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58 calculators. 22 visualisations powered by real physics. Unique presets and notation. Information sections with formulae and full glossary. Advanced metrics covering mergers, gravitational waves, white holes, Planck stars, exotic physics, cosmology and more! 50 decimal places as standard, up to 160 for velocities.

Blackholecalc.com — your Hawking radiation thermometer!

Blackholecalc.com — your ultra-relativistic explorer.

Special Relativity

The speed of light is constant for ALL observers. The consequences are amazing!

Understanding the fundamental effects of motion at high velocities near the speed of light

Special Relativity Length Contraction Calculator

Calculate how lengths and distances contract in the direction of motion at high velocities

Length Contraction Parameters

Input supports up to 125 decimal places for ultra-relativistic exploration
0.99999999 (LHC) = γ ≈ 7,071 | Now supports up to γ ≈ 10⁶²!
💡 Shorthand: Use "0.9r50" for 50 nines, "0.9r125" for 125 nines, etc.

The length measured in the object's rest frame

Results

Enter velocity and proper length to calculate relativistic contraction

Real-World Length Contraction Examples

Click an example to populate the calculator and press calculate button

Fantasy Length Contraction Scenarios

Click an example to populate the calculator and press calculate button

Explore extreme scales and demonstrate comprehensive distance units

⚠️ Educational Examples Only

These scenarios are mathematically valid under special relativity but physically impossible with current or foreseeable technology. The kinetic energy required for extreme velocities would exceed the mass-energy of multiple galaxies. These examples demonstrate the mathematical limits of relativistic physics for educational purposes.

Length Contraction Formula
Formula
L = L₀ / γ
γ = 1 / √(1 - v²/c²)
Variables

L: Contracted length (observed)

L₀: Proper length (rest frame)

γ: Lorentz factor

v: Velocity of object

c: Speed of light

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See It In Action!

Explore length contraction with our interactive visualizations!

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