Hence time also cancels out leading to two photons which move at the speed of light for which time stands still. For the electron time moves in the forward direction while for the positron time moves in the backward direction. The reason is that besides opposite charges, opposite times must also cancel out. The question then arises why positive and negative charges in a plasma do not annihilate one another. If + q and − q both → 0 that implies m → 0 in accordance with the above equation, and that is exactly what happens when an electron and positron annihilate to produce two real photons of zero mass moving away with the same energy as the electron positron pair to conserve energy. Next let us examine what happens when a charged particle and antiparticle annihilate each other. In this special situation as it is for the frame of reference in which the charge q is at rest.Įnergy can produce both positive and negative charges + q and − q. The second term inside 1 / 2 becomes 0 as it is due to the Magnetic field and the first term becomes 1 as it is due to the Electric field.
Using the above relationships between primed and unprimed Electric and Magnetic fields, we get: We pick the unprimed Electric and Magnetic fields as the rest frame for the charge q, and the primed Electric and Magnetic fields as the frame in which the charge q is moving with velocity v along the x-axis. We consider the relationship between the Electric and Magnetic fields when viewed from two different reference frames.
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