• DOI:10.1007/s10702-005-6115-z
• Corpus ID: 119403902

Common Space of Spin and Spacetime

@article{Jin2004CommonSO,
  title={Common Space of Spin and Spacetime},
  author={Wei Min Jin},
  journal={Foundations of Physics Letters},
  year={2004},
  volume={18},
  pages={243-258}
}

• W. Jin
• Published 2 September 2004
• Physics, Mathematics
• Foundations of Physics Letters

Given Lorentz invariance in Minkowski spacetime, we investigate a common space of spin and spacetime. To obtain a finite spinor representation of the non-compact homogeneous Lorentz group including Lorentz boosts, we introduce an indefinite inner product space (IIPS) with a normalized positive probability. In this IIPS, the common momentum and common variable of a massive fermion turn out to be “doubly strict plus-operators”. Due to this nice property, it is straightforward to show an uncertainty relation between fermion mass and proper time. Also in IIPS, the newly-defined Lagrangian operators are self-adjoint, and the fermion field equations are derivable from the Lagrangians. Finally, the nonlinear QED equations and Lagrangians are presented as an example.