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Snow Globe Metric

In snow globe theory, there is no ether; space and nonlocal scales depend on the observer's position. How can this be accounted for in a one-body system?
Let the radius of the local point of position be Rb, T = M·G/c². This yields the following metric:

ds² = c²·dt²·(1+T/ Rb)²/(1+T/ R)²-dr²·(1+T/ R)²/(1+T/ Rb)²-r²·(dϑ²+dφ²·sin(ϑ)²)

Locally, this metric leads to the Minkowski metric; as Rb approaches infinity, it would be the Schwarzschild metric with snow globe potential.
Due to the antimetry, this metric applies only in the direction of the star. For R greater than Rb, the form is as follows:
ds² = c²·dt²·(1+T/ R)²/(1+T/Rb)²-dr²·(1+T/ Rb)²/(1+T/ R)²-r²·(dϑ²+dφ²·sin(ϑ)²)
The potentials, as well as the factors associated with them, are replaced by their reciprocals.
Note:
There may be an additional dependence of R and T on Rb; for instance, involving the ghost mass of the central star.

Ludwig Resch