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Lorentz transformations
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Relate coordinates between inertial frames.
x' = γ(x−vt)x' = γ(x − vt), t' = γ(t − vx/c²) connect coordinates in two frames, reducing to Galilean transformations at low speed. They keep the interval invariant.
At low speeds γ ≈ 1 and vx/c² ≈ 0.
Events, not objects, transform.
In more detail
Lorentz transformations relate coordinates and times between frames moving at constant relative velocity. They reduce to Galilean transformations at low speeds.
Real-world uses
- Relativistic calculations in particle physics use Lorentz transformations.
- They underpin the structure of spacetime in modern physics.
- Physicists transform measurements between a laboratory frame and a moving particle's frame using the Lorentz transformations.
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Frequently asked questions
How do they differ from Galilean?
They mix space and time, while Galilean transformations keep time absolute.
What happens at low speed?
They reduce to the Galilean transformations, which is why Newtonian physics works for everyday speeds.
How do Lorentz transformations differ from Galilean ones?
They mix space and time, so the time coordinate changes with the velocity, which the Galilean rule does not allow.
Related topics in Relativity
Time dilation · Length contraction · Lorentz factor · Velocity addition · Muon decay evidence · Twin paradox