Title
Reciprocal Symmetry and Relativity beyond the Speed of Light: A study on reciprocal relation between speed and fasterthanlight,Used
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Planck's hypothesis sets a lower limit (to energy). Einstein's postulate sets an upper limit (to speed). If a particle has a velocity v, the corresponding de Broglie wave has the velocity c2/v. Therefore, de Broglie wave velocities fulfill Einstein's reciprocal postulate that no speed can be less than the speed of light. Planck and de Broglie suggest a reciprocal relation between quantum mechanics and special relativity. From velocity v=x/t we can obtain the reciprocal velocity by interchanging between x and t. In a two dimensional spacetime plane this interchange (of coordinates) means a rotation of the velocity vector. Special relativity should be able to accommodate all relativistic velocities (even if rotated). Therefore, fasterthanlight velocities belong to the quantum mechanical aspect (or rotated region) of special relativity.
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