A whole different issue is what "exactly" is gravity. We call it a force, but that does not explain much.
Humans can observe the physical reality by means of our eyes. Our eyes have the capability to detect light, more specific photons. This capability is the result of millions years of a slowly changes. These changes to adapt to the environment we call evolution. At the same time when our eyes evolved also our brains evolved, which give us the capability to discover that the space surrounding us is not empty but filled which photons, which are the basic ingredients to see and observe.
For gravity such a similar picture exists. The capability that objects can respond to each other is caused by gravitons. We humans do not have this capability. As such the laws of nature that describe the movement of objects are not dependent about photons (the speed of light) but about gravitons (the speed of gravity).
Both photons and gravitons belong to particle physics i.e. quantum mechanics. General Relativity and Newton's Law are descriptions of the movement of objects. To try to unify both IMO does not make much sense.
Laws are descriptions of physical processes. As such no physical law can directly incorporate imaginary numbers because "imaginary parameters" do not exist. Objects exist. If you want improve the laws of nature than one of the first steps should be to describe some meta-law which defines the rules of "the laws of nature". This meta-law should also make a difference between what science is and what is speculation. IMO a lot what is written in the article "space Tangled Up in Spacetime" are suppositions or is purespeculation.
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