Topology and knot theory applications in quantum field theory
*Chaitali DeshpandeCorresponding authorchaitali.deshpande@dypvp.edu.inDepartment of Electronics and Telecommunication Engineering Dr. D. Y. Patil Institute of Technology PimpriPune, Maharashtra, 411018, IndiaView full profile → , Chandrashekhar Ramtirthkarchandrashekhar.ramtirthkar@vit.eduDepartment of Mechanical Engineering Vishwakarma Institute of TechnologyPune, Maharashtra, 411037, IndiaView full profile → , Tanveer Ahmad Wanitanveer.ahmad@niu.edu.inDepartment of Physics Noida International UniversityNoida, Uttar Pradesh, 203201, DelhiView full profile → , Varsha Kiran Bhosalevkbhosale21@gmail.comDepartment of Computer Science and Engineering Arvind Gavali College of EngineeringDynashree Institute of Engineering and Technology Sonavadi-Gajavadi SataraSatara, Maharashtra, 415013, IndiaView full profile → , Monali Gulhanemonali.gulhane4@gmail.comDepartment of Computer Science & Engineering Symbiosis Institute of Technology Nagpur Campus Symbiosis International (Deemed University)Pune, Maharashtra, 440008, IndiaView full profile → , K. Senthil Kumardrsenthilkumark@mits.ac.inDepartment of Computer Science & Engineering Madanapalle Institute of Technology & ScienceMadanapalle, Andra Pradesh, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 10 Dec 2024
- Published Online:
- 30 Sep 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2370
- Pages:
- 2281–2287
Abstract
Keywords
Subject Classifications
References
[1] P. Pajo, “A review of the proposed connection between three-dimensional space and knot stability,” (Jul. 2025).
[2] R. L. Ricca, M. Foresti, and X. Liu, “Multi-valued potentials in topological field theory,” in Knotted Fields, R. L. Ricca and X. Liu, Eds. Cham, Switzerland: Springer Nature, 2024, pp. 109–139 (2024).
[3] D. Melnikov, “A tutorial on knots and quantum mechanics,” pp. 1–51 (2025).
[4] S. Zuccher and R. L. Ricca, “Creation of quantum knots and links driven by minimal surfaces,” J. Fluid Mech., vol. 942, pp. A8 (2022).
[5] J. R. Tousi and M. Ghods, “Computing K Banhatti and K hyper Banhatti indices of titania nanotubes TiO2[m, n],” J. Inf. Optim. Sci., vol. 44, no. 2, pp. 207–216 (2023).
[6] S. Akhtar, “Knot invariants and topological quantum field theory,” (2021).
[7] T. Ekholm, L. Fredrickson, M. Kool, A. Sheshmani, and D. E. Diaconescu, “Branches, quivers, and ideals for knot complements,” J. Geom. Phys., vol. 177, pp. 104520 (2022).
[8] L. Boi, “Symmetry and symmetry breaking in physics: From geometry to topology,” Symmetry, vol. 13, no. 11 (2021).
[9] Z. Zhang, “Topological quantum statistical mechanics and topological quantum field theories,” Symmetry, vol. 14, no. 2 (2022).
[10] S. Kothawade and I. Zellar, “Blockchain-enabled transformation in public administrative services: A comparative analysis of current applications and future potential,” Int. J. Recent Adv. Eng. Technol. (IJRAET), vol. 14, no. 1, pp. 128–137 (Apr. 2025).
[11] D. Dhabliya, S. Kunche, S. Dingankar, S. S. Dari, R. Dhabliya, and V. Khetani, “Blockchain technology as a paradigm for enhancing cyber security in distributed systems,” J. Discrete Math. Sci. Cryptogr., vol. 27, no. 2-B, pp. 729–740 (2024).
[12] P. Sahane, M. Gulhane, N. Rakesh, S. M. M. Naidu, M. Grover, and V. Mahajan, “Evaluating lightweight encryption schemes for resource-constrained devices in wireless sensor networks,” J. Discrete Math. Sci. Cryptogr., vol. 28, no. 5-A, pp. 1803–1812 (2025).




