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.

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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

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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

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Assets & Dependencies

• Fonts: LaTeX / sans-serif
• Manim version: ManimCE 0.19.1

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Notes

• University level
• Use v = 0.8c for demonstrations
• γ graph shows rapid increase near v = c