Why should we not be random brains with false memories?
The Boltzmann-brain problem arises when a cosmological model predicts that random observers with misleading records dominate its observer population. OPH emphasizes continuing observers whose records, interventions and internally recovered world fit together. A momentary image of a memory is weaker than realizing that causal organization. This distinguishes a genuine observer history from a picture that merely resembles one, but it is not a complete probability argument. A fluctuating system might instantiate real dependencies too. To show that ordinary observers are typical, OPH needs a justified state, measure and observer-counting prescription on its physical histories. Self-consistency by itself supplies neither those probabilities nor a proof that every apparent memory records a genuine external event.
See also Does describing a universe make it exist?, What is an observer, and does it have to be conscious?, Why did the universe begin in such a low-entropy state?
Also in Chapter 35: What Is Anything Made Of?, Chapter 37: Why Does the Loop Have No Beginning?.
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 2: Why Is There Anything Rather Than Nothing?watch a universe make its own particles