Schrödinger–Newton Model with a Background

Abstract

This paper considers the Schrödinger–Newton (SN) equation with a Yukawa potential, introducing the effect of locality. We also include the interaction of the self-gravitating quantum matter with a radiation background, describing the effects due to the environment. Matter and radiation are coupled by photon scattering processes and radiation pressure. We apply this extended SN model to the study of Jeans instability and gravitational collapse. We show that the instability thresholds and growth rates are modified by the presence of an environment. The Yukawa scale length is more relevant for large-scale density perturbations, while the quantum effects become more relevant at small scales. Furthermore, coupling with the radiation environment modifies the character of the instability and leads to the appearance of two distinct instability regimes: one, where both matter and radiation collapse together, and others where regions of larger radiation intensity coincide with regions of lower matter density. This could explain the formation of radiation bubbles and voids of matter. The present work extends the SN model in new directions and could be relevant to astrophysical and cosmological phenomena, as well as to laboratory experiments simulating quantum gravity.

Integrated Bioinformatics Analysis Confirms the Diagnostic Value of Nourin-Dependent miR-137 and miR-106b in Unstable Angina Patients

“…Nourin homology modeling was carried out using Schrödinger Maestro software, with the crystal structure of a homologous template identified via the Protein Data Bank (PDB) database using the BLAST tool. The template structure was downloaded and used to predict Nourin's 3D structure [34,35]. The structure of Nourin was predicted using Schrödinger's software for protein structure prediction.…”

“…The model obtained was optimized for energy using the steepest descent method in Schrödinger's Maestro software. Subsequently, the conjugate gradient method was employed for further energy minimization and the Prime energy score, a metric for evaluating the structural energy stability, was used to assess the quality of the final model [34,36].…”

“…The model was further optimized by correcting the structural flaws identified during the analysis, followed by energy minimization using Schrödinger's Prime and MacroModel software [34].…”

Schrödinger–Poisson systems under gradient fields

“…It may be interesting to compare the dispersion relations produced by gradient fields with the case of a pure Yukawa potential, which has been used to promote alternative theories of gravitation 54 and occurs naturally in plasma physics 55 , 56 . In this case, the zero-temperature dispersion relation reads as (see 57 for the special case of a SGS) with . In the case of a SGS, Yukawa-type gravity implies stability for larger wavelengths perturbations.…”

On the entropy corrected thermal features of black holes

“…In a recent contribution [32], this direction of inquiry was reversed, with the author seeking to establish a thermodynamic basis for well-known, yet theoretically unjustified, generalizations of Newtonian gravity. Such generalized gravitational laws are widely studied in astrophysics and cosmology [33][34][35][36], but lack a strong theoretical justification. This innovative approach holds the potential to deepen our understanding of the fundamental nature of gravity as it suggest an origin for these alternative gravity models based on a generalized entropic form.…”