Is the Inward Flow of Space in the River Model Physically Detectable?

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Benido
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TL;DR
The River Model describes space as flowing toward a gravitating mass at the local escape velocity—about 11.2 km/s at Earth's surface. If this represents a real physical flow rather than just a coordinate description, should such a large velocity produce a measurable effect?
In the River Model of Gravity, space is described as flowing inward toward a mass at the local escape velocity. At the Earth's surface this would be about 11.2 km/s.

If this inward flow represents a real physical motion of space rather than simply a coordinate description, should we expect some experimentally observable effect from such a large velocity?

If not, what prevents the flow from being locally detectable?
 
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Benido said:
TL;DR: The River Model describes space as flowing toward a gravitating mass at the local escape velocity—about 11.2 km/s at Earth's surface. If this represents a real physical flow rather than just a coordinate description, should such a large velocity produce a measurable effect?
Can you cite technical references that propose and construct this "real physical flow"?
And for those of us unfamiliar with the river model of gravity, here are two papers for background:
The river model of black holes
A river model of space
 
Benido said:
In the River Model of Gravity, space is described as flowing inward toward a mass at the local escape velocity.
Yes, but this "flow" is a mathematical convenience and does not describe anything physical. The river model is not intended to be a claim about what is "really happening".

Benido said:
If this inward flow represents a real physical motion of space
It doesn't.

Benido said:
should we expect some experimentally observable effect from such a large velocity?
Not if you mean observable effects that aren't predicted by standard General Relativity.

Benido said:
what prevents the flow from being locally detectable?
The fact that it's not a real physical thing in the first place.