Conceptual Physics Model

Copper Trace: 1-Electron-Wide Pipe

Visualizing the 4-4-3 model: 4 electrons above + 4 below compress a 3-electron conductive path through an infinitely wide copper trace

Cross-Section Simulation
Top Confinement Electrons (4)
Bottom Confinement Electrons (4)
Conductive Path Electrons (3)
Copper Lattice Boundary
System Metrics
Current Flow 0.00 A
Confinement Pressure 0%
11
Total Electrons
0.0V
Applied Voltage
Cu-29
3d¹⁰ 4s¹
Idle
Pipe State
Key Concept

In this simplified model, a copper PCB trace acts as an infinite-width plane but with 1-electron-width confinement vertically. When 4+4 electrons compress from above/below, they stabilize a 3-electron channel that can carry current. Total: 8 + 3 = 11, matching copper's valence picture.

### README.md — 4-4-3 Copper Conduction Model ### Overview This simulation demonstrates a conceptual model for electron transport in a copper motherboard trace. We visualize the trace cross-section as a "1-electron-wide pipe" extending infinitely to the right. ### The 4-4-3 Model 1. **4 Top Electrons (Red)**: Represent confinement forces pressing downward from the copper lattice above the conduction channel. 2. **4 Bottom Electrons (Blue)**: Represent confinement forces pressing upward from the copper lattice below. 3. **3 Center Electrons (Yellow)**: The actual mobile charge carriers forming the conductive path. **Total: 4 + 4 + 3 = 11 electrons**, which conceptually aligns with copper's electron configuration considerations. Real Cu is [Ar] 3d¹⁰ 4s¹ with Z=29, having 1 conduction electron per atom in metallic bond. ### Physics Concept In bulk copper, overlapping 4s orbitals create a conduction band. Here we abstract this: - The copper trace is modeled as having infinite extent in +X (rightward) but constrained vertically. - When voltage is applied, the 4+4 confinement electrons create a quantum well effect. - Balanced pressure (4 up + 4 down = 8) stabilizes the center channel. - The 3 center electrons are now free to drift rightward as current. ### How to Use 1. Click **"Apply Voltage"** to energize the system. Confinement electrons will compress inward. 2. Watch the center path electrons accelerate rightward once pressure ≥ 100%. 3. **"Current meter"** shows relative flow rate based on electron velocity. 4. **"Reset"** returns all electrons to equilibrium positions. 5. **"Pause"** freezes the simulation for inspection. ### Notes & Disclaimers - This is a **teaching visualization**, not a quantum mechanical simulation. Real electron behavior involves wavefunctions, Fermi surfaces, and phonon scattering. - The "1-electron-wide pipe" is a conceptual abstraction for educational purposes. - Actual PCB traces are many atoms thick. Conduction involves millions of delocalized electrons. - No actual SPICE models or quantum tunneling calculations are performed here. ### Technical Implementation - Pure Vanilla JS + Canvas2D. No dependencies. - Electron positions updated via simple force integration. - Responsive canvas with density-aware rendering. - 60fps animation loop with deltaTime for smooth motion.