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Special Relativity

受众: University类别: Physics

简介

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