International E-publication: Publish Projects, Dissertation, Theses, Books, Souvenir, Conference Proceeding with ISBN.  International E-Bulletin: Information/News regarding: Academics and Research

The unified energy as vacuum quintessence in wave equations

Author Affiliations

  • 1Département des Sciences exactes, École Normale Supérieure, Université Marien Ngouabi, Brazzaville, Congo

Res. J. Physical Sci., Volume 5, Issue (3), Pages 1-6, April,4 (2017)


The vacuum composition determination is a great challenge in field theories. The unified field expression is yet less. Here, we completed a previous gauge field theory we established from the wave equations. This postulated the unified field manifestation from the results foreseeing that any boson is a fermion-antifermion couple. Exploring expressions defining these components, it appeared that the vacuum is stable in only two natures of fundamental fermions; otherwise it is instable. The first nature defines matter fermions generated by any particle while the second implies dark matter fermions. We determined dark particles gauge and field expressions applying the space-time symmetry in the gauge construction procedure previously got. These correspond to imaginary masses and charges. It is shown that dark particles travel at a velocity greater than that of the light to have such characteristics. Examining the simultaneous gauge and field invariances, we found that the vacuum must be defined as an elastic medium divisible in cells to explain the field propagation. These have internal properties in which the existence of a magnetic like static field. The electric like field is dynamic and admit quantized solutions. We argued that this defines the unified field and the vacuum is structured with unified matter. The general solutions of the four fundamental fields are given. We ended by showing that radiations define the frontier between matter and dark matter.


  1. Sriramkumar L. and Padmanabhan T. (2002). Probes of the vacuum structure of quantum fields in classical backgrounds. Int. J. Mod. Phys. D, 11(1), 1-34., undefined, undefined
  2. Ferreira P.M. (2016). The vacuum structure of the Higgs complex singlet-doublet model. Phys. Rev. D, 94(9), 096011., undefined, undefined
  3. Marklund M. and Lundin J. (2009). Quantum Vacuum Experiments Using High Intensity Lasers. Eur. Phys. J., D, 55(2), 319-326., undefined, undefined
  4. Jaffe R.L. (2005). The Casmir Effect and the Quantum Vacuum. Phys.Rev. D, 72(2), 021301., undefined, undefined
  5. Laperashvili L.V., Nielsen H.B. and Das C.R. (2016). New results at LHC confirming the vacuum stability and Multiple Point Principle. Int. J. Mod. Phys. A, 31(8), 1650029., undefined, undefined
  6. Hollik Wolfgang G. (2016). A new view on vacuum stability in the MSSM. JHEP 08, 126., undefined, undefined
  7. Wesson P.S. (2006). Vacuum Instability, Found. Phys. Lett., 19(3), 285-291., undefined, undefined
  8. Alcaniz J.S. and Lima J.A.S. (2005). Interpreting Cosmological Vacuum Decay. Phys. Rev. D, 72(6), 063516., undefined, undefined
  9. Labun L. and Rafelski J. (2009). Vacuum Decay Time in Strong External Fields. Phys.Rev., D, 79(5), 057901., undefined, undefined
  10. Di Vita S. and Germini C. (2016). Electroweak vacuum stability and inflation via non-minimal derivative couplings to gravity. Phys. Rev. D, 93(4), 045005., undefined, undefined
  11. White Harold, Vera Jerry, Bailey Paul, March Paul, Lawrence Tim, Sylvester Andre and Brady David (2015). Dynamics of the Vacuum and Casimir Analogs to the Hydrogen Atom. J. Mod. Phys. 6, 1308-1320., undefined, undefined
  12. De Lorenci V.A., Ribeiro C.C.H. and Silva M.M. (2016). Probing quantum vacuum fluctuations over a charged particle near a reflecting wall. Phys. Rev., D, 94(10), 105017., undefined, undefined
  13. Kim Young-Wan, Lee Kang-Ho and Kang K. (2014). Vacuum-Fluctuation-Induced Dephasing of a Qubit in Circuit Quantum Electrodynamics. J. Phys. Soc. Jpn. 83(7), 073704., undefined, undefined
  14. Ma Tian and Wang Shouhong (2015). Unified Field Equations Coupling Four Forces and Principle of Interaction Dynamics. DCDS-A, 35(3), 1103-1138., undefined, undefined
  15. Pandres D. and Green Edward L. (2003). Unified Field Theory From Enlarged Transformation Group. The Consistent Hamiltonian. Int. J. Theor. Phys. 42(8), 1849-1873., undefined, undefined
  16. Moukala L.M. and Nsongo T. (2017). A Maxwell like theory unifying ordinary fields. Res. J. Engineering Sci. 6(2), 20-26., undefined, undefined