Thermodynamic signatures in black hole geometry and harmonic oscillations with nonlinear electromagnetic fields and phantom global monopole
Why this work is in the frame
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Bibliographic record
Abstract
We investigate the thermodynamic and dynamical properties of charged black holes influenced by nonlinear electromagnetic fields in the presence of a phantom global monopole. Focusing on the thermodynamic topology, we analyze the distribution and stability of topological charges derived from the free energy landscape, revealing a consistent total topological charge characteristic of the Reissner-Nordström black hole class. Extending this approach to photon sphere configurations, we demonstrate that their topological charges remain invariant under variations of the symmetry-breaking energy scale and coupling strengths, reflecting inherent geometric and thermodynamic stability. Additionally, we perform a comprehensive study of quasi-periodic oscillation (QPO) frequencies arising in the spacetime of such black holes, incorporating couplings to both phantom scalar and global monopole sectors. By systematically varying the monopole coupling parameter η , the phantom coupling ζ , and the magnetic charge Q , we elucidate their distinct influences on radial epicyclic, orbital, and periastron precession frequencies. Our results indicate that stronger monopole and phantom couplings suppress epicyclic oscillation amplitudes and shift characteristic frequencies outward, while increased magnetic charge stabilizes orbital motion closer to the black hole by lowering oscillation frequencies. These modifications suggest potential observational signatures in accretion phenomena and X-ray binaries, offering novel avenues to probe beyond-Einstein gravity in strong-field regimes. Future work will extend these analyses to rotating black holes, incorporate higher-order nonlinear electrodynamics effects, and explore implications for gravitational wave emissions.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it