Do infinities exist in reality or only in our descriptions?
OPH's finite observer interfaces never need an infinitely long record to return an outcome. Infinities can enter the effective description through continuous coordinates, unbounded idealizations and mathematical limits. Saying a field is defined at every real coordinate does not mean an observer has separately recorded every point. A finite rule can also specify an infinite mathematical sequence without enumerating it. The important distinctions are between an infinite mathematical object, unlimited possible refinement and an actually completed infinite physical operation. OPH proposes finite native access beneath the continuum description. That does not prove that every possible global history is finite, or invalidate the mathematics of infinite sets. Physical extent and duration require their own construction.
See also How does OPH answer Zeno’s paradox?, Is the universe infinite?, Could infinitely many physical operations finish in finite time?
Also in Chapter 15: Why Does Space Have Three Directions?, Chapter 35: What Is Anything Made Of?.
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