Is the universe random or deterministic?
Separate a rule for probabilities from an individual recorded outcome. OPH constructions include specified deterministic updates and specified quantum or stochastic operations. Their complete observation laws depend on which construction is being discussed. A settled record fixes what occurred in that history; it need not assign answers to every incompatible measurement that was never performed. The complete-history proposal asks for these records, operations and their reconstruction to fit together. Calling that history a fixed point does not turn every local probability into a hidden predetermined value, or prove that all histories share one outcome. There is also no conflict in describing a whole history while an observer inside it lacks its future records. A physical randomness claim has to follow from the actual source and apparatus being tested.
See also Do we have free will?, Can Wigner and his friend give different accounts of the same measurement?, What does it mean to call the universe a fixed-point solver?
Also in Chapter 16: Why Does Time Run, and Only One Way?, Chapter 11: What Does Everybody Actually End Up Holding?, Chapter 40: Does It Feel Like Anything, and What Is Left to Decide?, Chapter 9: What Move Does Reality Actually Make?.
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 19: Why Can't You Ask Everything At Once?watch a universe make its own particles