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Amir A. Khodahami

Publications and source records attributed to Amir A. Khodahami.

7 recordsLinked to original sources

A revision to the QES prescription

In this paper, we propose a revision to the Quantum Extremal Surface (QES) prescription, which plays a crucial role in describing the entanglement entropy of black holes. While derivations exist for the original QES prescription using the replica trick, they rely on a saddle point approximation that faces challenges when the number of replicas approaches unity. We highlight these challenges and develop a refined formula for the entanglement entropy that incorporates a weighted summation over multiple surfaces, contrasting the QES prescription's reliance on a single extremal surface. We validate our formulation by demonstrating consistency with expected results for both the early and late stages of black hole evaporation, confirming its alignment with the unitary evolution depicted by the Page curve.

hep-th↗

Entanglement islands and information recovery from near-extremal regular black holes

We investigate the Page curve and information recovery in a near-extremal regular black hole inspired by T-duality, in which the central singularity is resolved by a minimal length scale. By integrating the first law of thermodynamics at fixed minimal length, we obtain a black-hole entropy containing an intrinsically quantum logarithmic correction, while the area-law contribution vanishes in the extremal limit. Consequently, the extremal remnant carries a finite entropy of purely quantum origin. Using the island prescription in the near-horizon regime, we evaluate the generalized entropy of radiation and compare the standard area functional with an alternative functional constructed from the corrected thermodynamic entropy of the black hole. In the near-extremal limit, the latter reduces analytically to the classical extremization problem with an effective coupling, and it places the physical island closer to the outer horizon. Although both prescriptions produce a Page transition, they predict different saturation values and Page times. While the standard functional yields a plateau controlled by the area term, the corrected prescription saturates at the full thermodynamic entropy of the outer horizon and, in the extremal limit, at the logarithmic remnant entropy. Including evaporation and backreaction, the Page curve develops the expected descending branch and asymptotes to the entropy of the cold extremal remnant rather than to zero. Our results indicate that a thermodynamically consistent description of information recovery from regular near-extremal black holes requires incorporating the intrinsic quantum correction to the gravitational entropy.

hep-th↗

An Effective Framework for Entropy Modifications via Stochastic Metric Fluctuations

Deviations from the area law of horizon entropy are often modeled phenomenologically through modified Friedmann equations in cosmology. In this work, we explore an effective stochastic interpretation of such modifications by considering a Friedmann--Robertson--Walker (FRW) universe perturbed by a conformal, time-dependent noise factor with vanishing mean. Averaging the Einstein equations to second order in the fluctuation amplitude yields an effective correction to the Friedmann equation. We show that, in the spatially flat case with vanishing cosmological constant, this correction can be effectively matched to the general form induced by a deformed entropy-area relation. Within this phenomenological framework, the noise variance can be suitably chosen to match the functional forms associated with several generalized entropy models, including Renyi, (dual) Kaniadakis, Barrow, logarithmic, and MOND-inspired hypergeometric entropies. The present analysis therefore provides an effective correspondence between stochastic metric fluctuations and entropy deformations.

gr-qc↗

Unified dark sector and Hubble-tension alleviation in scalar-vector-tensor gravity

We investigate a scalar-vector-tensor theory in which matter is minimally coupled to a Jordan-frame metric $\tilde g_{μν}=(1+Ξ)g_{μν}$, while a massive vector sector interacts with the baryonic current. We show that the conformal scalar coupling modifies the physical expansion rate measured by matter observers, leading to an enhancement of the Hubble constant inferred at low redshift. We stress, however, that the Hubble rate is not a conformal invariant, whereas the acoustic angular scale $θ_s$ is, and we derive the exact integral condition that the scalar field evolution must satisfy. We show that a single-signed scalar velocity cannot satisfy it, and we construct instead a two-epoch phenomenological evolution which matches $θ_s$ exactly while retaining the late-time enhancement, at the cost of a small pre-recombination shift of the effective gravitational coupling. Importantly, the recombination temperature is unmodified, since particle masses are constant in the Jordan frame, only the expansion rate at that epoch being altered. The scalar potential naturally acts as a dynamical dark-energy sector, while the vector sector provides two distinct contributions. The temporal component, determined algebraically by the baryon current, yields an apparent matter-like term in the background expansion that is not a true fluid but rather a manifestation of the interaction energy. The propagating spatial modes, on the other hand, form a vector condensate that behaves as a collisionless pressureless component and can play the cosmological role of cold dark matter. Hence, the framework connects scalar dynamics, effective dark-energy evolution, and the $H_0$ tension within a single setup.

gr-qc↗

Holography and the Page curve of an evaporating black hole

The Page curve exhibits a sharp peak at the Page time corresponding to a phase transition from an empty quantum extremal surface to a non-empty one. This study delves into the impact of this phase transition on the informational content of black hole radiation through constructing a smooth Page curve which represents a gradual transition instead. We utilize replica trick, apply holography in a specific form, and introduce mathematical identities inherent to the curve's smoothness. Our results suggest that a gradual transition could lead to a significant increase in the informational content of the radiation.

hep-th↗

Replica wormhole and AMPS firewall

We investigate the potential for generating an AMPS firewall from the replica wormhole topology, which describes the post-Page time spacetime in the evaporation process of a black hole. Our analysis reveals that this topology gives rise to a Dirac delta force experienced by infalling particles at the event horizon, consistent with the AMPS firewall hypothesis. This force, proportional to the particle's total energy squared, is a direct consequence of the inherent Dirac delta in the Ricci scalar of the replica wormhole. We provide a regularization scheme for this force, which is crucial for obtaining physically meaningful results. Notably, our approach suggests that considering the replica wormhole resolves both the information paradox and the AMPS argument regarding the monogamy of entanglement simultaneously, yielding a more coherent framework.

hep-th↗

An approach to the quasi-equilibrium state of a self-gravitating system

We propose an approach to find out when a self-gravitating system is in a quasi-equilibrium state. This approach is based on a comparison between two quantities identifying behavior of the system: a measure of interactions intensity and the area. Gravitational scattering cross section of the system, defined by using the two-particle scattering cross section formula, is considered as the measure of interactions intensity here. A quasi-equilibrium state of such system is considered as a state when there is a balance between these two quantities. As a result, we obtain an equation which relates density and temperature for such a system in the non-relativistic classical limit. This equation is consistent with the TOV equation as expected.

hep-th↗