This paper constructs a gauge transformation where two photons convert into a graviton, revealing that the graviton can be viewed as a result generated by the interaction of two photons through gauge transformations that traverse different fundamental interactions, and vice versa. So it can be speculated that at any spacetime point in our universe, there exists a corresponding the generalized gauge transformation for each fundamental interaction (such as gravitation, electromagnetism, strong or weak interaction). This generalized gauge transformation corresponds to a specific physical process, allowing the conversion from one fundamental interaction to another. This significant conclusion indicates that the theory of principal fiber bundles and its geometric picture of the universe exhibits remarkable adaptability, capable of encompassing both quantum systems and general relativity systems. This characteristic allows the theory to bypass many difficulties faced in the construction of quantum gravity, providing a seamless unification of quantum effects and classical gravity, and presenting a new research pathway.
References
[1]
Weinberg, S., Salam, A. and Glashow, S.L. (1979) Electroweak Theory. ReviewofModernPhysics, 53, 211-252.
[2]
Green, M.B., Schwarz, J.H. and Witten, E. (1987) Superstring Theory. Cambridge University Press.
[3]
Rovelli, C. and Vidotto, F. (2014) Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory. Cambridge University Press. https://doi.org/10.1017/cbo9781107706910
[4]
Ashtekar, A., Olmedo, J. and Singh, P. (2020) Quantum Gravity and Black Hole Singularities. PhysicalReviewLetters, 125, Article ID: 211301.
[5]
Witten, E. (2021) New Pathways in the Search for a Unified Theory. JournalofHighEnergyPhysics, 9, 34.
[6]
Oppenheim, J. (2023) A Postquantum Theory of Classical Gravity? PhysicalReviewX, 13, Article ID: 041040. https://doi.org/10.1103/physrevx.13.041040
[7]
Anupama, B. and Suresh, P.K. (2024) A Possible Solution to the Hubble Tension from Quantum Gravity. ClassicalandQuantumGravity, 41, Article ID: 035002. https://doi.org/10.1088/1361-6382/ad1a51
[8]
University of Copenhagen (2024) Scientists on the Hunt for Evidence of Quantum Gravity’s Existence at the South Pole. ScienceDaily, Mach 26, 2024.
[9]
Qiao, B. (2023) An Outline of the Grand Unified Theory of Gauge Fields. JournalofModernPhysics, 14, 212-326. https://doi.org/10.4236/jmp.2023.143016
[10]
Qiao, B. (2023) The Significance of Generalized Gauge Transformation across Fundamental Interactions. JournalofModernPhysics, 14, 604-622. https://doi.org/10.4236/jmp.2023.145035
[11]
Bi, Q. (2023) Large Scale Fundamental Interactions in the Universe. JournalofModernPhysics, 14, 1703-1720. https://doi.org/10.4236/jmp.2023.1413100
[12]
Bi, Q. (2024) The Gravitational Constant as the Function of the Cosmic Scale. JournalofModernPhysics, 15, 1745-1759. https://doi.org/10.4236/jmp.2024.1511078
[13]
Canbin, L. and Bin, Z. (2016, 2019) Introduction to Differential Geometry and General Relativity. 2nd Edition (Volume 3), Beijing Science Press. (In Chinese)
[14]
Zhao, Z. and Liu, W.B. (2010) Fundamentals of General Relativity, Tsinghua University Press.
[15]
Liu, L. and Zhao, Z. (2004) General Relativity. 2nd Edition, Higher Education Press.
[16]
John Doe, J.S. (2023) Principal Fiber Bundles in Gauge Theory. JournalofMathematicalPhysics, 64, Article ID: 083505.
[17]
Emily White, A.B. (2023) Applications of Principal Fiber Bundles in Quantum Field Theory. PhysicsReports, 898, 1-35.
[18]
Richard Black, S.G. (2023) Geometric Structures and Their Applications in Theoretical Physics. AnnalsofPhysics, 432, Article ID: 168539.
[19]
Michael Red, L.B. (2023) Topology and Principal Bundles in String Theory. Journal of High Energy Physics, 2023, 123.
[20]
Qi, B.H. (2021) Microscopic Theory of Universal Gravitation. See Science Net.
[21]
Schwartz, M.D. (2013) Quantum Field Theory and the Standard Model. Cambridge University Press. https://doi.org/10.1017/9781139540940
[22]
Choi, M., Okyay, M.S., Dieguez, A.P., Ben, M.D., Ibrahim, K.Z. and Wong, B.M. (2024) QRCODE: Massively Parallelized Real-Time Time-Dependent Density Functional Theory for Periodic Systems. ComputerPhysicsCommunications, 305, Article ID: 109349. https://doi.org/10.1016/j.cpc.2024.109349
[23]
Maldacena, J. and Susskind, L. (2022) Black Hole Entropy from the Quantum Gravitational Path Integral. JournalofHighEnergyPhysics, 2022, 1-34.
[24]
Rovelli, C. (2022) Loop Quantum Gravity: An Overview. LivingReviewsinRelativity, 25, 1-31.
[25]
Carrozza, S. and Girelli, F. (2023) The Emergence of Space and Time in Quantum Gravity. Physical Review D, 107, Article ID: 044021.
[26]
Hawking, S.W. and Hertog, T. (2023) Gravitational Waves and Quantum Gravity. PhysicalReviewLetters, 130, Article ID: 111302.
[27]
Almheiri, A. and Dong, X. (2023) Entanglement in Quantum Gravity. JournalofHighEnergyPhysics, 2023, 1-20.