Metraipolis › archive › dc_d0bf6487d695

Spectral Reduction Selects the Observable Imprint of Dirac Quantum Geometry — arXiv:2610.38379

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.38379
License (as archived): CC0-1.0
Archived: 2026-11-01T02:50:00.760Z
SHA-256 of the archived text: fcdf3b3b79517bfbdf2578b6b3ae144c203406b09b3749654ae20ede5b92afec
Stable URL of this page: https://metraipolis.com/documento/dc_d0bf6487d695

How to cite

Spectral Reduction Selects the Observable Imprint of Dirac Quantum Geometry — arXiv:2610.38379 — arXiv (en), https://arxiv.org/abs/2610.38379 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_d0bf6487d695 (Metraipolis archive dc_d0bf6487d695, sha256 fcdf3b3b79517bfbdf2578b6b3ae144c203406b09b3749654ae20ede5b92afec)

BibTeX

@misc{dcd0bf6487d695,
  title = {Spectral Reduction Selects the Observable Imprint of Dirac Quantum Geometry — arXiv:2610.38379},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.38379},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_d0bf6487d695; sha256 fcdf3b3b79517bfbdf2578b6b3ae144c203406b09b3749654ae20ede5b92afec},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.38379. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Spectral constraints can alter the observable manifestation of quantum geometry without changing the local eigenspace. Relativistic electron vortices provide a sharp example: the spin orbit interaction redistributes spin and orbital angular momentum, yet its magnetic contribution differs between localized three-dimensional wave packets and stationary monochromatic beams. We resolve this discrepancy by showing that fixing the energy replaces ambient momentum derivatives in position-weighted current moments by shell-tangent derivatives and derive a Hermitian selection rule for first-order observables in momentum-dependent internal subspaces. Its extension-independent form applies beyond Dirac systems, including a broad class of antisymmetric first moments of scalar-charge velocity currents. For the free positive-energy Dirac doublet, the magnetic correction is an exact non-Abelian Berry-curvature contraction with a pointwise saturable quantum-metric bound. Changing the relative phase between the two $\sigma_z$ spinor components switches this correction from zero in a conserved transverse-helicity sector to a finite value in a radial coherent superposition. At fixed finite Lorentz factor, the radial response scales as $O(\theta/\gamma)$, compared with $O(\theta^2)$ for longitudinal polarization. Spectral reduction and internal coherence thus provide distinct controls of the observable imprint of quantum geometry.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2610.38379 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-01T02:19:43.449Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).