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Statistical audits papers 16 papers
Statistical audits. Null models, significance and calibration statistics Tagged papers: 16.
A Deterministic Interface Model for Quantum Statistics: Born Rule, Interference, and Measurement-Dependence Budgets for Loophole-Free Bell Correlations
Device-independent quantum key distribution and certified random-number generation derive their security guarantees from the magnitude of Bell violations, and those guarantees are only as strong as the assumption of measurement independence between setting choices and hidden variables. No published…
What a Fairness Audit Must Report When Demographic Labels Are Missing: Assumption-Free Disparity Intervals, a Determinacy Rule, and a Disclosure Checklist
Fairness audits of machine-learning systems publish group-level rates such as selection rates, but the protected labels those rates depend on are frequently missing for a substantial fraction of the audited population, and no settled rule says what the audit must disclose in that case. The gap is…
Falsification Criteria for Quantum-Advantage Claims: An Effective-Criterion Audit Framework
Claims of quantum advantage are frequently stated in forms that resist empirical refutation: the advantage is qualified by hardware assumptions, sampling definitions, or problem encodings that can be revised after a classical rebuttal appears. This paper constructs a structured falsification…
What Makes a Measure "Genuinely Natural"? Bits, Nats, and the Audit of Naturalness Claims in Measurement, Information, and Language
The word "natural" carries persuasive weight across the quantitative sciences: it appears in "natural logarithm," "natural language," and "natural images," and most pointedly in the recent information-theoretic proposal that the nat — the information unit based on the natural logarithm — is a…
Geometric Ratios as Generators of Hierarchical Structure: An Arithmetic Audit of π, φ, and e
A recurring conjecture in the ultrametric-physics program holds that hierarchical—i.e., ultrametric—structure "emerges" when a scale ratio q is set equal to a fundamental geometric constant: π, the golden ratio φ = (1+√5)/2, or Euler's number e. This paper converts that conjecture into falsifiable…
The Corrected Primon-Gas Dictionary: Zeta Partition Functions and the Discipline of Arithmetic Interpretations
The primon gas has connected quantum statistical mechanics with multiplicative number theory since the early 1990s and remains in active use. This paper consolidates the correspondence into a single audited reference: a corrected, verified dictionary; a five-level ladder separating mathematical…
Discriminating the Arithmetic Cut: Matched-Level-Density Null Models for the Primon-Gas Specific Heat and Spectral Correlations
The arithmetic-statistics program reads the two exchange statistics of identical particles as two multiplicity rules on one integer lattice, and its published observable is the specific heat of the primon gas: a computable deviation from the smooth ideal gas at every sampled temperature. The…
Terminology Silos and the Consilience Gap: A Quantitative Audit of Cross-Domain Vocabulary
Interdisciplinary consilience is claimed everywhere and measured almost nowhere. This paper measures one of its basic preconditions: whether scientific domains share vocabulary. 97.2% of external technical vocabulary occurs in exactly one discipline; bridge terms are massively enriched in…
Radix-Agnostic Detection of Discrete Scale Invariance: A Certified Three-Stage Protocol and a Null Result from Planck 2018
Discrete scale invariance (DSI) — invariance under a discrete set of rescalings $x \to \lambda^n x$ — predicts log-periodic oscillations whose angular frequency in the logarithmic coordinate $u = \ln x$ is $\omega_0 = 2\pi/\ln\lambda$. When the scaling radix $\lambda$ is unknown, a radix-locked…
The Universal Ignorance Audit: A Fifteen-Question Method for Systematic Inquiry into the Structure of Not-Knowing
The Universal Ignorance Audit is a fifteen-question, five-phase method for systematically interrogating the structure of not-knowing in any domain. Where conventional epistemic tools treat ignorance as an absence to be filled, the audit treats it as an active, structured state with architecture:…
Statistical Audit of the 5-Smooth Semigroup Mass-Ratio Claim
ACRP-04 statistical audit. Verdict: CONSISTENT WITH LOOK-ELSEWHERE ARTIFACT. p_global=0.116; 2 claimed-fit arithmetic errors; 5 non-optimal triples; precise ratios deviate 4-9138 sigma; pre-registered neutrino prediction trivially passes.
Auditing the BQNN: Does a Tunable Quantum Neural Network on Trapped-Ion and Superconducting Hardware Demonstrate a Route to Near-Term Quantum Advantage?
We audit the BQNN paper by Lakhdar-Hamina et al. (2025, PRL / arXiv:2507.21222v2) which implements a tunable quantum neural network on three quantum computing platforms. Through a complete Phase 1-4 research pipeline including due diligence, external literature search across 32 papers, and a 9-stage…
Critical Review: The Stacked Ring Shell Model of Atomic Nuclei
Critical review of "The Stacked Ring Shell Structure of Atomic Nuclei" by Wang XE et al. (2026). Applies five-phase research pipeline: due diligence, literature search, citation audit, red-team review, and quantitative counter-evidence. Finds the stacked ring shell model is a mnemonic classification…
The Hidden Fractures: Self-Referential Calibration and the 29 Schisms of Physics
Physics is often presented as a monolithic, converging body of knowledge. Yet a systematic inventory reveals 29 unresolved bifurcations and hidden assumptions -- from the nature of the continuum to the status of the observer, the consistency of mathematical language, and the meaning of explanation…
Not Even Wrong
This document presents a rigorous, multi-faceted mathematical deconstruction of String Theory’s claim to be a physical theory of nature. Quantitative metrics are systematically derived for its empirical vacuum, unfalsifiability, and information-theoretic cost, while acknowledging its significant…
Scientific Validity Assessment Toolkit (SVAT)
This document proposes the Scientific Validity Assessment Toolkit (SVAT), a quantitative framework to foster epistemic honesty and ontological rigor in fundamental physics. The SVAT addresses the crisis of reification—the intellectual error of treating model-dependent statistical inferences as…
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