Josephson interferometry in an Oppenheimer--Snyder-like scale-dependent black-hole spacetime
Abstract
We develop a covariant framework for Josephson transport, superconducting interference, and shunt noise in the scale-dependent exterior generated by an Oppenheimer--Snyder-like collapse. Static Josephson frequencies and transported currents referred to Killing time acquire one lapse factor, whereas power acquires two. For a junction comoving with the collapsing surface, the coordinate-time phase rate differs from the frequency received at infinity because of null propagation and Doppler effects. We derive the exact radial-null travel-time kernel and show that its local near-extremal logarithmic enhancement crosses over, at fixed emission offset, to pole-controlled extremal behavior. We also obtain the redshifted resistively and capacitively shunted-junction equation and the dc and microwave-driven two-junction interference envelopes. In the negligible-total-inductance limit, static lapse imbalance modifies lobe amplitudes without shifting their centers, whereas microwave-induced translations require dynamical fluxoid closure. In a Hartle--Hawking state, Tolman redshift produces a superconducting exclusion layer and a lapse-independent asymptotic shunt-noise spectrum; its low-frequency limit obeys a parameter-free fluctuation--delay relation. Finally, we derive a shadow--Josephson consistency relation and sensitivity bounds on the running parameter.
Related
- Observational properties of magnetized quantum Oppenheimer-Snyder black holes
- Naked Singularities and Black Hole Thermodynamics from Shadows and Photon Rings in the Quantum Oppenheimer-Snyder Model
- Canonical-Ensemble Stability of the Quantum Oppenheimer-Snyder Black-Hole Exterior
- Tidal forces in the quantum Oppenheimer--Snyder black hole
- Simpson-Visser regularization of the quantum Oppenheimer-Snyder-Datt black hole
BibTeX
@misc{ovgun2026josephson,
title = {{Josephson interferometry in an Oppenheimer--Snyder-like scale-dependent black-hole spacetime}},
author = {Ali Ovgun and Reggie C. Pantig and G. Lambiase},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.01177},
eprint = {2609.01177},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.01177},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Josephson interferometry in an Oppenheimer--Snyder-like scale-dependent black-hole spacetime
AU - Ali Ovgun
AU - Reggie C. Pantig
AU - G. Lambiase
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.01177
UR - https://arxiv.org/abs/2609.01177
AB - We develop a covariant framework for Josephson transport, superconducting interference, and shunt noise in the scale-dependent exterior generated by an Oppenheimer--Snyder-like collapse. Static Josephson frequencies and transported currents referred to Killing time acquire one lapse factor, whereas power acquires two. For a junction comoving with the collapsing surface, the coordinate-time phase rate differs from the frequency received at infinity because of null propagation and Doppler effects. We derive the exact radial-null travel-time kernel and show that its local near-extremal logarithmic enhancement crosses over, at fixed emission offset, to pole-controlled extremal behavior. We also obtain the redshifted resistively and capacitively shunted-junction equation and the dc and microwave-driven two-junction interference envelopes. In the negligible-total-inductance limit, static lapse imbalance modifies lobe amplitudes without shifting their centers, whereas microwave-induced translations require dynamical fluxoid closure. In a Hartle--Hawking state, Tolman redshift produces a superconducting exclusion layer and a lapse-independent asymptotic shunt-noise spectrum; its low-frequency limit obeys a parameter-free fluctuation--delay relation. Finally, we derive a shadow--Josephson consistency relation and sensitivity bounds on the running parameter.
ER -