Special Relativity
対象: Universityカテゴリ: Physics
説明
Time dilation is demonstrated by two clocks — one stationary, one moving at high speed. The moving clock ticks slower. Length contraction shows a ruler shrinking along the direction of motion. The Lorentz factor γ diverges as v approaches c.
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Special Relativity
Description
Time dilation is demonstrated by two clocks — one stationary, one moving at high speed. The moving clock ticks slower. Length contraction shows a ruler shrinking along the direction of motion. The Lorentz factor γ diverges as v approaches c.
Phases
| # | Phase Name | Duration | Description |
|---|---|---|---|
| 1 | Time Dilation Setup | 2s | Two clocks appear, v/c label shown |
| 2 | Clock Comparison | 4s | Stationary clock ticks faster; moving clock slower |
| 3 | Time Dilation Formula | 2s | Δt' = Δt / √(1 - v²/c²) displayed |
| 4 | Length Contraction | 3s | Ruler contracts in motion direction |
| 5 | Lorentz Factor | 2.5s | γ(v) graph showing divergence at v=c |
Layout
+--------------------------------------------------+
| Special Relativity |
| |
| [Stationary clock] tick tick tick tick |
| [Moving clock →→→] tick tick |
| |
| Δt' = Δt / √(1 - v²/c²) |
| |
| [Ruler normal] ←—————→ |
| [Ruler moving] ←——→ (contracted) |
| |
| γ graph: → ∞ as v→c |
+--------------------------------------------------+
Area Descriptions
- Top: clock comparison
- Middle: formulas
- Lower left: length contraction
- Lower right: γ graph
Assets & Dependencies
- Fonts: LaTeX / sans-serif
- Manim version: ManimCE 0.19.1
Notes
- University level
- Use v = 0.8c for demonstrations
- γ graph shows rapid increase near v = c