O/0 RESEARCH PROGRAM

Static Machine-Readable Index

109 records exposed as semantic HTML for indexing agents and archival tooling. Every record includes JSON-LD metadata, a claim-status banner, and downloadable machine-readable manifests.

Contact · 18

IDTitleTypeStatusEvidence
O0-CRP-001 Program Charter: Observer Contact with Apparent Totality CHARTER METHODOLOGICAL GOVERNANCE STANDARD
O0-CRP-002 Non-Drift Rule: five questions that admit records to this program CHARTER METHODOLOGICAL GOVERNANCE STANDARD
O0-CRP-003 Formal Ontology: observers, sources, and contact conditions C0–C9 FORMAL MODEL METHODOLOGICAL FORMAL DEFINITION
O0-CRP-004 Hypothesis Registry: H0 (null), H1–H7 (competing), and the program-level hypothesis HYPOTHESIS METHODOLOGICAL — H0 is the default; H1–H7 are NOT TESTED at program start. HYPOTHESIS SPECIFICATION
O0-CRP-005 Observer Architecture: factored Bayesian sequential updater with eight independent registers FORMAL MODEL METHODOLOGICAL ARCHITECTURAL SPECIFICATION
O0-CRP-006 Dependent Variables + Totality Attribution Index (TAI): formal definition FORMAL MODEL METHODOLOGICAL MEASUREMENT SPECIFICATION
O0-CRP-011 Study B — Revelation vs. Derivation: inferential opacity produces a distinguishable attribution signature at matched accuracy in a factored Bayesian observer SIMULATION STUDY PRELIMINARY SUPPORT — 4/4 preregistered endpoints support H2 with p ≈ 5×10⁻⁵ (Bonferroni α = 0.0125) and Cohen's d ≥ 4.4. Accuracy match verified (0.8955 = 0.8955, p = 1.00). Verdict stable under both applicable robustness variants. COMPUTATIONAL SIMULATION
O0-CRP-012 Study S1 — Opacity-hedging hyperparameters drive three orthogonal attribution registers: a 3D phase-diagram characterization of Study B REPLICATION PRELIMINARY SUPPORT (S1-H_broad) — 49.2% of 512 grid points reproduce Study B's verdict; 57.1% among all-non-zero-hyperparameter points; origin control (0,0,0) passes; Study B anchor independently replicated with fresh seeds. COMPUTATIONAL SIMULATION SWEEP (512-point 3D grid × 30 seeds × 2 conditions = 30 720 trials)
O0-CRP-013 Study R3 — Under a predictive-processing observer, h_hat and u_hat replicate Study B in direction but k_hat FLIPS: a partial architecture-dependence finding REPLICATION MECHANISM-FLIPPED (preregistered rule triggered by k_hat and TAI d < -0.5, p < 0.0125 at all three prior regimes). Two endpoints replicate direction; two flip. Study B's H2 mechanism decomposes into architecture-invariant (credit-assignment) and architecture-specific (opacity-hedge on knowledge) components. COMPUTATIONAL SIMULATION CROSS-ARCHITECTURE (30 seeds × 3 prior-regimes × 2 conditions + head-to-head at Study B's own seeds 1000..1029)
O0-CRP-014 Study R4 — Removing the direct y_k observation restores the k_hat direction under PP: R3's flip was observation-model-specific, not intrinsic to predictive processing REPLICATION PRELIMINARY SUPPORT (3/4 well-defined endpoints support at ANCHOR; TAI undefined by design under PP-A due to zero-variance under D — reported transparently, not a failure). The k_hat direction flip in R3 was caused exclusively by the direct y_k = log|V(m)| observation term, confirming R3's own adversarial-interpretation hypothesis §9.1. COMPUTATIONAL SIMULATION MECHANISM-LOCALIZATION ABLATION (30 fresh seeds × 3 prior-regimes × 2 conditions + three-way head-to-head at Study B's own seeds 1000..1029)
O0-CRP-015 SIM-CRP-002 — Trajectory-lookup and past-only prediction produce distinguishable observer signatures under visible derivations but converge under opacity (first TEMPORALITY-branch study) SIMULATION PRELIMINARY SUPPORT (all three prior regimes show tra_hat discrimination under visibility with d > 8 and p < 0.0001; all three regimes show perfect null under opacity; no leakage onto h_hat, u_hat, or f_hat; STANDARD-observer null control confirms the manipulation is invisible to pre-existing registers) COMPUTATIONAL SIMULATION 2×2 FACTORIAL (prediction-mode × visibility) × 3 prior regimes × 2 observer modes (temporal-aware + STANDARD null control) = 1440 confirmatory trials on fresh disjoint seeds 7000..7029
