Title: Quantum equations of motion and the geometrical imperative: relativistic
Abstract: We extract the square root of the Minkowski metric using Dirac/Clifford matrices. The resulting 4 × 4 operator dS that represents the square root can be used to transform four vectors between relatively moving observers. This effects the usual Lorentz transformation. In addition, it acts on a Dirac bi-spinor. The operator is essentially a Hamiltonian that can be used to write an equation of motion for a relativistic spinor. This turns out to be the Dirac equation for electrons in standard form. We believe that it is a new approach to familiar results.
Publication Year: 2023
Publication Date: 2023-10-01
Language: en
Type: article
Indexed In: ['crossref']
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