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I imagined a sort of physics textbook diagram, not real objects. There was no person, only an arrow indicating the applied force on the ball!
That's how I did it too. There is a sphere on a plane. A force is applied to the sphere, parallel to the plane. Neither the sphere nor the plane have a defined color, size, material, etc. Nothing specific pushed the sphere.
My job is often to mathematically model the things people say to me, and in those circumstances thinking like this is correct.
I don't think this way when I daydream, although the visual components of my daydreams are more like the feelings I get when I look at something than like concrete mental pictures.
Hello, fellow odd brain!
I remember when I was at school (this was 6th or 7th grade) and the teacher wrote
y = xand drew a diagonal line on a Cartesian plane. At that moment, I realized that the world was made of math and I was enlightened. I'm not exaggerating - the experience revolutionized the way I could think.The interesting thing to me is that I have worked with physicists who appear to be capable of even higher levels of abstraction than I am. If I read an equation, I need to think about its geometrical representation but they claim to think directly in terms of equations. (Pure mathematics, not the letters and numbers that make up the written equation.) I believe them because they can comprehend equations much faster than I can; they and I would go to talks where the presenter just put up slide after slide of equations and I would be lost almost immediately while they were able to follow along. I don't think that's simply because they're much smarter than I am, because I am otherwise generally able to match them intellectually.
I wish I had their brain type, I struggled in math to remember the formulas. I had a great time learning it, otherwise. Calculus was awesome, I had never considered measuring the rate of change of the rate of change and I got pretty excited. Set theory was great too.