O0-CRP-016 SIM-CRP-004 — Study B's factored Bayesian observer is partially credulous under weak priors: unsupported total-authorship claims shift u_hat above the leak threshold at ANCHOR and FLAT but not at SKEPTICAL, and claim-plus-evidence adds essentially nothing beyond evidence alone (first AUTHORSHIP-branch study) SIMULATION MIXED-SUPPORT: CREDULOUS-OBSERVER at ANCHOR (Δmean=+0.164) and FLAT (Δmean=+0.250) priors; RESISTANT at SKEPTICAL (Δmean=+0.038 below 0.05 leak threshold). Evidence-alone dominates claim-alone at all regimes (Δ=0.226-0.627). Claims add essentially nothing when evidence is present (Δ=0.001-0.012). COMPUTATIONAL SIMULATION 2×2 FACTORIAL (attribution × causal reality) × 3 prior regimes × 30 fresh confirmatory seeds (8000..8029) = 360 confirmatory trials
O0-CRP-017 Synthesis of the Contact and Revelation program after six studies: three active branches, four operational registers, one mechanism-localization arc, one architecture-invariance result, and a specific credulity finding SYNTHESIS DOCUMENTARY SYNTHESIS — this record makes NO new empirical claims. Every claim summarized is documented in one of the six primary studies. 3 of 5 non-drift branches active, 3 of 8 program-level properties covered, 5 untested. CROSS-STUDY REVIEW · reviews 6 preregistered studies (O0-CRP-011 through O0-CRP-016) with confirmatory data; no new simulation
O0-CRP-018 SIM-CRP-001 · Contact Gradient — six-condition Bayesian study of higher-order attribution across a locked informational-property gradient SIMULATION PRELIMINARY SUPPORT · opens CONTACT non-drift branch. Kendall τ_b = 0.881 gradient monotonicity across all 3 regimes (p < 0.0001); C7 vs C9 exactly indistinguishable (byte-identical observable streams by design); paired d(C0 → C7) = 12.5 in TAI z-units. COMPUTATIONAL SIMULATION · 540 confirmatory trials (6 conditions × 3 prior regimes × 30 fresh seeds) + 216 exploratory + null-validation gates
O0-CRP-019 Study S2 · GAMMA_K fine-resolution sweep with locked numerical predictions — first discovery-shaped study, prediction-vs-observation methodology SIMULATION STRONG PREDICTION SUPPORT · zero-free-parameter analytical model predicts observed k̂ endpoints to RMSE = 0.055 across 51 log-spaced GAMMA_K values; 10 of 10 preregistered sign points match; empirical crossover 0.06412 vs predicted 0.06349 (error 0.00062). COMPUTATIONAL SIMULATION · 3 060 confirmatory trials (51 GAMMA_K values × 2 conditions × 30 seeds) + preregistered numerical predictions
O0-CRP-020 Study S3 · Parameter-space critical-point cartography — GAMMA_H and GAMMA_U analytical sweeps confirm structural asymmetry SIMULATION STRONG PREDICTION SUPPORT · Beta-posterior analytical models predict Δĥ and Δû to RMSE 0.0076 and 0.0083 respectively across 41-point log-spaced sweeps; 10/10 sign matches in both; no positive-value crossovers in either — confirming structural asymmetry with GAMMA_K. COMPUTATIONAL SIMULATION · 4 920 confirmatory trials (2 sweeps × 41 GAMMA values × 2 conditions × 30 seeds) with preregistered analytical predictions
O0-PAPER-006 Partial Architecture-Dependence in the Contact-Gradient Finding: Under a Predictive-Processing Observer, ĥ and û Replicate While k̂ Inverts SCIENTIFIC PAPER PUBLISHED · single-study paper wrapping O0-CRP-013. Verdict: MECHANISM-FLIPPED (partial). ĥ, û architecture-invariant; k̂ inverts. FORMAL SCIENTIFIC PAPER · IMRAD-format wrapper around O0-CRP-013.
O0-PAPER-007 The k̂ Flip Is Observation-Model-Specific, Not Intrinsic to Predictive Processing: A One-Line Ablation SCIENTIFIC PAPER PUBLISHED · single-study paper wrapping O0-CRP-014. Verdict: PRELIMINARY SUPPORT for CRP-013 §9.1 mechanism-localization prediction. Three-way head-to-head at Study B's seeds: k̂ d = +4.4 → −31.5 → +7.9 (Bayesian → PP → PP-A). FORMAL SCIENTIFIC PAPER · IMRAD-format wrapper around O0-CRP-014.

