What Is the Linear Form of the Lorentz Transformation Equation?

[darkness_limits]

can anybody give me just equation of the transformation in a linear form ? without any complications just the equation of Lt. 10x

 

[Ich]

Lorentz-Boost in x-direction:
x'=g(x-vt)
t'=g(t-vx)
g=sqrt(1-v²)
in units where c=1.

You can add different directions and rotations to obtain the full Lorentz-Transformations, and translations to obtain inhomogenous LT, sometimes called Poincaré Transformations.

 

[Entropia]

The Lorentz transformation is a set of equations that describe how measurements of space and time are affected by the relative motion between two frames of reference. The linear form of the Lorentz transformation is given by the following equation:

x' = γ(x - vt)

where x' is the position in the moving frame, x is the position in the stationary frame, v is the relative velocity between the two frames, and γ is the Lorentz factor given by γ = 1/√(1 - v^2/c^2), where c is the speed of light.

This equation shows how the position in the moving frame, x', is related to the position in the stationary frame, x. It takes into account the effects of time dilation and length contraction due to the relative motion between the frames.

I hope this helps to answer your question in a simple and concise manner. If you have any further questions, please do not hesitate to ask.