While well-tested at solar system scales, Newtonian gravity exhibits anomalies at larger scales and accelerations below 10^-9 m/s^2 . Although Yukawa-like modifications can reconcile these anomalies with general relativity up to solar system scales, they face challenges at galactic scales. Notably, gravitational anomalies at accelerations ≤ 10^-9 m/s^2 for separations down to 50 μ m remain undetected experimentally. This paper presents a mathematical framework for Yukawa modification of Newtonian gravity in weak acceleration regimes (≤ 10^-9 m/s^2) and small separations ( ≤ 30 μ m) using an extended space model with an extra dimension. This model suggests a vacuum-sourced inertia effect from peculiar photons, with implications for the Mach principle. These photons’ entanglement scale ( ≤ 30 μ m) hints at the possibility of longer-range photon entanglement via analytic continuation, opening new avenues for research in quantum gravity and cosmology.

We study Schwarzschild–AdS black holes in conformal Killing gravity with non-perturbative entropy corrections within the extended phase-space formalism. By deriving the quantum-corrected heat capacity, Helmholtz free energy, internal energy, and Gibbs free energy, we show that quantum corrections modify phase transition points and thermal stability mainly at small horizon radii, while classical behavior is recovered for large black holes. Critical behavior of van der Waals type appears exclusively for positive values of the conformal Killing parameter a. Applying the island prescription, we find that the entanglement entropy of Hawking radiation saturates after the Page time at S_sat = 2(πr_H^2 + ηe^-πr_H^2), thereby restoring unitarity. Stronger quantum corrections increase the entropy threshold and delay information recovery. Furthermore, we examine the universal thermodynamic relation in the extremal limit under a minimal perturbation of the AdS curvature radius. We prove that the quantum correction parameter η cancels out completely, yielding the robust universal combination U = -r_ext^3 / l^3. This demonstrates that the universal relation remains stable against non-perturbative quantum corrections to the entropy.

We investigate thick brane scenarios within the framework of five-dimensional f(Q,T) gravity, where Q is the nonmetricity scalar and T is the trace of the energy–momentum tensor. We consider a non-canonical, factorized K-field matter sector. This model is not equivalent to the standard canonical scalar-field theory even in the linear case F(X)=X, and is therefore treated as an intrinsically non-canonical brane source. By deriving the modified field equations and implementing a first-order formalism, we obtain analytical solutions for various superpotentials and explore their consequences for the brane structure. We conduct a detailed analysis of gravitational perturbations, showing that the massless graviton zero mode is localized on the brane, ensuring the recovery of four-dimensional gravity. The effective potential for tensor modes exhibits a volcano-like structure supporting a localized massless graviton zero mode. The analysis of the massive spectrum indicates the presence of continuum Kaluza–Klein modes, with no clear evidence of quasi-localized resonant states for the parameter choices considered. For suitable values of the Yukawa coupling parameter η, the left-chiral fermion zero mode can be localized on the brane. Our results highlight the phenomenological effects introduced by non-canonical kinetic terms and matter-geometry coupling in f(Q,T) gravity.

Graphene, a two-dimensional material governed by relativistic-like Dirac dynamics, provides a natural stage to study the interplay between quantum information and gravity. In this work, we construct a theoretical framework linking graphene's quantum speed limits, circuit complexity, and holographic duality. We begin with the (2 + 1)-dimensional Dirac equation describing electrons in graphene and incorporate higher-order corrections arising from next-to-nearest neighbor couplings. These deformations modify the energy dispersion and, consequently, the time-energy uncertainty relation underlying quantum speed limits. By interpreting graphene's effective field theory through the lens of holographic duality, we establish an emergent gravitational dual in (3 + 1) dimensions, in which computational complexity corresponds to the growth of the dual black hole geometry. We show that the Margolus-Levitin and Mandelstam-Tamm bounds acquire geometric analogs in the bulk, bounded by the rate of change of holographic volume or action. The resulting "graphene-black hole correspondence" provides a quantitative link between the ultimate computational rate of quantum materials and fundamental limits in quantum gravity. This study lays the foundation for exploring graphene as a condensed-matter analog of spacetime dynamics and a laboratory for quantum-gravitational information flow.

We consider a modified gravity by higher-derivative gravity coupled with non-local terms and Maxwell electrodynamics. By employing the effective field theory framework for quantum gravity, we compute quantum corrections to the entropy of charged AdS black holes, focusing on second-order curvature terms. By incorporating scale-dependent coefficients, we establish that the Wald entropy is renormalization group (RG) invariant, confirming the robustness of the framework. Additionally, quantum corrections to thermodynamic quantities-temperature, pressure, specific heat, and Helmholtz free energy-are derived, all satisfying the first-law of thermodynamics. Specific heat and Helmholtz free energy also exhibit RG invariance, demonstrating stability under scale transformations. These findings highlight the effectiveness of the approach in describing quantum modifications to charged AdS black hole thermodynamics, offering insights into the interplay between quantum gravity and black hole physics.

