Testing charged Simpson-Visser-AdS spacetimes with twin-peak QPOs

In this manuscript, we study circular geodesics and twin-peak high-frequency quasi-periodic oscillations (HF-QPOs) in the charged Simpson–Visser–anti-de Sitter (AdS) spacetime, which depends on a charge parameter $Q$, a regularization scale $b$ and an AdS radius $l$. Written in terms of the areal radius $R=\sqrt{r^2+b^2}$, the specific energy, angular momentum, Keplerian frequency and innermost stable circular orbit (ISCO) of test particles coincide with those of the Reissner–Nordström–AdS black hole, so $b$ enters the epicyclic spectrum only through a factor $1-b^2\mathrm{/}{R}^2$ in the radial frequency. We give this frequency and the ISCO condition in closed form. We then fit the relativistic-precession model to the HF-QPO pairs of GRO~J1655$-$40 and XTE~J1550$-$564, with their dynamical masses included as Gaussian priors. The Schwarzschild limit gives ${\chi }^2=32.9$ for two degrees of freedom. One additional deformation removes this tension: $Q\mathrm{/}M=0.814_{-0.074}^{+0.059}$ at fixed $l=100M$, or $l=40.6_{-4.8}^{+6.2}M$ at $Q=0$, both with ${\chi }^2\simeq 0.13$. These two solutions lie on a single degeneracy valley in the $(Q,l)$ plane, and, at $l=100M$, $b$ is left unconstrained up to $b\simeq 3.9M$ (68%), a limit set by the charge prior rather than by the data. A Kerr black hole with spin $a\simeq 0.3$–$0.4$ reproduces the same pairs, so the inferred deformation most likely absorbs the spin neglected by the static metric. Our results therefore describe degeneracies among orbital-frequency deformations; they are not a measurement of an electric charge or of a cosmological constant.