Quantum G Theory: Unification of Gravity and SM via Torsion in G₂ Holonomy

Franklin Fredy Franco

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Quantum G Theory: Unification of Gravity and SM via Torsion in G₂ Holonomy

F. F. Franco

2026-06-15

https://doi.org/10.24108/preprints-3115552

Quantum G Theory (QGT), as an extension of M-theory, contributes to unifying quantum gravity and the Standard Model (SM) through compactification dualities on G₂-holonomy manifolds and quantum torsion H₃ of the Kalb-Ramond field. It introduces a geometrodynamic resonance field that reproduces SM particle rest masses via 11D SUGRA geometric-quantum coupling. Inspired by ancient philosophy, original root equations are generated, deriving cosmological constants: Λ, ρ_λ, Ω_m, Ω_dm, Ω_b, and H₀, as functions of critical parameters such as the graviton frequency (f_g) and cosmological frequency (f_Λ). Within this framework, fundamental constants are reproduced with unprecedented precision—consistent with Standard Model observations—enabling a unified quantum reformulation of the Einstein, Schwarzschild, Friedmann, and Maxwell equations, integrated with the Schrödinger equation through entropic connections — Hawking radiation — and AdS/CFT correspondence. Furthermore, the KR = ER = EPR conjecture is postulated, contributing to resolving the hierarchy problem and the cosmological constant problem

Ссылка для цитирования:

Franco F. F. 2026. Quantum G Theory: Unification of Gravity and SM via Torsion in G₂ Holonomy. PREPRINTS.RU. https://doi.org/10.24108/preprints-3115552

Список литературы

1. [1] J. Maldacena. “The Large N Limit of Superconformal Field Theories and Supergrav- ity”. Adv. Theor. Math. Phys., 2:231–252, 1998. doi:10.4310/ATMP.1998.v2.n2.a1.

2. [2] L. Randall and R. Sundrum. “A Large Mass Hierarchy from a Small Extra Dimen- sion”. Phys. Rev. Lett., 83:3370–3373, 1999. doi:10.1103/PhysRevLett.83.3370.

3. [3] F. F. Franco. “Unified Mathematical Model of General Relativity and Quantum Mechanics” G-MODEL. Postgraduate studies in Physics, Fac- ulty of Engineering, University of Zulia, Maracaibo - R.B. Venezuela, 2024.

4. doi:https://doi.org/10.5281/zenodo.16786387.

5. [4] Sicilian et al. “Probing the Milky Way’s Dark Matter Halo for the 3.5 keV Line”. The Astrophysical Journal, 905:146, 2020. doi:10.3847/1538-4357/abbee9.

6. [5] E. Cremmer, B. Julia, and J. Scherk. “Supergravity in 11 Dimensions”. Nucl. Phys. B, 147:105–131, 1978. doi:10.1016/0370-2693(78)90894-8.

7. [6] J. Maldacena and L. Susskind. “Cool Horizons for Entangled Black Holes”. Fortsch. Phys., 61:781–811, 2013. URL https://arxiv.org/abs/1306.0533.

8. [7] L. Susskind. “ER=EPR, GHZ, and the Consistency of Quantum Measurements”. Fortschritte der Physik, 64(1):72–83, 2016. doi:10.1002/prop.201500094.

9. [8] D. D. Joyce. “Compact Manifolds with Special Holonomy”. Oxford University Press, Oxford, 2000. ISBN 978-0-19-850601-0.

10. [9] B. S. Acharya and E. Witten. “Chiral Fermions from Manifolds of G2 Holonomy”. arXiv e-prints, 2001. doi:10.48550/arXiv.hep-th/0109152.

11. [10] E. Witten. “String Theory Dynamics in Various Dimensions”. Nucl. Phys. B, 443: 85–126, 1995. URL https://arxiv.org/abs/hep-th/9503124.

12. [11] J. D. Edelstein and G. E. Giribet. “Strings and Superstrings”. RBA Collectibles, Barcelona, 2016. ISBN 9788447383870.

