Is the universe infinite?
OPH distinguishes finite access from the size of a complete world. Each bounded observer can hold only finitely much distinguishable information through a specified interface. That does not decide whether there are finitely many observers, whether histories continue without bound, or whether an effective spatial geometry has infinite extent. Those are different questions. An infinite continuum can also be a useful limiting description without any observer enumerating its points. A physical claim about the whole universe needs a specified global construction and observational consequences; it cannot be read straight from one carrier's dimension or capacity. OPH's finite starting point therefore explains why local observations need no infinite register, while leaving global extent to the construction being tested.
See also Do infinities exist in reality or only in our descriptions?, Is reality digital?
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 35: What Is Anything Made Of?watch a universe make its own particles