Problem

Assume the following (incorrect!) classical picture of the electron intrinsic spin. Take...

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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