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
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 integratabl...
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| Format: | Article |
| Language: | English |
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ScienceOpen
2016-09-01
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| Series: | ScienceOpen Research |
| Online Access: | https://www.scienceopen.com/document?vid=27ffb33f-f6eb-4638-8316-9f74d68ebae1 |
| _version_ | 1797896891197816832 |
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| author | Jackie Liu |
| author_facet | Jackie Liu |
| author_sort | Jackie Liu |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-04-10T07:50:00Z |
| format | Article |
| id | doaj.art-8a4920d5f2ff41e382fc084170074ebe |
| institution | Directory Open Access Journal |
| issn | 2199-1006 |
| language | English |
| last_indexed | 2024-04-10T07:50:00Z |
| publishDate | 2016-09-01 |
| publisher | ScienceOpen |
| record_format | Article |
| series | ScienceOpen Research |
| spelling | doaj.art-8a4920d5f2ff41e382fc084170074ebe2023-02-23T10:20:50ZengScienceOpenScienceOpen Research2199-10062016-09-0110.14293/S2199-1006.1.SOR-PHYS.A4HPPH.v1A 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 ΩΛJackie Liu 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. https://www.scienceopen.com/document?vid=27ffb33f-f6eb-4638-8316-9f74d68ebae1 |
| spellingShingle | Jackie Liu 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 ScienceOpen Research |
| title | 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 |
| title_full | 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 |
| title_fullStr | 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 |
| title_full_unstemmed | 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 |
| title_short | 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 |
| title_sort | 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 |
| url | https://www.scienceopen.com/document?vid=27ffb33f-f6eb-4638-8316-9f74d68ebae1 |
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