We investigated the thermodynamic topology of quantum-corrected AdS-Reissner-Nordström black holes in Kiselev spacetime using non-extensive entropy formulation derived from Loop Quantum Gravity (LQG). Through systematic analysis, we examined how the Tsallis parameter λ influences topological charge classification with respect to various equation of state parameters. Our findings revealed a consistent pattern of topological transitions: for λ=0.1, the system exhibited a single topological charge (ω=−1) with total charge W=−1, as λ increased to 0.8, the system transitioned to a configuration with two topological charges (ω=+1,−1) and total charge W=0. When λ=1, corresponding to the Bekenstein–Hawking entropy limit, the system displayed a single topological charge (ω=+1) with W=+1, signifying thermodynamic stability. The persistence of this pattern across different fluid compositions—from exotic negative pressure environments to radiation—demonstrates the universal nature of quantum gravitational effects on black hole topology.

We investigate the quantum thermodynamics of R-charged D1-branes by incorporating non-perturbative exponential corrections that arise naturally from D-instanton contributions in type IIB string theory. Our approach extends beyond classical supergravity solutions to capture the quantum gravitational regime where traditional thermodynamic descriptions break down. Through systematic analysis of the corrected entropy expression, we derive quantum-modified thermodynamic potentials including temperature, specific heat, internal energy, and Helmholtz free energy, revealing profound deviations from classical behavior in the small-horizon limit where quantum effects dominate. The exponential corrections induce thermodynamic instabilities characterized by negative specific heat and modify the brane’s phase structure, while breaking fundamental scaling relations such as the Smarr formula through quantum deviations that encode the breakdown of classical symmetries. We extend our analysis to quantum work and thermodynamic geometry, demonstrating that these corrections reveal strong attractive microstructural interactions and potential phase transitions near extremality. The thermodynamic curvature diverges negatively in the quantum regime, signaling enhanced correlations among underlying degrees of freedom. Through the AdS/CFT correspondence, we interpret these bulk quantum effects within the dual (1 + 1)-dimensional supersymmetric Yang–Mills theory, identifying suppressed degrees of freedom, anomalous scaling behavior, and quantum-induced trace anomalies in the boundary stress tensor. Our holographic renormalization analysis reveals that quantum corrections effectively reduce the central charge and introduce conformal symmetry breaking, reflecting the deep influence of quantum gravity on strongly coupled gauge theories. These findings establish the critical importance of quantum corrections in black brane thermodynamics and provide new insights into the holographic structure of gauge theories under quantum gravitational influence.

In this paper, we investigate the geodesic equations in the spacetime of Einstein-Power-Yang-Mills anti-de Sitter (AdS) black holes. We obtain analytical solutions to the geodesic equations using Weierstrass elliptic and Kleinian sigma hyperelliptic functions. We classify possible orbits such as flyby, bound, terminating bound, and terminating escape orbits based on the analytical solutions and effective potential. We also briefly study the thermodynamics of these black holes, plotting the horizon radius versus mass to demonstrate the possibility of having one or three horizons. We derive expressions for temperature, entropy, pressure, and volume, and interpret the results. We find that there is a possibility of van der Waals-like behavior for the holographic dual fluid corresponding to these Einstein-Power-Yang-Mills AdS black holes.

In this paper, we use the holographic principle to obtain a modified metric of black holes that reproduces the exponentially corrected entropy. The exponential correction of the black hole entropy comes from non-perturbative corrections. It interprets as a quantum effect which affects black hole thermodynamics especially in the infinitesimal scales. Hence, it may affect black hole stability at the final stage. Then, we study modified thermodynamics due to the non-perturbative corrections and calculate thermodynamics quantities of several non-rotating black holes.

Background: In 2022, the International Classification of Diseases (ICD-11) and an update of the Diagnostic Sta-tistical Manual of Mental Disorders (DSM 5 TR) were released for implementation worldwide and now include the new Prolonged Grief Disorder (PGD). The newest definition of PGD is based on robust clinical research from the Global North yet until now has not been tested for global applicability. Methods: The current study assesses the new PGD ICD-11 criteria in a large international sample of 1393 bereaved adults. The majority of the sample was included from the USA. Additionally, we conduct a sub-sample analysis to evaluate the psychometric properties, probable caseness of PGD, and differences in network structure across three regions of residency (USA, Greece-Cyprus, Turkey-Iran). Results: The psychometric validity and reliability of the 33-item International Prolonged Grief Disorder Scale (IPGDS) were confirmed across the whole sample and for each regional group. Using the strict diagnostic algo-rithm, the probable caseness for PGD for the whole sample was 3.6 %. Probable caseness was highest for the Greece-Cyprus group (6.9 %) followed by Turkey-Iran (3.2 %) and the USA (2.8 %). Finally, the network structure of the IPGDS standard items and cultural supplement items (total of 33 items) confirmed the strong connection between central items of PGD, and revealed unique network connections within the regional groups.Limitations: Future research is encouraged to include larger sample sizes and a more systematic assessment of culture.Conclusion: Overall, our findings confirm the global applicability of the new ICD-11 PGD disorder definition as evaluated through the newly developed IPGDS. This scale includes culturally sensitive grief symptoms that may improve clinical precision and decision-making.

