Egyptian Center for Theoretical Physics (ECTP)

06/01/2026

We would like to congratulate Prof. Dr. Abdel Nasser Tawfik Abdel Nasser Tawfik's Page, Professor Dr. Salah Gomaa Elgendi (Islamic University of Madinah), Professor Dr. Sameh Shenawi (Modern Academy For Engineering & Technology, and Dr. Mahmoud Hanafy Nassar (Benha University) for the publication of their paper titled "Canonical Quantization of Metric Tensor for General Relativity in Pseudo-Riemannian Geometry" in MDPI Physics!

The paper presents a rigorous mathematical derivation of a geometric quantization of the fundamental metric tensor! The paper belongs to the Special Issue "Beyond the Standard Models of Physics and Cosmology".

By extending the four-dimensional semi-Riemann geometry to higher-dimensional Finsler/Hamilton geometry, the canonical quantization of the fundamental metric tensor of general relativity, i.e., an approach that tackles a geometric quantity, is derived.

06/01/2026

خالص العزاء للدكتور Mahmoud Hanafy Nassar! رحم الله والده الكريم وتغمده بالرحمة والغفران!

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.

14/03/2025

We would like to congratulate the team of researchers led by Professor Abdel Nasser Tawfik Abdel Nasser Tawfik's Page for publishing their sentimental paper entitled with "Einstein-Gilbert-Straus solution of Einstein Field equations: Timelike geodesic congruence with conventional and quantized fundamental metric tensor" in Nuclear Physics, Section B, Volume 1014, Page 116866, year 2025!
The paper provides significant insights into the dynamics of various kinematic quantities, including the expansion (volume scalar), shearing (anisotropy), rotation (vorticity), and the Ricci identity (local gravitational eld) as combined in the Raychaudhuri equation which describes how these quantities correlate and contribute to the characteristics and onset of space and initial singularities. To the main conclusion we find that a) a singularity-free solution of EFE is achieved in both space and time using either the conventional or quantized fundamental metric tensor, and b) the quantized fundamental metric tensor, which provides a significant extension of general relativity into relativistic and quantum regimes, seems to naturally lead to the quantization of the Raychaudhuri equation, thereby greatly enhancing the strength of such a solution. The Einstein-Gilbert-Strau (EGS) metric exhibits significant differences from both the Schwarzschild and FLRW metrics, suggesting that the conclusion regarding the nonsingularity of the EGS is likely independent of the specific model employed. Additionally, the Ricci and Kretschmann scalars seem to provide evidence that the proposed geometric quantization reveals nonsingularity which is fundamentally real, intrinsic, and essential rather than an artifact arising from a specfiic choice of coordinates.
https://authors.elsevier.com/tracking/article/details.do?aid=116866&jid=NUPHB&surname=Abdel Nasser Tawfik's Page
https://pdf.sciencedirectassets.com/271560/1-s2.0-S0550321325X00055/1-s2.0-S0550321325000756/main.pdf?X-Amz-Security-Token=IQoJb3JpZ2luX2VjEKf%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaCXVzLWVhc3QtMSJGMEQCICxIEaJEymGtdnB8yAPPWDN1CK4pGhhiAO0rkUao1anuAiA7I0xz9htAULRGi2J%2FDwKMqchoC8r2qlaTXU3FxmACDiq8BQjv%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F8BEAUaDDA1OTAwMzU0Njg2NSIMmZFbZXMQvdugwdvxKpAFtI%2BoX7nVBxaaaNL%2BkNkXbDISLaYUBsg39t3xKwRZjwxCwRIfqThWuY0ii0%2FJBN41GnX85kU5NawxqAAkW3JhgHdUY4s3MyXDepbD8sxZ998S9a%2Fyfn1MOQc7AM%2BXxOJQK%2Fxluw0hZhfdktosd6OSuRmf%2FkhalDCtM5Fza0SkZJgN7B1yP8Ikaf9NPS8S9iNf%2BxyL%2Bi44iyB27dFQKt4TP7rJIm1UTX1z%2B3Tk8x7H5UnVPIE1Q2T3zS9UPR4omZ75%2B28yq%2F81YCvqxTrZxUljTvcMeW%2B1aP9vU8gp0Ng5pETpli87ZK4p7vRvcmr1LUXFi3SxcPvBQvu%2FL0PNkdDcznX4qghP%2FAZ9F9xWgqG7uHBU2zv%2BjtuH3wmy4KmCEH81QxtwL80r%2BzyD2IW5AgULUhyXCstCxcN82oLf2vGHdFVKpdAymKtg6NulPbEB2LdDzvpkvZLOcMzy3jEgNb9tEVcGYtwEmrejFajrz%2B0zNt6F6H5C1BwiG9jHZd0qMmWIGCkbBr1YTyoJAgr7DNVTwt3DIpJJU3LUNzPMexTtuqPu9kxr07SM6V%2F7MJrMgCQEIgM7FjIwPwcy3X5jntQBnVr8x0g5blOB5BMunY5hKwlVNuEunzdLYCdf0goHkcQRPw%2BFr1pwvn9zjNAWulgmFBPQZztmGMVHmqnHE%2FXtbjTz93ynYT8JpJ9HDR%2BWcOlKxfPNw3XNeG25M6aIdb%2Bo2s4IGjReFr2uY8MBnXP%2BrIO1%2Bf3k%2BmgYjFPjIfrdrBk0Z9Nknqb7TcnnUjzjPVgVN8QaU8h0F%2FRvOtG7lw9A8Xw1%2FPQzPSPP4%2B7UhmXIwRyZHd3827AJvYclVTurKT1G6n97eYZYRyA0%2Fl82s53CG2YwkvXQvgY6sgHLizHtXBqhjEV1LQHATjvsJPJxt3ifc%2BMQJ6gtUEqfRlRPteQFOb94aqsdQYmFvsTJ7kyRwH4gtzCYlbcAALVwC%2BcvBKQCXGyaqgTxpbSY5DXlqsd3B%2FDpq%2BlZ7ljRpIm2Ud4FRW2%2B%2B%2Fgzx6EzrDG3moa1tQ%2BoZWReEhsHqQpCTovL1p33fNmjzWm3lyS6ZzXC4gZnQm%2BTWruAp%2FrxKYxDKeS0jO8NDhAA715KAtl0p7TC&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Date=20250314T152750Z&X-Amz-SignedHeaders=host&X-Amz-Expires=299&X-Amz-Credential=ASIAQ3PHCVTY4TWJQXTT%2F20250314%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Signature=9eb6eac5fbc34b9d0f50d5cf1f91f4d2db4229bf2d097250552c8f607618da9d&hash=1677bc12e7c83258d8c4b6b319a58fe033bb7661a476abab15fe0d5eba58adbe&host=68042c943591013ac2b2430a89b270f6af2c76d8dfd086a07176afe7c76c2c61&pii=S0550321325000756&tid=spdf-fe4eb981-de4b-4c2a-affc-c3e7b76cadb2&sid=38dc5a1c38a98343e228d0009a12d88de88agxrqb&type=client&tsoh=d3d3LnNjaWVuY2VkaXJlY3QuY29t&rh=d3d3LnNjaWVuY2VkaXJlY3QuY29t&ua=1f015950535607025d550b&rr=9204cc23dc2d353b&cc=eg

