How can something move through infinitely divisible space?

I know of Zeno's paradox, but let me reformulate the question differently.

The space between two points is apparently infinitely divisible. Yet, things can move from one point to another, implying that they do cross an infinitely divisible amount of space; an infinite distance between two points of which the distance is only relative to one another. How is it only relative? If there was nothing at all in the universe except one singular particle, it could not be in motion, for motion can only exist through a relation between two subjects; a lone particle would not be moving at all in relation to anything, it would hence be static, motionless. If there is no motion, there can be no time, since time can only exist in relation to motion; if there is no motion, there is no measure of time and a moment becomes timeless.

We can quickly see that the notion of space and time are paradoxical. For infinite space to be crossed one would need infinite time, yet for time to exist space must be crossed in finite manner; there must be a change of state in space, there must be a before and an after. Two infinites must be made finite for either to exist.

This implies that space and time are only infinite in conceptual terms. Only when both are made finite can motion exist. If both are infinite, motion cannot materialize, and the universe would have never become anything.

Under that light, space might be a kind of three dimensionally-spatial check board, and time regulates the movement of particles, where time changes the position of every single particle in the universe, reorganizing a seemingly chaotic game of chess to the sound of a repetitive cosmic heartbeat. Why would everything move with every passing instant? Because if any of its components were to be singularly stationary, it would cease to exist in a universe of causality, for that which does nothing impacts nothing, and that which is nothing cannot be impacted. In a way, this check board-like but chaotic pattern is defined by where each chess piece is standing at a given moment, and by where they are not standing, and with each cosmic heart beat the laws of physics force them to move in the only way they possibly could as the presence of each piece directly impacts where each may stand after the following beat.

At any given moment, the universe is one giant mathematical equation, with only one possible result. When the result is obtained, a beat occurs, and a new equation is to be solved. If you could look at the placement of every piece in the universe, and if you knew the laws of physics, you could resolve the equation and move on to the next beat. For every result, a new equation emerges, as everything has simply changed position and the laws of physics dictate that they cannot stay still lest they cease to exist; they must all move once more according to its rules, to the rythm. The equation is solved, and the beat beats again.

Zeno wondered how a moving arrow could be moving at all, if at any specific instant it stood motionless. But the laws of physics would provide an answer to this question. Everything at once can be stationary for a moment, but the laws of physics dictate where everything will be next anyway as everything is interconnected and nothing may remain stationary without everything being stationary. Every single instant inherently contains the information needed to determine what comes next, or what came before, because everything moves at once and under the same mathematical rules.

Space and time are finite because they must be for motion to exist, and everything must be in motion otherwise what would be motionless would be without a value, it would have no presence. Since everything is in motion and nothing can stand on its own motionless, everything impacts everything and the equation becomes linear, unavoidably solvable, and results in a step forward to a new equation.

What do you think?