So I’m familiar with mass affecting space time, notably the grided flat sheet representing it. All objects with mass bend this sheet. The effects of massive objects are represented by the object creating wells, with the well being deeper and steeper the more massive the object is. I know this isn’t the actual explanation, but it helps visually.
I know gravity is not a force, and the reason mass “attracts” other objects is because those objects are going in the direction of the distorted space time created by the “attracting” object.
So why does mass cause a greater acceleration the more massive the attracting object is? What difference would it make if the gravity well was “shallow” or “deep”? Gravity isn’t a force, so what is actually pulling an object faster into the well depending on its depth?
In: 2
The more mass something has the more spacetime will be locally curved.
In this interpretation we perceive acceleration as the deviation between the path through curved space time and what a path across flat space time would look like.
Hence, the stronger the local curvature is, the stronger the deviation to a flat space time, and therefore we perceive a stronger acceleration
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