This study deals with the quasinormal modes and greybody factors of the static black hole surrounded by a dark matter halo. For this, the effective potential parameter for the scalar, vector and gravitational perturbations has been formulated for the black hole under consideration. In both the scalar and vector perturbation fields, we investigate the quasinormal modes of the static black hole with a dark matter halo and get the quasinormal frequencies by applying the 6th-order Wentzel-Kramers-Brillouin approximation method and circular null geodesic technique. To investigate the quasinormal frequency, we consider a variety of values for the dark matter halo parameters [Formula: see text] and [Formula: see text]. The analysis of greybody factors shows that the behavior depends on different parameters: when the multipole number [Formula: see text] increases the transmission curves are shifted toward higher frequencies, which confirms the increased scattering. On the other hand, the increase of the dark matter halo parameters [Formula: see text] and [Formula: see text] moves the greybody factor curves to lower frequencies, indicating a higher probability of transmission. Additionally, we provide strict bounds on the greybody factors for scalar perturbations and validate the impact of the parameters [Formula: see text], [Formula: see text], and [Formula: see text]. We have noticed that the quasinormal modes analysis shows that the combined effects of the parameters [Formula: see text] and [Formula: see text] result in a significant decrease in the real oscillation frequencies. At the same time, the size of the imaginary part is reduced, which means that the damping rate will be reduced and the ringdown signal will last longer.
Einstein's boxes and the Einstein–Podolsky–Rosen (EPR) correlations are examined as thermodynamic protocols with explicit preparation, access, and restoration requirements. For a finite rectangular partition we derive implicit analytic spectral equations, insertion-work expressions, and leading finite-time excitation corrections. For an exactly centered barrier, reflection symmetry separates the even and odd sectors, so closure of the lowest doublet gap alone does not invalidate symmetric adiabatic splitting. Small offsets remove this selection rule; we quantify the resulting transition amplitude and its dependence on the pointer position variance. Treating the partition apparatus quantum mechanically distinguishes accessible records from globally retained coherence: partial tracing yields an improper mixture and does not establish a classical ontology. For EPR we compare three measurement patterns and distinguish ideal register reset from complete-cycle restoration. A globally controlled pure Bell state and a classically correlated mixed pair with the same computational-basis statistics exhibit a one-bit ideal reset-heat differential. This differential quantifies global purity under specified access conditions, not a universal entanglement advantage: retained classical seeds, measurement records, transport, communication, and control restoration belong in a parity-matched ledger. A two-axis preparation–access taxonomy then organizes the Einstein, Bohr, Everett, and Pusey–Barrett–Rudolph discussions without identifying thermodynamic cost with ontic support. The result is a resource-explicit connection between foundational description and thermodynamic operation, with experimentally relevant requirements for testing the conditional purity comparison.
In this manuscript, we consider an extension of harmonic oscillator systems that uses parity concept to develop the quantum model for a qutrits-field system (Qs-FS), based on a particular Heisenberg algebraic deformation. We introduce a quantum framework for a two Qs interacting with a cavity field, where the field is initially set in parity-deformed coherent states (P-DCSs). We examine the dynamical features of this quantum system considering the effects of both the time-varying coupling (T-VC) and deformation parameter. Our study focuses on the entanglement within the Qs-F state and the Q-Q state, as well as the Qs coherence. Our findings indicate that the system exhibits periodic occurrences of maximum entanglement and coherence throughout its dynamical evolution. Additionally, we explore how the T-VC and deformation influence the statistical properties of the quantized field during the time evolution.
We present a systematic investigation of [Formula: see text] pairing correlations in multi-strange hypernuclei within the self-consistent coordinate-space Hartree-Fock-Bogoliubov (HFB) framework. Calculations are performed for even-even Ni ([Formula: see text], [Formula: see text]–[Formula: see text]) and Sn ([Formula: see text], [Formula: see text]–[Formula: see text]) isotopic chains with [Formula: see text] hyperons added pairwise up to strangeness [Formula: see text] and [Formula: see text], respectively. The SLy5 Skyrme functional is adopted for nucleons, while the DF-NSC97a and EmpC functionals describe the hyperonic sector. The hyperon pairing gap [Formula: see text] exhibits a pronounced oscillatory behavior with strangeness. For Ni isotopes, complete suppression occurs at [Formula: see text] and [Formula: see text], while the higher-shell closures at [Formula: see text] and [Formula: see text] are observed only in isotopes where a sufficient number of bound [Formula: see text] single-particle states is available. For Sn isotopes, complete suppression is observed at [Formula: see text] and [Formula: see text], while an additional closure appears at [Formula: see text] in isotopes where a sufficient number of bound [Formula: see text] single-particle states is available. These quenching points coincide with hyperonic shell and subshell closures, providing consistent evidence for the corresponding spherical hyperonic magic numbers. The persistence of these shell closures across both isotopic chains supports the use of [Formula: see text] as a sensitive probe of shell structure in multi-[Formula: see text] systems. Changes in neutron pairing, density distributions, and single-particle spectra further demonstrate the coupling between hyperon shell filling and nuclear structure.
Black hole environments modify ringdown through a common gravitational redshift and smaller changes to the perturbation potential. For the exact Schwarzschild–Hernquist spacetime, we define a redshift normalization using the horizon surface gravity and show that it removes the leading compactness dependence of the near zone axial problem. The first local correction is quadratic in halo compactness at fixed halo to black hole mass ratio. We derive a redshift independent photon region invariant through cubic order and calculate fundamental axial quasinormal modes for multipoles two through eight using a global three domain spectral eigenvalue problem. The extracted quadrupole coefficients for oscillation and damping are 1.3537 and -1.8535, with observed numerical sensitivity envelopes of 0.0092 and 0.0234, respectively. A full profile eigenvalue perturbation check supports the direct frequency calculation. Intermode ratios cancel the common redshift and mass scale, yielding a model specific diagnostic of finite multipole environmental corrections.
