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, , is derived; the actual observed results are compared to this equation (calculated Ω M = 0.33 vs. observed Ω M = 0.31); the model might explain the origin of dark energy and dark matter of the evolution of the universe.
|ScienceOpen disciplines:||General relativity & Quantum cosmology, Theoretical physics|
|Keywords:||Quantum Gravity, Cosmology, General Relativity|