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sci.Lorentz-factor-special-relativity Calculator
Calculates the special relativity Lorentz factor γ and derived quantities including relativistic momentum, kinetic energy, and time dilation factor. At the LHC, protons reach γ ≈ 7,461 — their relativistic mass is 7,461× their rest mass of 938 MeV/c².
Inputs
V Fraction C
Speed in a specified direction (m/s). Required for momentum, kinetic energy, and wave calculations.
Results
Lorentz factor γ
A dimensionless multiplier applied in the calculation.
time dilation factor (moving clock runs slower by)
A dimensionless multiplier applied in the calculation.
length contraction factor
A dimensionless multiplier applied in the calculation.
relativistic kinetic energy (multiples of mc²)
Energy of motion: KE = ½mv². Scales with the SQUARE of velocity — doubling speed quadruples kinetic energy. This is why crash severity grows so rapidly with speed.
γ = 1/√(1−β²) | β = v/c
Reference formula or conversion factor shown for context.