I fail to see why the light follows something like the blue line and not the green line on the attached image.
- Figure 1 - light bends around warped spacetime
Afaik. something similar happens with Earth when it cannot escape from the space warped by the Sun. Otherwise it would leave the Solar System on a straight line.
- Figure 2 - Sun bends the spacetime around itself, so Earth cannot escape - ref
I thought about these space warps. Maybe I am wrong, but I think it is possible to describe them with 4d coordinates, where the 4th dimension is the warp of the spacetime, or the depth of the gravity well, or something like that.
- Figure 3 - Travel in warped spacetime with 4 coordinates
So if we are traveling through warped spacetime, we experience that the distance is longer and the trip takes more time than we expected, because we travel in the 4th dimension as well, not just in the regular 3 dimensions. But with this model we should not end up in a different region of space than we planned if we go forward on a straight line.
What am I missing?
Note that I have not a clue about physics, so please try to explain it on a human language! xD