Investigation reveals novel spin matrices and their algebraic properties in complex Minkowski spacetimes, indicating connections to quaternionic structures.
Key Points
The aim is to explore the algebraic properties of spin matrices in complex Minkowski spacetimes.
Examined two complex Minkowski spacetime metrics.
Analyzed the spin matrices that generate these spacetimes.
Investigated algebraic properties, symmetry, and spectral characteristics.
Identified a novel set of spin matrices.
Characterized symmetry, spectral, commutator, and anticommutator properties.