13. [12] M. Kalb and P. Ramond. “Classical Direct Interstring Action”. Phys. Rev. D, 9: 2273–2284, 1974. doi:10.1103/PhysRevD.9.2273.

14. [13] F. F. Franco. “Quantum G Theory”. Leanpub, 2021. ISBN 9789801821984. doi:10.5281/zenodo.16787223. URL https://leanpub.com/quntumteheoygi.

15. [14] P. K. Townsend. “p-Brane Democracy”. Fortsch. Phys., 64:24, 1995. URL https: //arxiv.org/abs/hep-th/9507048.

16. [15] J. G. Polchinski. “Dirichlet-Branes and Ramond-Ramond Charges”. Phys. Rev. Lett., 75:4724–4727, 1995. doi:10.1103/PhysRevLett.75.4724.

17. [16] J. G. Polchinski. “String Theory, Volume I”. Cambridge University Press, Cambridge, 1998. ISBN 9780521633031.

18. [17] E. László. “Science and the Akashic Field: An Integral Theory of Everything”. Inner Traditions, Rochester, 2007. ISBN 9781594771811.

19. [18] J. Wheeler and G. Breit. “Collision of Two Light Quanta”. Phys. Rev., 46:1087, 1934. doi:10.1103/PhysRev.46.1087.

20. [19] Ramtha. “The White Book”. JZK Publishing, USA, 2018. ISBN 9781578734511.

21. [20] A. Einstein and N. Rosen. “The Particle Problem in the General Theory of Relativity”.

22. Phys. Rev., 48:73–77, 1935. doi:10.1103/PhysRev.48.73.

23. [21] A. Einstein, B. Podolsky, and N. Rosen. “Can Quantum-Mechanical Descrip- tion of Physical Reality Be Considered Complete?”. Phys. Rev., 47:777–780, 1935. doi:10.1103/PhysRev.47.777.

24. [22] J. A. Rosasco. “Fundamentals of Fluid Mechanics”. UNLP, Argentina, 2012. ISBN 978-9871456321.

25. [23] O. J. Pike et al. “A Photon-Photon Collider in a Vacuum Hohlraum”. Nature Pho- tonics, 8:434, 2014. doi:10.1038/nphoton.2014.95.

26. [24] E. A. Cornell and C. E. Wieman. “Bose-Einstein Condensation in a Dilute Gas”. Int. J. Mod. Phys. B, 16:4503, 2002. doi:https://doi.org/10.1142/S0217979202014681.

27. [25] L. V. Hau et al. “Light Speed Reduction to 17 m/s in an Ultracold Atomic Gas”. Nature, 397:594, 1999. doi:10.1038/17561.

28. [26] J. Klaers et al. “Bose-Einstein Condensation of Photons in an Optical Microcavity”. Nature, 468:545, 2010. doi:10.1038/nature09567.

29. [27] J. Klaers et al. “Thermalization of a Two-Dimensional Photonic Gas in a ’White Wall’ Photon Box”. Nature Phys., 6:512, 2010. URL https://www.nature.com/ articles/nphys1680.

30. [28] U. Delic et al. “Levitated Cavity Optomechanics in High Vacuum”. Quantum Sci. Technol., 5:025006, 2020. doi:10.1088/2058-9565/ab7989.

31. [29] S. Inouye et al. “Observation of Heteronuclear Feshbach Resonances in a Bose-Fermi Mixture”. Phys. Rev. Lett., 93:183201, 2004. doi:10.1103/PhysRevLett.93.183201.

32. [30] B. Haisch A. Rueda and R.Tunget. “Gravity and the Quantum Vacuum Inertia Hypothesis I”. Found. Phys. Lett., 14:1, 2001. doi:https://doi.org/10.48550/arXiv.gr- qc/0108026.

33. [31] CODATA Task Group on Fundamental Constants. “CODATA Recommended Values of the Fundamental Physical Constants”, 2022. URL https://physics.nist.gov/ cuu/Constants/.

34. [32] Particle Data Group. “Review of Particle Physics”. Phys. Rev. D, 110:030001, 2024. doi:10.1103/PhysRevD.110.030001.

