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Zero Worlds · claim ZW-C504 · Observation rung · Self-states and universal induction

Müller identifies the "erasure problem" — his bit model's monotone accumulation of information, with no fundamental forgetting — as an acknowledged open obstacle, and seeks a formulation permitting information deletion from self-states while preserving the external-world emergence theorems.

Not featured in the current editionAI-extractedorigin: mpmueller.net/aid, open problems section, read in full 2026-08-22

source anchor

mpmueller.net/aid ('Algorithmic Idealism' exposition), open-problems discussion

Evidence

Supports· strongZW-E003

Müller's own exposition: 'hope', a 'preliminary' theorem, and the erasure problem

what the source states
The exposition states: "I hope that some nonclassical aspects of quantum theory can be shown to be predictions of algorithmic idealism," describes the 2020 Bell result as "a preliminary result (a valid theorem, but 'preliminary' because it still rests on too many assumptions) which shows that the violation of Bell inequalities, but preservation of the no-signalling principle can sometimes be expected," and names the erasure problem — permitting fundamental information deletion from self-states while preserving the emergence theorems — as an open problem.
what we infer
The theorist's own words settle the wording disputes that circulate around this program: Bell violation is neither "derived" (too strong) nor a mere aspiration (too weak) — it is a heavily-conditioned theorem plus a hope. Evidence of unusual candor, and the precise measure of the derivation gap.
limitations
  • A living self-published page; quotes were captured via AI retrieval on 2026-08-22 and the page may change.
Müller, M. P.AI-verified citation
Supports· strongZW-E023

Müller 2026 (conclusions): quantum phenomena are the framework's test, and resemblance does not count

what the source states
In the paper's conclusions Müller names "two main open technical problems". The first is the bit model's lack of forgetting, "which is unmotivated, unrealistic, and an artefact of the way that Solomonoff induction has been formulated in Algorithmic Information Theory". The second is that "a successful formalization of algorithmic idealism should predict some phenomenal aspects of Quantum Theory". Its target is "phenomena that are genuinely quantum, such as the violation of Bell inequalities together with compliance with the no-signalling principle" (p. 28). An explanation of Bell violation "has been sketched in [2], but it needs further elaboration". He adds: "Note that it is not enough to point at mathematical elements" that resemble those of quantum theory, since "the main question is whether the statistical results of experiments are predicted to behave in genuinely nonclassical ways". Building the formalism in would defeat the test: "it would be methodologically wrong to build the quantum formalism into algorithmic idealism by construction" (p. 29).
what we infer
The framework's peer-reviewed statement agrees with the case on two points. It names the quantum derivation as open (ZW-C002), and it sets the same bar this case borrows from Spekkens (ZW-C502): nonclassical statistics, not resembling equations. This record also supersedes the abstract-level characterization in ZW-E002 with the paper's own words, and quotes the erasure problem (ZW-C504) from the published paper rather than the author's web page.
limitations
  • Read from the arXiv version dated 24 July 2025. The Springer version was not separately compared.
  • The proponent setting his own test is not evidence that the test can or cannot be passed.
Müller, M. P. (2026)AI-verified citation

an honest empty state

This claim is in the ledger but not in the current edition's featured set. Nothing here has been assessed — that absence is information, not an oversight.

Still missing: plain-language gloss, credibility assessment, diagnosticity assessment, strongest objection, what would change our mind. A claim gains them when an edition features it and the edition's adopted assessment supplies the full treatment — a decision the panel reviews, not a field anyone flips.