This hypothesis has an aim to originate two manifolds which are dark energy field and gravitational field and these both fields can go singularity related with Poincare Conjecture. If you would like to see more details about this subject which is mentioned above, you can look at the pdf below.
No. While knowledge of the grammatical and syntactical rules of the English language-in this instance-is easy to master and can be coded for use by a machine, meaning is trickier. The question just doesn't make sense. It would be more useful to learn general relativity.
The Poincaré conjecture has been proven. Therefor we know that just one kind of manifolds exists, which has the properties of a 3-sphere. This manifold has a homogenous scalar curvature. If our universe just has this structure, then it must be filled with a medium which generates such a scalar curvature.
Therefor a linkage between gravitation and dark energy to the Poincaré conjecture indeed may be given.
The medium, which then warps the space can be an overlay of dark energy and gravitation. There is one fact which confirms this hypothesis. The energy density of gravitational fields is negative. But an absolute negative energy density cannot exist. Therefor dark energy is needed to overcompensate the negative energy density of gravitational fields.
If we also consider the theory of Brans, Dicke, we see that such an energy density can cause a space curvature.
The omnipresent existence of dark energy leads to a closed universe and to a new cosmology. In this new cosmology gravitation only is a reduction of the dark energy background and gravitational waves are longitudinal excitations of this dark energy background.
Thank you all for valuable comments. this hypothesis just an approach to whether intersection of both gravitational field and dark energy field and in this intersection can possess dark matter( extra so called repulsive and attraction force)? furthermore, I will learn more about Brans and Dicke theory, thank you Mr Wolfgang Konle
Yes, the remarkable aspect of the theory of Jordan-Brans-Dicke is that a medium can have a direct impact on the scalar curvature of space.
This leads to the conjecture "dark energy warps space".
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