35. [33] L. D. Landau. “On the Theory of Phase Transitions”. Zh. Eksp. Teor. Fiz., 7:19–32, 1937. English translation in Ukr. J. Phys. 53, Special Issue (2008).

36. [34] R. Bousso and J. Polchinski. “Quantization of Four-Form Fluxes and Dynamical Neutralization of the Cosmological Constant”. JHEP, 06:006, 2000. doi:10.1088/1126- 6708/2000/06/006.

37. [35] Planck Collaboration. “Planck 2018 Results. VI. Cosmological Parameters”. Astron. Astrophys., 641:A6, 2020. doi:10.1051/0004-6361/201833910.

38. [36] S. Weinberg. “The Cosmological Constant Problem”. Rev. Mod. Phys., 61:1–23, 1989. doi:10.1103/RevModPhys.61.1.

39. [37] A. Friedmann. “Über die Krümmung des Raumes”. Z. Phys., 10:377, 1922. doi:10.1007/BF01332580.

40. [38] R. L. Bryant. “Metrics with Exceptional Holonomy”. Ann. Math., 126:525–576, 1989. doi:https://doi.org/10.2307/1971360.

41. [39] V. Balasubramanian et al. “Systematics of Moduli Stabilisation in Calabi-Yau Flux Compactifications”. JHEP, 0503:007, 2005. doi:10.1088/1126-6708/2005/03/007.

42. [40] G. Bertone, D. Hooper, and J. Silk. “Particle Dark Matter: Evidence, Candidates and Constraints”. Phys. Rep., 405:279–390, 2005. doi:10.1016/j.physrep.2004.08.031.

43. [41] eBOSS Collaboration. "The Completed SDSS-IV Extended Baryon Oscilla- tion Spectroscopic Survey: Cosmological Implications from two Decades of Spec- troscopic Surveys at the Apache Point Observatory". arXiv e-prints, 2020. doi:10.48550/arXiv.2007.08991.

44. [42] L. Hui et al. “Ultralight Scalars as Cosmological Dark Matter”. Phys. Rev. D, 95: 043541, 2017. doi:10.1103/PhysRevD.95.043541.

45. [43] I. L. Shapiro. “Physical Aspects of the Space-Time Torsion”. Phys. Rep., 357:113–240, 2002. doi:10.1016/S0370-1573(01)00030-8.

46. [44] H. Ooguri and C. Vafa. “On the Geometry of the String Landscape and the Swamp- land”. Nucl. Phys. B, 766:21–33, 2007. doi:10.1016/j.nuclphysb.2006.10.033.

47. [45] C. Vafa. “The String Landscape and the Swampland”, 2005. URL https://arxiv. org/abs/hep-th/0509212.

48. [46] P. Amaro-Seoane and LISA Collaboration. “Laser Interferometer Space Antenna”. arXiv e-prints, 2017. doi:10.48550/arXiv.1702.00786.

49. [47] CMB-S4 Collaboration. “CMB-S4 Science Book, First Edition”. arXiv e-prints, 2016. doi:10.48550/arXiv.1610.02743.

50. [48] J. Halverson and D. Morrison. “G2 Compactifications in M-Theory”. JHEP, 04:047, 2017.

51. doi:https://doi.org/10.48550/arXiv.1412.4123.

52. [49] K. Schwarzschild. “Über das Gravitationsfeld eines Massenpunktes nach der Ein- steinschen Theorie”. Sitzungsber. Preuss. Akad. Wiss., pages 189–196, 1916. URL https://arxiv.org/abs/physics/9905030.

53. [50] L. H. Kauffman. “ER=EPR, Entanglement Topology and Tensor Networks”. Proc. SPIE, 12093:1209302, 2022. doi:https://doi.org/10.48550/arXiv.2203.09797.

54. [51] C. Rovelli. “Quantum Gravity”. Cambridge University Press, Cambridge, 2004. ISBN 978-0-521-83733-0.

55. [52] T. Banks and K. M. Zurek. “Conformal description of near-horizon vacuum states”. Phys. Rev. D, 104:126026, 2021. doi:10.1103/PhysRevD.104.126026.

