Lorentz Factor

Also known as gamma factor · relativistic factor

γ=11β2\gamma = \frac{1}{\sqrt{1 - \beta^{2}}}

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Everything strange about special relativity funnels through this one factor: moving clocks run slow by γ, moving rulers shrink by γ, moving masses carry γ times the momentum. It hugs 1 stubbornly — at half the speed of light γ is only 1.155 — then explodes near β = 1: γ = 7 at 99% of c, γ ≈ 7000 for protons in the LHC. That stubbornness near ordinary speeds is why nobody noticed relativity for three centuries of careful mechanics.

Lorentz Factor
γ=11β2\gamma = \frac{1}{\sqrt{1 - \beta^{2}}}
Where
  • γ\gamma= Lorentz factor
  • β\beta= Speed ratio v/c
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