Relativistic Formulation in Dual Minkowski Spacetime

Abstract

The objective of this work is to derive the structure of Minkowski spacetime using a Hermitian spin basis. This Hermitian spin basis is analogous to the Pauli spin basis. The derived Minkowski metric is then employed to obtain the corresponding Lorentz factors, potential Lie algebra, effects on gamma matrices and complex representations of relativistic time dilation and length contraction. The main results, a discussion of the potential applications and future research directions are provided.

Keywords

• Hermitian spin basis
• Minkowski spacetime
• Lorentz factor
• Lie algebra
• complex representations
• metamaterials