56. [53] M. B. Green, J. H. Schwarz, and E. Witten. “Superstring Theory”. Cambridge University Press, Cambridge, 1987. ISBN 978-0-521-32384-0.

57. [54] M. Kaku. “Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension”. Oxford University Press, Barcelona, 2007. ISBN 9788484328964.

58. [55] W. Heisenberg. “Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik”. Z. Phys., 43:172–198, 1927. doi:10.1007/BF01397280.

59. [56] T. Kaluza. “Zum Unitätsproblem der Physik”. Sitzungsberichte Preußische Akademie der Wissenschaften, Mathematisch-Physikalische Klasse, pages 966–972, 1921. URL https://www.vttoth.com/DOCUMENTS/Kaluza-1921.pdf.

60. [57] O. Klein. “Quantum Theory and Five-Dimensional Theory of Relativity”. Z. Phys., 37:895, 1926. doi:10.1007/BF01397481.

61. [58] W. Heisenberg. “The Physical Principles of the Quantum Theory”. University of Chicago Press, Chicago, 1930. ISBN 978-0-486-60113-7.

62. [59] P. A. M. Dirac. “The Quantum Theory of the Electron”. Proc. Roy. Soc. Lond. A, 117:610–624, 1928. doi:10.1098/rspa.1928.0023.

63. [60] R. P. Feynman. “Space-Time Approach to Quantum Electrodynamics”. Phys. Rev., 76:769–789, 1949. doi:10.1103/PhysRev.76.769.

64. [61] A. H. Compton. “A Quantum Theory of the Scattering of X-Rays”. Phys. Rev., 21: 483–502, 1923. doi:10.1103/PhysRev.21.483.

65. [62] P. A. M. Dirac. “On the Annihilation of Electrons and Protons”. Math. Proc. Camb. Phil. Soc., 26:361–375, 1930. doi:10.1017/S0305004100016091.

66. [63] L. Susskind. “The World as a Hologram”. J. Math. Phys., 36:6377–6396, 1995. doi:10.1063/1.531249.

67. [64] A. Soter. “Free-Falling Antihydrogen Reveals the Effect of Gravity on Antimatter”. Nature, 621:699–700, 2023. doi:10.1038/d41586-023-02930-w.

68. [65] S. Hawking and R. Penrose. “The Singularities of Gravitational Collapse and Cos- mology”. Proc. Roy. Soc. Lond. A, 314:529–548, 1970. doi:10.1098/rspa.1970.0021.

69. [66] J. D. Barrow and F. J. Tipler. “The Anthropic Cosmological Principle”. Oxford University Press, Oxford, 1988. ISBN 978-0-19-282147-8.

70. [67] A. Aspect, J. Dalibard, and G. Roger. “Experimental Test of Bell’s Inequal- ities Using Time-Varying Analyzers”. Phys. Rev. Lett., 49:1804–1807, 1982. doi:10.1103/PhysRevLett.49.1804.

71. [68] H. Puthoff, D. Bohm, I. Bentov, R. Targ, K. Pribram, and W. McDonnell. “Analysis and Assessment of Gateway Process”. Technical report, Advanced Experiments of the American Central Intelligence Agency (CIA), Washington, 1983. URL https: //www.cia.gov/readingroom/docs/CIA-RDP96-00788R001700210016-5.pdf.

72. [69] T. S. Kuhn. “The Structure of Scientific Revolutions”. University of Chicago Press, Chicago, 1996. ISBN 9780226458083.

73. [70] R. Penrose. “Shadows of the Mind: A Search for the Missing Science of Conscious- ness”. Oxford University Press, Oxford, 1994. ISBN 978-0-19-853978-0.

74. [71] R. Penrose and S. Hameroff. “Consciousness in the Universe: A Review of the ’Orch OR’ Theory”. Phys. Life Rev., 11:39–78, 2013. doi:10.1016/j.plrev.2013.08.002.

75. [72] R. Penrose. “The Emperor’s New Mind: Concerning Computers, Minds, and the Laws of Physics”. Oxford University Press, Oxford, 1989. ISBN 978-0-19-851973-7.

