What Is the Linear Form of the Lorentz Transformation Equation?

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The linear form of the Lorentz transformation equations for a Lorentz boost in the x-direction is given as x' = g(x - vt) and t' = g(t - vx), where g = sqrt(1 - v²) in units where c = 1. The discussion emphasizes the need for a straightforward presentation of the equations without complications. It also notes that additional directions and rotations can be incorporated to derive the complete Lorentz transformations. Furthermore, translations can be added to achieve inhomogeneous Lorentz transformations, also referred to as Poincaré transformations. These equations are fundamental in understanding the effects of relative motion in the theory of relativity.
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can anybody give me just equation of the transformation in a linear form ? without any complications just the equation of Lt. 10x
 
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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.
 

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In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...
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