- ∇×E = −∂B/∂t  
- ∇×B = μ₀J + μ₀ε₀∂E/∂t  

Light is not:

- a particle beam  
- a wave in a medium  
- a force carrier in classical EM  

---

## ❓ What are Maxwell’s equations here?

They are **operators**, not laws:

- 𝓓ᴱ — electric divergence  
- 𝓓ᴮ — magnetic divergence  
- 𝓒ᴱ — electric curl  
- 𝓒ᴮ — magnetic curl  

They encode:

- divergence consistency  
- curl consistency  
- propagation stability  

---

## ❓ What does “coherence” mean in EM?

Coherence = **structural consistency** of the field.

It requires:

- divergence validity  
- curl validity  
- propagation stability  
- geometric compatibility  

Coherence is not:

- probability  
- entropy  
- force balance  

---

## ❓ What are the EM regimes?

Electromagnetism operates across:

### **R1 — Classical Field Stability**  
Static + quasi‑static fields.

### **R2 — Dynamic Field Propagation**  
Full Maxwell dynamics; waves.

### **R3 — Geometry‑Coupled, Multi‑Scale EM**  
Relativistic + quantum‑compatible field behavior.

---

## ❓ What causes EM collapse?

Collapse occurs when coherence fails:

- **EM1:** divergence collapse  
- **EM2:** curl collapse  
- **EM3:** propagation collapse  
- **EM4:** source collapse  
- **EM5:** geometry collapse  

Collapse is structural, not force‑based.

---

## ❓ How do I “run” this module as a student?

Use the operators:

- **𝓓ᴱ** — electric divergence  
- **𝓓ᴮ** — magnetic divergence  
- **𝓒ᴱ** — electric curl  
- **𝓒ᴮ** — magnetic curl  
- **𝓢ᶜʰ** — charge source  
- **𝓢ᶜᵘʳ** — current source  
- **𝓦** — propagation  
- **𝓕** — field tensor  
- **𝓒ₒₕ** — coherence  
- **𝓡𝓮𝓰** — regime transitions  
- **𝓒𝓁** — collapse modes  

Electromagnetism = **coherent field behavior**, not force.

---

## Summary

Electromagnetism here is:

- **field‑first**  
- **operator‑driven**  
- **coherence‑based**  
- **geometry‑compatible**  
- **regime‑aware**  
- **zero drift**

EM = **coherent field behavior**.  
Light = **self‑consistent field propagation**.  
Physics = **operator‑driven coherence systems**.