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The deflection you are looking for is $\sim 1.7$ arc seconds, which should be within the seeing limits at a good site. It should also be within the resolution limits of a telescope with $\ge200$mm diameter primary. Having said that you will not be able to see it with the naked eye, you will need to be able to photography the star field during the eclipse ...

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In my opinion yes, mass affects volume. Instead of a cube, imagine a pyramid with a 3 sided base. All edges have the same length defined by the time to reflect light back and forth between the apexs. The number of smaller such pyramids that could be fit inside would increase with mass because the path of light would be bent. Bent light means bent space, ...

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If you can provide examples of numerical methods in GR you've seen/heard of that would help focus the question. From the article you linked to: "The technique keeps track of a vast number of quarks and gluons by describing the space and time inside a proton with a set of points that make up a 4D lattice". This almost gets to the main issue with Numerical ...

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