22/01/2025

We would like to congratulate Professor Abdel Nasser Tawfik's Page Abdel Nasser Tawfik (Egyptian Center for Theoretical Physics (ECTP), Professor Azar A. Ahmadov (Baku State University), Alexandra Friesen (Joint Institute for Nuclear Research), Yuriy Kalinovsky (Joint Institute for Nuclear Research - JINR), Alexey Aparin (Joint Institute for Nuclear Research) and Dr. Mahmoud Hanafy Nassar (Benha University) for publishing their paper entitled: "Derivation of Meson Masses in SU(3) and SU(4) Extended Linear Sigma Model at Finite Temperature" in MDPI Particle as an invited Paper.
For the first time
Masses of at least 17 meson states in SU(3) and
Masses of at least 29 meson states in SU(4) are derived at finite Temperature!

14/01/2025

We would like to congratulate Abdel Nasser Tawfik's Page , Mohammad Maher, Fady Farouk and Salah Tarabia (Helwan University - جامعة حلوان) for publishing the paper entitled "Quantum-induced revisiting space-time curvature in relativistic regime" in "Int.J.Mod.Phys.A" Volume 39, Number 35, Page 2443016, Year 2024.

Publishes important review articles and original articles on the subject of Particles and Fields (High-Energy Physics) and topics intersecting with Gravitation and Cosmology.

02/11/2024

We would like to congratulate Muhammad Waqas 🇨🇳, Muhammad Ajaz 🇵🇰, Taoufik Saidani 🇸🇦, Abdel Nasser Tawfik's Page 🇪🇬, Abd Haj Ismail 🇦🇪, for publishing the manuscript "Exploring nuclear matter phase transition through pTpT​ spectra analysis using blast wave model with Tsallis statistics in proton–proton collisions" in the European Physics Journal Plus Volume 139, Number 10, Pages 934, Year 2024.
https://epjplus.epj.org/articles/epjplus/abs/2024/10/13360_2024_Article_5717/13360_2024_Article_5717.html

24/09/2024

We would like to congratulate Professor Abdel Nasser Tawfik's Page, Professor Surajit Chattopadhyay (AMITY University 🇮🇷), and PhD Student Khandro K Chokyi (AMITY University 🇮🇷), for the acceptance of their paper entitled with "Barrow Holographic Dark Energy: Reconstruction within Saez-Ballester Theory in Kantowski-Sachs Universe" in IOP Physica Scripta DOI 10.1088/1402-4896/ad7b87

https://iopscience.iop.org/article/10.1088/1402-4896/ad7b87
Egyptian Center for Theoretical Physics (ECTP) Ahram Canadian University Amity University Future University in Egypt

01/09/2024

30/08/2024

We would like to congratulate Professor Abdel Nasser Tawfik's Page Abdel Nasser Tawfik 🇪🇬 and Doctor Azzah Alshehri of University of Hafr Al - Batin 🇸🇦 for publishing their paper entitled with "Relativistic generalized uncertainty principle for a test particle in four-dimensional spacetime" in the journal "Modern Physics Letters A".
The paper introduced a new approach for "Generalizing the Quantum Mechanics". This methodology introduce a first-principle attempt to link "Uncertainty Principle" to "Curved Spacetime".