It is widely accepted that the solutions to the dilemma of explaining physical movement (commonly known as Zeno's Paradoxes), lies in assuming that all physical movement is comprised of a continuous, and contiguous series of 'infinitesimal' little movements, which together provide "perfectly continuous" and seamless movement.
The mathematics of calculus has been used to show that we can traverse an infinite series of such movements in finite time, thus enabling our everyday experience of physical movement.
This continuity of movement enables and fuels a machine world-view, in that the continuity of movement also implies continuity and predictability of operation and behaviour.
However, this widely-accepted theory relies on an absolute, never-ending continuity, which is at odds with the evidence of quantum theory. A new holodynamic systems model (one that includes a discontinuous-space | continuous meta-space duality) is required to fit the facts.
...(the idea) that space is continuous is, I believe, wrong.
— Professor Richard Feynman
The Messenger Series: Seeking New Laws