Beyond the Horizon: Can Spinning Gyroscopes Reveal Naked Singularities?
![Within the ergoregion of a rotating Kerr-Newman black hole, orbital velocity Ω diverges near the central region for naked singularities, distinctly differentiating their behavior from that of a black hole where Ω remains finite, a phenomenon observable across varying [latex] Q [/latex] values and measured in units of [latex] M^{-1} [/latex] as a function of radial coordinate [latex] r [/latex] in units of [latex] M [/latex].](https://arxiv.org/html/2602.18972v1/x6.png)
A new analysis suggests that the precession of test gyroscopes could distinguish between the event horizons of black holes and the potentially observable surfaces of naked singularities.

![The thermodynamic curvature of relativistic fermions exhibits a distinct relationship with the chemical potential within a three-dimensional system undergoing an isothermal process [latex] \beta = 1 [/latex], suggesting an inherent sensitivity of fermionic behavior to subtle changes in energetic conditions.](https://arxiv.org/html/2602.19759v1/x4.png)
![For parameters E=100, [latex]r_s[/latex]=0.5, and [latex]\rho_s[/latex]=0.2-corresponding to conditions depicted in the lower panel of Figure 1 using metric (19)-gravitational-wave signals exhibit irregular amplitude modulation and a loss of quasi-periodic structure, indicative of the stochastic nature of the orbital dynamics underlying these chaotic regimes.](https://arxiv.org/html/2602.19541v1/x23.png)
![The relationship between string width and the dimensionless parameter [latex]\alpha = \lambda/\ell[/latex] reveals a convergence of numerical and analytical approaches, with a full numerical solution-depicted as a solid blue curve-supported by analytical approximations (dashed orange and green) valid in the regimes of small and large α, alongside predictions from the EST model (dashed gray).](https://arxiv.org/html/2602.17758v1/x11.png)