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A quantum theory of spacetime in spinor formalism and the physical reality of cross-ratio representation: the equation of density parameters of dark energy, matter, and ordinary matter is derived: ΩM2 = 4 Ωb ΩΛ

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      ABSTRACT

      By theorizing the physical reality through the deformation of an arbitrary cross-ratio, we leverage Galois differential theory to describe the dynamics of isomonodromic integratable system. We found a new description of curvature of spacetime by the equivalency of isomonodromic integratable system and Penrose’s spinor formalism of general relativity. Using such description, we hypothetically quantize the curvature of spacetime (gravity) and apply to the problem of the evolution of the universe. The Friedmann equation is recovered and compared so that the mathematical relationship among dark energy, matter (dark matter + ordinary matter), and ordinary matter, ΩM2≃4ΩbΩΛ, is derived; the actual observed results are compared to this equation (calculated ΩM = 0.33 vs. observed ΩM = 0.31); the model might explain the origin of dark energy and dark matter of the evolution of the universe.

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      Most cited references 9

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      Spinors A Mathematica package for doing spinor calculus in General Relativity

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        Galois theory of parameterized differential equations and linear differential algebraic groups

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          An introduction to modern astrophysics

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            Author and article information

            Affiliations
            Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA, USA
            Author notes
            [* ]Corresponding author’s e-mail address: jackieliu0@ 123456gmail.com
            Contributors
            (View ORCID Profile)
            Journal
            SOR-PHYS
            ScienceOpen Research
            ScienceOpen
            2199-1006
            27 August 2016
            25 September 2016
            : 0 (ID: 27ffb33f-f6eb-4638-8316-9f74d68ebae1 )
            : 0
            : 1-11
            3802:XE
            10.14293/S2199-1006.1.SOR-PHYS.A4HPPH.v1
            © 2016 J. C. H. Liu

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

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