The right hand rule CAN be about the force on a wire, and if we are talking about high voltage lines, it is an important calculation.

However, the right hand rule applies to electrical/magnetic interactions. Like the above mentioned caterpillar drive.

We know so little about the construction / shape of the planet we live on, that everything we say here is just mere conjecture. I can point out how Newton/Cavendish failed, but i cannot say what is so.

I hope we start exploring real science soon.