Special Relativity Effects
Interactive simulation of time dilation, length contraction, and relativistic physics
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Relativity Formulas
γ = 1/√(1 - v²/c²)
L = L₀/γ (Length Contraction)
Δt = γΔt₀ (Time Dilation)
Lorentz Factor (γ): 1.00
Contracted Length: 10.00 m
Dilated Time: 1.00 s
Relativistic Momentum: 0.00 mc
Contracted Length: 10.00 m
Dilated Time: 1.00 s
Relativistic Momentum: 0.00 mc
Relativistic Effects
Classical → Relativistic
Length Contraction: 0%
Time Dilation: 0%
Time Dilation: 0%
Reference Frames
Stationary Frame Moving Frame
Stationary Frame Moving Frame
Twin Paradox
Stationary Age: 20.0 years
Traveler Age: 20.0 years
Stationary Age: 20.0 years
Traveler Age: 20.0 years
Light Cone Visualization
Spacetime Geometry
Special relativity reveals that space and time are interconnected in a four-dimensional spacetime fabric. Moving observers measure different lengths, times, and even the order of events depending on their relative motion.
Time Dilation
Moving clocks run slower relative to stationary ones. GPS satellites must account for this effect.
Length Contraction
Objects appear shorter in the direction of motion when moving at relativistic speeds.
Relativity of Simultaneity
Events that are simultaneous in one frame may not be simultaneous in another moving frame.
Relativistic Phenomena
Twin Paradox
Traveling twin ages slower due to time dilation during acceleration phases.
Lorentz Transformation
Mathematical framework connecting space and time coordinates between frames.
Mass-Energy Equivalence
E = mc² - energy and mass are different forms of the same thing.
Relativistic Optics
Light aberration and Doppler shifts at relativistic speeds.
The Postulates of Special Relativity
Principle of Relativity
The laws of physics are the same in all inertial reference frames. No experiment can detect absolute motion.
Constancy of Light Speed
The speed of light in vacuum is the same for all observers, regardless of their motion or the motion of the light source.
