Assume the following (incorrect!) classical picture of the electron intrinsic spin. Take the electrical energy of the electron to be equal to its mass energy concentrated into a spherical shell of radius R:
Calculate R (called the classical electron radius). Now let this spherical shell rotate and calculate the tangential speed v along the sphere’s equator in order to obtain the electron intrinsic spin. Use the equation
where I = moment of inertia of a spherical shell = 2mR2/3. Is the value of v obtained in this manner consistent with the theory of relativity? Explain.
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