418(6): The Einstein Energy Equation in m Space

This is equation (9) with E0 = m c squared. So the relativistic kinetic energy must be defined for consistency as:

T = E – m(r1) half E0

where E0 = m c squared. This result is rigorously consistent with Eq. (32) of Note 417(7), which defines the reduced hamiltonian. So E0 remains the same in m space, and is the energy associated with elementary mass. In my opinion Einstein inferred the relativistic linear momentum of special relativity from the relativistic law of conservation of linear momentum (Marion and Thornton chapter (14)) and must be credited with E = m c squared because this is a simple consequence of squaring the relativistic linear momentum as the attached shows. In my opinion the major contribution of Einstein was relativistic momentum of particles. The fact that all equations must be Lorentz covariant in special relativity was a discovery of Lorentz – the Lorentz covariance. This emerged from discussions with Fitzgerald and Heaviside on the Michelson Morley experiment. However, Einstein made it clear that Lorentz covariance means that all laws of physics must be Lorentz covariant in Minkowski space. This is the principle of relativity of Einstein. Note carefully that Cartan geometry is generally covariant and reduces to Lorentz covariance. So ECE, ECE2 and m theory are generally covariant and automatically reduce to Lorentz covariance.


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