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Dark energy is a fundamental constituent of our universe, its status in thecosmological field equation should be equivalent to that of gravity. Here weconstruct a dark energy and matter gravity coupling (DEMC) model of cosmologyin a way that dark energy and gravity are introduced into the cosmologicalfield equation in parallel with each other from the beginning. The DEMCuniverse possesses a composite symmetry from global Galileo invariance andlocal Lorentz invariance. The observed evolution of the universe expansion rateat redshift z>1 is in tension with the standard LCDM model, but can be wellpredicted by the DEMC model from measurements of only nearby epochs. The so farmost precise measured expansion rate at high z is quite a bit slower than theexpectations from LCDM, but remarkably consistent with that from DEMC. It ishoped that the DEMC scenario can also help to solve other existing challengesto cosmology: large scale anomalies in CMB maps and large structures up toabout 10^3 Mpc of a quasar group. The DEMC universe is a well definedmechanical system. From measurements we can quantitatively evaluate its totalrest energy, present absolute radius and expanding speed.

Cosmology with Coupled Gravity and Dark Energy