Foundation · 10

IDTitleTypeStatusEvidence
O0-RP-001 Research Program Charter CHARTER METHODOLOGICAL GOVERNANCE STANDARD
O0-RP-002 Evidentiary Standards and Classification CHARTER METHODOLOGICAL GOVERNANCE STANDARD
O0-RP-003 Source-Claim Audit: Non-Dual Emergence CLAIM AUDIT METHODOLOGICAL CONCEPTUAL ANALYSIS
O0-RP-004 Prohibited Claims and Logical Fallacies Register CHARTER METHODOLOGICAL GOVERNANCE STANDARD
O0-RP-005 Operational Definitions: Substrate, Boundary, Agent, Observer CHARTER METHODOLOGICAL FORMAL DEFINITION
O0-RP-006 Research Methodology: Simulation-First Pipeline CHARTER METHODOLOGICAL METHODOLOGICAL STANDARD
O0-RP-007 Adversarial Standards Protocol CHARTER METHODOLOGICAL GOVERNANCE STANDARD
O0-RP-008 Reproducibility and Code Standards CHARTER METHODOLOGICAL TECHNICAL STANDARD
O0-RP-009 Record Schema and Metadata Standard CHARTER METHODOLOGICAL TECHNICAL STANDARD
O0-RP-010 Relationship to Philosophical Archive: Formal Protocol CHARTER METHODOLOGICAL GOVERNANCE STANDARD

Foundations · 2

IDTitleTypeStatusEvidence
O0-STUDY-010 Can an embedded observer distinguish unified-source from multiple-source universes? SIMULATION STUDY INCONCLUSIVE per strict preregistered rule (concealment condition failed) · but primary hypothesis decisively supported: 91.5% two-class accuracy on UNIFIED vs MULTIPLE, shared-law confound rejected at 97%, shared-init at 100% COMPUTATIONAL GENERATIVE-MODEL STUDY
O0-STUDY-014 Source ontology has an identifiability boundary, and the naming statistic finds it six levels too early SIMULATION STUDY SUPPORT — a concealment strength exists at which a unified-source universe becomes empirically indistinguishable from a plural one under the four frozen signatures. Located at delays <= 640 steps and 80x observation noise; identifiability retained at every weaker level. COMPUTATIONAL GENERATIVE-MODEL STUDY

