04/04/2025
We would like to congratulate Professor Abdel Nasser Tawfik Abdel Nasser Tawfik's Page, Professor Azzah Alshehri (Hafr Al Batin University, Saudi Arabia) and Doctor Antonio Pasqua (University of Trieste, Italy) for the online publication of their paper titled "Expansion Evolution of Nonhomogeneous Metric with Quantum-Mechanically Revisited Fundamental Metric Tensor" in Physics B of Elsevier.
https://www.sciencedirect.com/science/article/pii/S0550321325001026
In this paper, a quantum geometric approach, a framework incorporating a quantum-mechanically revisited metric tensor, applies a mean-field approximation on the integrated quantum operators. In contrast to the results obtained with conventional metric tensor, the quantum-mechanically induced revision of the metric tensor seems to provide a framework for controlling singularities in the new formulation of general relativity. The degree of quantization likely influences the ability to regulate or even potentially remove both singularities. We conclude that the proposed geometric quantization provides a means to explore the quantum nature of spacetime curvatures, emphasizing that the singularity dilemma arose primarily from the standard semi-classical approximation of Einstein's general relativity.
