q2 show that the quantity s2 ct x2 is an invariant under lorentz transformations in other words show that ct2 ct2 x2 for any lorentz transformation between ctx and ct x spacetime coordinat 39049
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A Lorentz invariant Starting from the field transformation given by Eq. (6.76), show that the scalar quantity E^2-c^2 B^2 is invariant under the transformation. In other words, show that E^2-c^2 B^2=E^2-c^2 B^2. You can do this using only vector algebra, without writing out x, y, z components of anything. (The resolution into parallel and perpendicular vectors is convenient for this, since 𝐄⊥ ·𝐄=0, 𝐁 ×𝐄=0, etc.) | Numerade
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