arXiv:2402.14893v1 Announce Type: new
Abstract: We propose a quantum model of spinning black holes with the integrable ring singularities. For the charged Kerr-Newman quantum metric, the complete regularization takes place at fixing of the maximal (cut-off) energy of gravitons, $k_{UV}^{reg} = hbar c/R_{S}^{reg}$.The domains of existence of one, two and several event horizons $r_{q}$ are shown depending on the parameters of modified Kerr and Kerr-Newman metrics.
The Roadmap for Quantum Models of Spinning Black Holes
In this article, we present a quantum model of spinning black holes with integrable ring singularities. We also propose a method for the complete regularization of the charged Kerr-Newman quantum metric. The main focus of our work is to investigate the domains of existence of one, two, and several event horizons ($r_q$) based on the parameters of modified Kerr and Kerr-Newman metrics.
1. Introduction
Our understanding of black holes has been greatly advanced by classical physics, but many questions still remain unanswered. Quantum models provide a promising avenue for exploring the behavior of these enigmatic objects at the smallest scales.
2. Quantum Model of Spinning Black Holes
We introduce a quantum model that includes spinning black holes with integrable ring singularities. This model allows us to investigate the quantum behavior of black holes in a way that has not been explored before.
3. Regularization of the Charged Kerr-Newman Quantum Metric
In order to obtain meaningful results from our quantum model, it is essential to address the issue of regularization. We propose a method that regularizes the charged Kerr-Newman quantum metric through fixing the maximal (cut-off) energy of gravitons ($k_{UV}^{reg}$). This regularization ensures that our calculations are valid and avoids divergences.
4. Domains of Existence of Event Horizons
We analyze the existence of event horizons ($r_{q}$) in our quantum model, specifically focusing on the modified Kerr and Kerr-Newman metrics. Depending on the parameters of these metrics, we identify the domains in which one, two, or several event horizons exist. This allows us to gain further insights into the behavior and properties of spinning black holes.
5. Challenges and Opportunities on the Horizon
- Challenges:
- The proposed quantum model is based on certain assumptions and approximations. It is important to validate these assumptions through further theoretical and observational studies.
- The regularization method used in this model may require refinement as more advanced techniques of quantum gravity are developed.
- Investigating the behavior of spinning black holes with integrable ring singularities poses mathematical and computational challenges.
- Opportunities:
- Exploring the quantum behavior of spinning black holes opens up possibilities for new discoveries and a deeper understanding of fundamental physics.
- Refining the regularization methods can lead to more accurate predictions and calculations in future quantum models.
- Further investigations into the domains of existence of event horizons can provide insights into the formation and evolution of black holes.
Conclusion
Our quantum model of spinning black holes with integrable ring singularities, combined with the regularization of the charged Kerr-Newman quantum metric, offers a promising approach to understanding the quantum behavior and event horizon properties of black holes. While there are challenges to overcome, the opportunities for new discoveries and a better grasp of the mysteries surrounding black holes make this an exciting field of research.