I was playing with the thought experiment of modeling gravity as a repulsive force instead of an attractive force. That is, we perceive gravity as the attraction two bodies of mass exert on each other. Can you accurately model the same end result using no (gravitational) force exerted between bodies of mass and instead use only a repulsive force between a body of mass and another unknown substance.
For example, assume there is a field (it helps to imagine this in 2 dimensions at first) of some substance which has the property of repelling objects of mass and repelling itself. The field is evenly distributed. Assume it extends indefinitely.
Now drop a body of mass in the field. The substance will be forced away from the body, but the body's repulsive force acting on individual particles of the substance will weaken with distance from it. This results in a least dense region of the substance immediately surrounding the body, and increasing density as you move away from it. This trend of increasing density continues throughout the entire field. As far away as you like to test, you will still see denser regions one step further away from the body. Also note that no matter where in the field the body may be moved, it will feel an equal force from the sum of the individual particles throughout the entire field.
Next, drop a second body of mass in the field some distance away from the first. The field feels repulsion from the body and is dispersed in a fashion similar to the first with one difference. The combined forces from the two bodies create regional minimum densities along a line drawn directly between the two (think saddle). Minimum densities means fewer particles, which means less force exerted on each body from those spaces. Meanwhile forces being exerted from the rest of the field are relatively stronger, meaning when the sum of forces from the entire field is applied to each body, it results in a force on each in a direction along that previously established line in the direction of the other body.
This is a lot like those black and white pictures where you either see the image formed by the black or you see the image formed by the white. I've done a lot of thinking about this for myself, but I'm interested to see how far other imaginations can take this concept before it breaks down.
For example, assume there is a field (it helps to imagine this in 2 dimensions at first) of some substance which has the property of repelling objects of mass and repelling itself. The field is evenly distributed. Assume it extends indefinitely.
Now drop a body of mass in the field. The substance will be forced away from the body, but the body's repulsive force acting on individual particles of the substance will weaken with distance from it. This results in a least dense region of the substance immediately surrounding the body, and increasing density as you move away from it. This trend of increasing density continues throughout the entire field. As far away as you like to test, you will still see denser regions one step further away from the body. Also note that no matter where in the field the body may be moved, it will feel an equal force from the sum of the individual particles throughout the entire field.
Next, drop a second body of mass in the field some distance away from the first. The field feels repulsion from the body and is dispersed in a fashion similar to the first with one difference. The combined forces from the two bodies create regional minimum densities along a line drawn directly between the two (think saddle). Minimum densities means fewer particles, which means less force exerted on each body from those spaces. Meanwhile forces being exerted from the rest of the field are relatively stronger, meaning when the sum of forces from the entire field is applied to each body, it results in a force on each in a direction along that previously established line in the direction of the other body.
This is a lot like those black and white pictures where you either see the image formed by the black or you see the image formed by the white. I've done a lot of thinking about this for myself, but I'm interested to see how far other imaginations can take this concept before it breaks down.