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Special Relativity, 4, David Peak
Special Relativity, 4, David Peak
Special Relativity
More kinematic consequences of the Lorentz transformations
Light cones: A “light cone” is a set of world lines corresponding to light rays emanating from and/or entering into an event.
Special Relativity, 7, David Peak
Special Relativity, 7, David Peak
Special Relativity
Relativistic electromagnetism
Let’s return to the problem posed at the end of BK2.
Special Relativity, 2, David Peak
Special Relativity, 2, David Peak
Special Relativity
Events not connected by light propagation
Previously, we considered two events (A, with s-t coordinates (xA, yA,zA ,TA ) = (x′A, y′A,z′A,T ′A ) = (0,0,0,0) according to both O and Oʹ [moving relative to O with constant velocity β along the mutual x, x′ -axes], and B, with coordinates (xB,0,0,TB) and (x′B,0,0,T′B)) connected by a light pulse.
Special Relativity, 6, David Peak
Special Relativity, 1, David Peak
Special Relativity, 1, David Peak
Special Relativity
Newton and Maxwell
We have seen that simple magnetic forces are incompatible with Newtonian mechanics. There are far more profound incompatibilities between electromagnetism and Newton. In particular, Maxwell’s equations predict that an accelerating charge produces a time changing magnetic field, which, in turn, produces a time changing electric field, which, in turn, produces a time changing magnetic field, which, in turn, produces … . This self-sustaining production of magnetic and electric fields propagates away from the source charge at a finite speed given by 1 µ0ε 0 (in empty space), the numerical value of which is approximately 3x108 m/s. But, …
Special Relativity, 5, David Peak