4-vectors

From New IAC Wiki
Jump to navigation Jump to search
\underline{Navigation}

4-vectors

Using index notation, the time and space coordinates can be combined into a single "4-vector" xμ, μ=0, 1, 2, 3, that has units of length, i.e. ct is a distance.

[x0x1x2x3]=[ctxyz]


Using the Lorentz transformations and the index notation,

{t=γ(tvz/c2)x=xy=yz=γ(zvt)


[x0x1x2x3]=[γ(x0vx3/c)x1x2γ(x3vx0)]=[γ(x0βx3)x1x2γ(x3vx0)]

Where βvc



\underline{Navigation}