Bridging Relativistic Twisted Fermion Beams and Photonic OAM Flux in Gauged Hopf Lattices: Emergent Topological Analogs

Abstract:Recent work has demonstrated non-diffractive topological spin textures (Skyrmion- and meron-like) that persist in the core of diffracting relativistic twisted fermion beams [1]. Here we present numerical simulations of an analogous photonic system: Laguerre-Gaussian (LG) twisted photon packets coupled to a gauged Hopf lattice with discrete flux flywheels. Our results reveal emergent behavior of the same qualitative class, including persistent core features under propagation, mean survival approx 0.150 at critical lambdat = 2 clustering tightly with the mystery scale e^{-2} approx 0.1353 and residual R approx 0.1375, golden-angle correlations in the OAM mode ladder, and topological residuals with long-lived structure. Multi-l simulations further exhibit z-resolved flux transfer and twist dynamics that play a role analogous to probability-current continuity in the fermionic setting. These findings suggest photonic platforms as accessible analogs for exploring topological textures in structured waves, and they formalize a concrete computational bridge between relativistic twisted matter waves and topological photonics.

Code frozen at: this https URL (commit a86062d) Includes full anc/ directory with frozen code, data, and figure scripts. Live demo: this https URL

Optics (physics.optics); Quantum Physics (quant-ph)

arXiv:2607.16520 [physics.optics]

(or arXiv:2607.16520v1 [physics.optics] for this version)

https://doi.org/10.48550/arXiv.2607.16520 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

data/emergence_probes/ell_survival_sweep.png

data/emergence_probes/kappa_survival_sweep.png

data/emergence_probes/report.json

data/vqc_coupling_demo/flux_kick_slice.png

data/vqc_coupling_demo/summary.json

data/vqc_coupling_demo/vqc_coupling_timeseries.png

data/vqc_coupling_demo/vqc_propagation_heatmap.png

figures/figure_1.jpg

figures/figure_2.jpg

figures/figure_3.jpg

figures/figure_4.jpg

freeze_info.json

oam_flux/README.md

oam_flux/configs/default.yaml

oam_flux/pyproject.toml

oam_flux/requirements.txt

oam_flux/scripts/deploy_hf_space.sh

oam_flux/scripts/run_coupling_demo.py

oam_flux/scripts/run_eddington_probe.py

oam_flux/scripts/run_emergence_probes.py

oam_flux/scripts/run_vqc_coupling_demo.py

oam_flux/scripts/sync_hf_space.sh

oam_flux/space/oam_flux/README.md

oam_flux/space/oam_flux/app.py

oam_flux/space/oam_flux/build_info.py

oam_flux/space/oam_flux/configs_default.yaml

oam_flux/space/oam_flux/demo_core.py

oam_flux/space/oam_flux/oam_flux/__init__.py

oam_flux/space/oam_flux/oam_flux/back_reaction.py

oam_flux/space/oam_flux/oam_flux/constants.py

oam_flux/space/oam_flux/oam_flux/coupling.py

oam_flux/space/oam_flux/oam_flux/dose_equivalence.py

oam_flux/space/oam_flux/oam_flux/eddington.py

oam_flux/space/oam_flux/oam_flux/emergence.py

oam_flux/space/oam_flux/oam_flux/flux_deposit.py

oam_flux/space/oam_flux/oam_flux/helix_viz.py

oam_flux/space/oam_flux/oam_flux/lattice.py

oam_flux/space/oam_flux/oam_flux/momentum.py

oam_flux/space/oam_flux/oam_flux/photon.py

oam_flux/space/oam_flux/oam_flux/pulse_envelope.py

oam_flux/space/oam_flux/oam_flux/pulse_stats.py

oam_flux/space/oam_flux/oam_flux/pulse_train.py

oam_flux/space/oam_flux/oam_flux/vqc_coupling.py

oam_flux/space/oam_flux/oam_flux/vqc_photonics.py

oam_flux/space/oam_flux/requirements.txt

oam_flux/src/oam_flux/__init__.py

oam_flux/src/oam_flux/back_reaction.py

oam_flux/src/oam_flux/constants.py

oam_flux/src/oam_flux/coupling.py

oam_flux/src/oam_flux/dose_equivalence.py

oam_flux/src/oam_flux/eddington.py

oam_flux/src/oam_flux/emergence.py

oam_flux/src/oam_flux/flux_deposit.py

oam_flux/src/oam_flux/helix_viz.py

oam_flux/src/oam_flux/lattice.py

oam_flux/src/oam_flux/momentum.py

oam_flux/src/oam_flux/photon.py

oam_flux/src/oam_flux/pulse_envelope.py

oam_flux/src/oam_flux/pulse_stats.py

oam_flux/src/oam_flux/pulse_train.py

oam_flux/src/oam_flux/vqc_coupling.py

oam_flux/src/oam_flux/vqc_photonics.py

oam_flux/tests/test_back_reaction.py

oam_flux/tests/test_constants.py

oam_flux/tests/test_dose_equivalence.py

oam_flux/tests/test_eddington.py

oam_flux/tests/test_emergence.py

oam_flux/tests/test_exponential_recovery.py

oam_flux/tests/test_helix_viz.py

oam_flux/tests/test_momentum.py

oam_flux/tests/test_pulse_envelope.py

oam_flux/tests/test_pulse_stats.py

oam_flux/tests/test_pulse_train.py

oam_flux/tests/test_recovery.py

oam_flux/tests/test_vqc_photonics.py

scripts/regenerate_figure_2.py

scripts/regenerate_figures_3_4.py

(74 additional files not shown) You must enabled JavaScript to view entire file list.

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.