Is there a smallest length in nature?
A finite record interface does not automatically imply a universal smallest spatial distance. OPH's native constructions use finite carriers, and some physical interpretations attach a basic area to a boundary's record capacity. Establishing its value in physical units requires a gravitational and geometric dictionary. The Planck length is a scale built from measured constants; that fact alone does not prove that space is a lattice with that spacing. Effective positions may be continuous even when the underlying record process is discrete. Zeno's subdivisions then belong to the mathematical description, rather than a list of separate operations the runner must execute. OPH must show how its finite processes reproduce actual ruler and clock measurements before claiming a measured minimum length.
See also How does OPH answer Zeno’s paradox?, How can continuous space and smooth motion emerge from discrete records?
Also in Chapter 15: Why Does Space Have Three Directions?, Chapter 17: Why Is There a Speed Limit?.
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 24: Why Does a Region's Memory Scale With Its Surface?watch a universe make its own particles