Furkejuvvon:
| Váldodahkki: | |
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| Materiálatiipa: | Recurso digital |
| Giella: | |
| Almmustuhtton: |
Zenodo
2025
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| Fáttát: | |
| Liŋkkat: | https://doi.org/10.5281/zenodo.16919773 |
| Fáddágilkorat: |
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Sisdoallologahallan:
- <p>We introduce a novel four-dimensional spinor representation of the Lorentz group in which Dirac and Weyl spinors are realized as four-component objects living in a common vector space. Within this extended framework there is enough room for both left- and right-chiral Dirac spinors and their duals. These four distinct species transform under the left- and right-handed and corresponding dual (conjugate) representations, respectively. Furthermore, each Dirac spinor (left, right or dual-right, dual-left) can be expressed as a vector sum -rather than a direct sum- of left- and right-chiral four-component Weyl spinors and their duals. Crucially, Dirac spinors and their components now transform under the same spinor space, permitting an unambiguous identification of chiral constituents. This formalism provides a symmetric and geometrically transparent reinterpretation of Dirac spinors and may offer new insights into extended spinor models and relativistic field theories. </p>