76. [73] David Bohm. “Wholeness and the Implicate Order”. Routledge, 1980. ISBN 0-7100- 0971-2.

77. [74] M. Kafatos and R. Nadeau. “The Conscious Universe: Parts and Wholes in Physical Reality”. Springer, New York, 2000. ISBN 978-0-387-98865-8.

78. [75] A. Goswami. “The Self-Aware Universe: How Consciousness Creates the Material World”. Tarcher Perigee, New York, 1993. ISBN 978-0-87477-798-7.

79. [76] R. Lanza and B. Berman. “Biocentrism: How Life and Consciousness Are the Keys to Understanding the True Nature of the Universe”. BenBella Books, Dallas, 2010. ISBN 978-1-935251-74-3.

80. [77] L. Shamir. “An Empirical Consistent Redshift Bias: A Possible Direct Observation of Zwicky’s TL Theory”. Particles, 7:703–730, 2024. doi:10.3390/particles7030041.

81. [78] J. Gleick. “Chaos: Making a New Science”. Penguin Books, New York, 2008. ISBN 978-0-14-311345-4.

82. [79] R. Sheldrake. “The Presence of the Past: Morphic Resonance and the Habits of Nature”. Park Street Press, Rochester, 1995. ISBN 978-0-89281-537-1.

83. [80] J. Barbour. “The End of Time: The Next Revolution in Physics”. Oxford University Press, Oxford, 1999. ISBN 978-0-19-514592-2.

84. [81] Ramtha. “Parallel Lifetimes: Fluctuations in the Quantum Field”. JZK Publishing, Yelm, Wash., 2003. ISBN 9781578731152.

85. [82] A. Einstein. “On the theory of special and general relativity”. Altaya, Barcelona, 1998. ISBN 9788448712525.

86. [83] Ramtha. “A Master’s Reflection on the History of Humanity, Part I: Human Civi- lization, Origins and Evolution”. JZK Publishing, Yelm, Washington, U.S.A., 2001. ISBN 9781578730407.

87. [84] G. ’t Hooft. “Dimensional Reduction in Quantum Gravity”. arXiv e-prints, 1993. doi:10.48550/arXiv.gr-qc/9310026.

88. [85] S. W. Hawking and G. F. R. Ellis. “The Large Scale Structure of Space-Time”. Cambridge University Press, Cambridge, 1973. ISBN 978-0-521-09906-6.

89. [86] S. K. Lamoreaux. “Demonstration of the Casimir Force”. Phys. Rev. Lett., 78:5, 1997. doi:10.1103/PhysRevLett.78.5.

90. [87] D. K. Campbell A. Stange and D. J. Bishop. “Science and Technology of the Casimir Effect”. Phys. Today, 74:42, 2021.

91. doi:10.1063/PT.3.4656.

92. [88] B. Haisch, A. Rueda, and H. Puthoff. “Inertia as a Zero-Point-Field Lorentz Force”. Phys. Rev. A, 49:678, 1994. doi:10.1103/PhysRevA.49.678.

93. [89] B. Haisch, A. Rueda, and Y. Dobyns. “Update on an Electromagnetic Basis for Inertia, Gravitation, the Principle of Equivalence, Spin and Particle Mass Ratios”. AIP Conf. Proc., 699:1121, 2003. doi:10.1063/1.1541386.

94. [90] A. Rueda and B. Haisch. “Contribution to Inertial Mass by Reaction of the Vacuum to Accelerated Motion”. Found. Phys., 28:1057, 1998. doi:10.1023/A:1018893903079.

95. [91] B. Greene. “The Elegant Universe: Superstrings, Hidden Dimensions”. W. W. Norton & Company, New York, 2010. ISBN 9780393338102.

96. [92] Abbott and LIGO Scientific Collaboration and Virgo Collaboration. “Observation of Gravitational Waves from a Binary Black Hole Merger”. Physical Review Letters, 116(6):061102, 2016. doi:10.1103/PhysRevLett.116.061102.

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