Is reality digital?
OPH begins with bounded observers and finite records. A particular record interface distinguishes finitely many outcomes, and specified native repair models use integer loads and discrete updates. Continuous fields, positions and time coordinates can describe the collective behavior of those records in controlled limits. This does not require every mathematical state variable to be an integer: finite quantum systems can have continuous amplitudes, while their registered outcomes are discrete. Nor does a finite observer prove that the entire universe contains finitely many events. The physical proposal is that no measurement needs an actually infinite register to occur. Whether that architecture reproduces nature is a test of the construction. Continuum mathematics remains useful without turning every point in a drawing into a separately executed physical event.
See also How does OPH answer Zeno’s paradox?, Do infinities exist in reality or only in our descriptions?, How can continuous space and smooth motion emerge from discrete records?
Also in Chapter 15: Why Does Space Have Three Directions?, Chapter 9: What Move Does Reality Actually Make?, Chapter 34: Why Was Newton Right for Two Hundred Years?, Chapter 19: Why Can't You Ask Everything At Once?.
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