We extend the study of corrected thermodynamics for the 3D black holes conformally coupled to scalar field up to non-perturbative level. We calculate the exponential correction to entropy arises due to the microstate counting for quantum states on the boundary. This exponential correction in entropy attributes to the other thermodynamical quantities also. We study the stability and phase transition for this system of black hole under the influence of non-perturbative correction. We also discuss the quantum work associated with exponential corrected entropy. Finally, we justify the results from the view point of thermodynamic geometry.

In this paper, we explore the black hole solutions with the rainbow deformed metric in the presence of the exponential form of the nonlinear electrodynamics with asymptotic Reissner–Nordström properties. We calculate the exact solution of metric function and explore the geometrical properties in the background of massive gravity. From the obtained solution, the existence of the singularity is confirmed in proper limits. Using the solutions, we also investigate the thermodynamic properties of the solutions by checking the validity of the first law of thermodynamics. Continuing the thermodynamic study, we investigate the conditions under which the system is thermally stable from the heat capacity and the Gibbs free energy. We also discuss the possible phase transition and the criticality of the system. It was found that the quantum gravitational effects of gravity’s rainbow render the thermodynamic system stable in the vicinity of the singularity. Hence, we obtained a first-order phase transition which is interpreted as the large/small black hole phase transition. From the equation of state, it was found that after diverging at the singularity, the system evolves asymptotically into pressure-less dust as one moves away from the central singularity. We also calculated the quantum work using the change of the Helmholtz free energy.

We consider an extended Chaplygin gas equation of state which is driven from D-brane action and construct a cosmological model based on this equation of state. In this regard, we compute the scale factor of the model under a certain approximation. The conservation equation of this case is a non-linear differential equation which should solve using the special conditions. We also analyze the stability of the model by using sound speed as well as adiabatic index and discuss certain special cases of the model. We find special equation of state in this model which yields to dynamical and thermodynamical stability. Furthermore, we study the cosmological consequences of this model under certain conditions.

In this paper, we consider higher-order correction of the entropy and study the thermodynamical properties of recently proposed Schwarzschild-Beltrami-de Sitter black hole, which is indeed an exact solution of Einstein equation with a positive cosmological constant. By using the corrected entropy and Hawking temperature, we extract some thermodynamical quantities like Gibbs and Helmholtz free energies and heat capacity. We also investigate the first and second laws of thermodynamics. We find that presence of higher-order corrections, which come from thermal fluctuations, may remove some instabilities of the black hole. Also unstable to stable phase transition is possible in presence of the first- and second-order corrections.

In this paper, we would like to obtain quantum gravity effects by using Hořava–Lifshitz black hole. We consider logarithmic corrected thermodynamics quantities and investigate the effects of logarithmic correction term. Logarithmic correction comes from thermal fluctuation and may be interpreted as quantum loop corrections. As black hole is a gravitational system, hence we can investigate quantum gravity effect. We find such effects on the black hole stability and obtain domain of correction coefficient.

In this paper, we consider the holographic softwall model with Neumann boundary condition and obtain the masses of three gluons glueball with odd spin and P = C = -1, which called odderon. We find relation between angular momenta and mass squared for the odderon spectrum. We draw Regge trajectories for the odderon by using the spectrum masses and find approximate linear Regge trajectories.

We consider a massive gravity black hole in four-dimensional anti-de Sitter space and study the effect of thermal fluctuations on the thermodynamics of the black hole. We consider thermal fluctuations as logarithmic correction terms in the entropy. We analyze the effect of logarithmic correction on thermodynamics potentials like Helmholtz and Gibbs which are found decreasing functions. We study critical points and stability and find that the presence of logarithmic correction is necessary to have stable phase and critical point.

BackgroundPsychiatric patients who live in nursing homes may often feel a loss of autonomy, decision-making, and participation in social activities. They usually had little or no visitors and also they do not have any purpose for living. Pets may decrease this problem and improve their happiness.ObjectivesThe aim of this study is to evaluate the effects of animal-assisted therapy (AAT) on happiness of chronic psychiatric patients in nursing home.MethodThe study design was a randomized controlled trial (RCT) with pre and post-test. Seventy males with chronic mental health disorder who were patients of the nursing homes were randomly divided into a pet therapy intervention group and control group. Patients in the experimental group received pet-therapy with bird as 6 weeks therapy comprising 6 sessions per week. All patients were evaluated by the Oxford happiness questionnaire before and after 6 weeks.ResultsAnalysis of covariance (ANCOVA) was conducted and pretest was considered as a covariate variable. The result demonstrated that the patients in the experimental group had significantly increased (P < 0.001) happiness in posttest scores.ConclusionIt is important to consider ways of enhancing happiness in psychiatric patients who live in the nursing homes. Also, it is appearing that AAT can be helpful for them.Disclosure of interestThe authors have not supplied their declaration of competing interest.

We investigate interacting ghost dark energy models in higher dimensional cosmology. We attempt to model dark matter within a barotropic fluid with [Formula: see text]. In this work, we consider four different models based on choosing equation of state (EoS) parameter and interaction term. We confirm that our models agree with observational data.