Show that the result of two Lorentz transformations is a single Lorentz transformation.

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genius_generous answered 1 year ago

Show that 'general Lorentz transformations' form a group.

Derive the Lorentz transformations for time from the transformations for space.

Explain and prove lorentz transformation.

1a) Show that time dilation is a consequence of the Lorentz transformations (3 marks) b) Use the...

1a) Show that time dilation is a consequence of the Lorentz transformations b) Use the Lorentz transformations to find the relationship between the speed u of a moving object measured by one observer and the speed U measured by a second observer moving at a constant speed v relative to the first. Assume that the observers and the object move in the same straight line. c) Show that the measured speed of an object can never exceed a maximum value, whatever...

Special relativity: describe the principle of relativity and Lorentz transformations, and derive the effects of time...

Special relativity: describe the principle of relativity and Lorentz transformations, and derive the effects of time dilation and length contraction. Also explain the meaning of the equation E = m c2 Basic understandings of each part of the question please. I am trying to figureout the concept of my curriculum.

2) Consider the Lorentz transformation that maps (x,t) into (x',t'), where t and x are both...

2) Consider the Lorentz transformation that maps (x,t) into (x',t'), where t and x are both in time units (so x is really x/c) and all speeds are in c units also. a) Show that the inverse of the Lorentz transformation at v is the same as the Lorentz transformation at -v. Why is that required? b) Show that x^2 - t^2 = x'^2 - t'^2, i.e., that x^2 - t^2 is invariant under Lorentz transformation

using the appearance of the interval s2 = c2t2-x2-y2-z2 under the Lorentz transformation demonstrates the contraction...

using the appearance of the interval s2 = c2t2-x2-y2-z2 under the Lorentz transformation demonstrates the contraction of length. in particular show that the length is contracted for an observer moving at a velocity v with respect to an object whose length is L0 in its remainder frame

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Show that the result of two Lorentz transformations is a single Lorentz transformation.

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