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- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_2040%3A_General_Physics_III/07%3A__Special_Relativity/7.3%3A_Relativistic_QuantitiesA velocity-addition formula is an equation that relates the velocities of moving objects in different reference frames.
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/11%3A_Lorentz_Transformations
- https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/27%3A__Special_Relativity/27.4%3A_Implications_of_Special_RelativitySpecial relativity changed the way we view space and time and showed us that time is relative to an observer.
- https://phys.libretexts.org/Bookshelves/Nuclear_and_Particle_Physics/Nuclear_and_Particle_Physics_(Walet)/09%3A_Relativistic_Kinematics/9.01%3A_Lorentz_Transformations_of_Energy_and_MomentumFrom the Lorentz transformation property of time and position, for a change of velocity along the x-axis from a coordinate system at rest to one that is moving with velocity \({\vec{v}} = (v_x,0,0...From the Lorentz transformation property of time and position, for a change of velocity along the x-axis from a coordinate system at rest to one that is moving with velocity →v=(vx,0,0) we have We know however that the full four-momentum is conserved, i.e., if we have two particles coming into a collision and two coming out, the sum of four-momenta before and after is equal,
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_2040%3A_General_Physics_III/07%3A__Special_Relativity/7.4%3A_Implications_of_Special_RelativitySpecial relativity changed the way we view space and time and showed us that time is relative to an observer.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Variational_Principles_in_Classical_Mechanics_(Cline)/17%3A_Relativistic_Mechanics/17.03%3A_Special_Theory_of_RelativityEinstein's Special Theory of Relativity.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Tatum)/15%3A_Special_Relativity/15.05%3A_The_Lorentz_TransformationsIt is impossible to determine the speed of motion of a uniformly-moving reference frame by any means whatever, whether by a mechanical or electrical or indeed any experiment performed entirely or part...It is impossible to determine the speed of motion of a uniformly-moving reference frame by any means whatever, whether by a mechanical or electrical or indeed any experiment performed entirely or partially within that frame, or even by reference to another frame
- https://phys.libretexts.org/Bookshelves/Relativity/Special_Relativity_(Crowell)/01%3A_Spacetime/1.04%3A_The_Lorentz_transformationIn special relativity it is of interest to convert between the Minkowski coordinates of observers who are in motion relative to one another. The result, shown in figure 1.4.1 , is a kind of stretching...In special relativity it is of interest to convert between the Minkowski coordinates of observers who are in motion relative to one another. The result, shown in figure 1.4.1 , is a kind of stretching and smooshing of the diagonals. Since the area is invariant, one diagonal grows by the same factor by which the other shrinks. This change of coordinates is called the Lorentz transformation.
- https://phys.libretexts.org/Courses/Muhlenberg_College/MC_%3A_Physics_213_-_Modern_Physics/01%3A__Relativity/1.06%3A_The_Lorentz_TransformationRelativistic phenomena can be explained in terms of the geometrical properties of four-dimensional space-time, in which Lorentz transformations correspond to rotations of axes. The analysis of relativ...Relativistic phenomena can be explained in terms of the geometrical properties of four-dimensional space-time, in which Lorentz transformations correspond to rotations of axes. The analysis of relativistic phenomena in terms of space-time diagrams supports the conclusion that these phenomena result from properties of space and time itself, rather than from the laws of electromagnetism.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_III_-_Optics_and_Modern_Physics_(OpenStax)/05%3A__Relativity/5.06%3A_The_Lorentz_TransformationRelativistic phenomena can be explained in terms of the geometrical properties of four-dimensional space-time, in which Lorentz transformations correspond to rotations of axes. The analysis of relativ...Relativistic phenomena can be explained in terms of the geometrical properties of four-dimensional space-time, in which Lorentz transformations correspond to rotations of axes. The analysis of relativistic phenomena in terms of space-time diagrams supports the conclusion that these phenomena result from properties of space and time itself, rather than from the laws of electromagnetism.
- https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_2040%3A_General_Physics_III/07%3A__Special_Relativity/7.1%3A_IntroductionExplain why the Galilean invariance didn’t work in Maxwell’s equations