Locomotion

Dictionary meaning of Locomotion is ability to move from one place to another. Parmenides ideas about locomotion and Zeno's paradoxes arise because we assume smooth motion. In reality smooth i.e. continuous motion do not exist.

Quantum Theory is compatible with discrete motion. Take the example of hydrogen atom, the movement of electron and proton, consists of discrete jumps from one energy state to another. In reality free electrons or protons may not exist. Each of these may have an singular opposite. Each electron and proton live in pairs. When they are far apart the jumps are very infinitesimal. But being so is not an argument for continuous motion. Though it may be very difficult to identify at any instance one electron will interact only with one proton. And movement is in jumps.

Curvature of the space by gravitation by General Relativity is an explanation if we accept space time coordinate systems. Special Relativity has lot of problems. These problems will obviously leak into General Relativity.

Motion and space may be concepts created by our own brain. This is not an argument against motion or space, that such things do not exist. There may be some type of activity where our human brain interprets those as motion and space.

Consider the simple case of two objects moving towards each other. If there is no independent observer the movement of one object will not have any bearing with the other - here we disregard gravitation.

In usual practice, we consider that the independent observer have nothing to do with the motion of the two objects. But is it correct? There is no motion without the observer.