How does OPH answer Zeno’s paradox?
Zeno asks how a runner can finish a journey if crossing it requires first crossing half, then half the remainder, forever. The mathematical response is that infinitely many shrinking intervals can have a finite total: one half plus one quarter plus one eighth and so on sums to one. OPH adds a physical interpretation. A finite record process need not perform a separate operation for every point or subdivision in its continuum description. The runner's events occur; the infinitely divisible line is an effective mathematical account of them. The same distinction answers the frozen-arrow picture: an instantaneous position is not a complete account of a changing process. This motivates the discrete construction, while neither Zeno nor the geometric series proves that nature is discrete.
See also Do infinities exist in reality or only in our descriptions?, How can continuous space and smooth motion emerge from discrete records?, Is the quantum Zeno effect the same as Zeno’s paradox?
Sources: Zeno’s paradoxes: arguments and mathematical responses
Also in Chapter 15: Why Does Space Have Three Directions?, Chapter 16: Why Does Time Run, and Only One Way?.
This answer comes from OPH, Observer Patch Holography. OPH is a rigorous, consistent and complete description of the unified, self-creating computational Universe we inhabit. Its consistency is machine-checked: the fixed point at its core is constructed explicitly, and a theory with a model contains no contradiction.
To understand OPH and check every step yourself, start with the free book Reverse Engineering Reality. It builds the theory from the ground up, and the OPH Notebook answers your questions while you read.
read the free bookask the notebookor ask sage:read chapter 13: What Is One Piece of Reality Actually Made Of?watch a universe make its own particles