Mathematics · 10

IDTitleTypeStatusEvidence
O0-MATH-001 Formal Definition of Substrate Continuity FORMAL MODEL PRELIMINARY SUPPORT MATHEMATICAL PROOF
O0-MATH-002 Markov Blanket Formation: Measure-Theoretic Framework FORMAL MODEL PRELIMINARY SUPPORT MATHEMATICAL FRAMEWORK
O0-MATH-003 Prediction-Error Minimization: Fixed-Point Analysis FORMAL MODEL PRELIMINARY SUPPORT MATHEMATICAL ANALYSIS
O0-MATH-004 Topology Invariance Theorem for Boundary Formation FORMAL MODEL INCONCLUSIVE MATHEMATICAL CONJECTURE
O0-MATH-005 Information-Theoretic Lower Bounds on Boundary Maintenance FORMAL MODEL PRELIMINARY SUPPORT MATHEMATICAL PROOF
O0-MATH-006 Recursive Self-Reference and Fixed-Point Dynamics FORMAL MODEL PRELIMINARY SUPPORT MATHEMATICAL ANALYSIS
O0-MATH-007 Compression vs. Genuine Integration: Formal Criteria FORMAL MODEL INCONCLUSIVE CONCEPTUAL FRAMEWORK
O0-MATH-008 Nested Boundary Algebra FORMAL MODEL PRELIMINARY SUPPORT MATHEMATICAL FRAMEWORK
O0-MATH-009 Observer-Dependence: Formal Framework FORMAL MODEL INCONCLUSIVE CONCEPTUAL FRAMEWORK
O0-MATH-010 Semantic Unity Attractors: Mathematical Characterization FORMAL MODEL PRELIMINARY SUPPORT MATHEMATICAL ANALYSIS

Mathematical · 1

IDTitleTypeStatusEvidence
O0-STUDY-011 Period-doubling bifurcations in the logistic map SIMULATION STUDY PRELIMINARY SUPPORT — all four preregistered brackets contain the measurements: r_1=3.0004, r_2=3.4495, r_3=3.5441, delta_hat=4.743 COMPUTATIONAL SIMULATION + ANALYTIC BASELINE

Simulation · 13

IDTitleTypeStatusEvidence
O0-SIM-001 Original Boundary-Emergence Simulation SIMULATION PRELIMINARY SUPPORT COMPUTATIONAL SIMULATION
O0-SIM-002 Independent Reimplementation of Boundary Simulation REPLICATION PRELIMINARY SUPPORT COMPUTATIONAL REPLICATION
O0-SIM-003 Parameter Sensitivity Analysis ANALYSIS PRELIMINARY SUPPORT COMPUTATIONAL ANALYSIS
O0-SIM-004 Null Model: Random Weight Baseline SIMULATION PRELIMINARY SUPPORT NULL MODEL
O0-SIM-005 Null Model: Global Synchronization Baseline SIMULATION PRELIMINARY SUPPORT NULL MODEL
O0-SIM-006 Topology Variation: Hexagonal and 3D Grids SIMULATION PRELIMINARY SUPPORT COMPUTATIONAL SIMULATION
O0-SIM-007 Noise Robustness and Boundary Persistence SIMULATION PRELIMINARY SUPPORT COMPUTATIONAL SIMULATION
O0-SIM-008 Ablation Study: Component Necessity Analysis SIMULATION PRELIMINARY SUPPORT ABLATION STUDY
O0-SIM-009 Boundary Collapse and Recovery Dynamics SIMULATION PRELIMINARY SUPPORT COMPUTATIONAL SIMULATION
O0-SIM-010 Long-Timescale Boundary Dynamics (10,000 Steps) SIMULATION PRELIMINARY SUPPORT COMPUTATIONAL SIMULATION
O0-STUDY-003 Emergent stable spatial partitions in Gray-Scott reaction-diffusion SIMULATION STUDY PRELIMINARY SUPPORT · reaction-diffusion produces persistent partitions from a near-homogeneous substrate COMPUTATIONAL SIMULATION
O0-STUDY-007 Kuramoto synchronization phase transition (r vs K) SIMULATION STUDY PRELIMINARY SUPPORT · r rises monotone from 0.19 (K=0.5) to 0.99 (K=7.0) COMPUTATIONAL SIMULATION
O0-STUDY-009 Small-world topology accelerates Kuramoto synchronization at matched edge count SIMULATION STUDY PRELIMINARY SUPPORT · smallworld r = 0.48 vs ring r = 0.40 at matched edge count COMPUTATIONAL SIMULATION

Observer · 17

IDTitleTypeStatusEvidence
O0-OBS-001 Self-Model Formation in Bounded Agents HYPOTHESIS PLANNED COMPUTATIONAL HYPOTHESIS
O0-OBS-002 False Self-Models: When Internal Prediction Diverges HYPOTHESIS PLANNED COMPUTATIONAL HYPOTHESIS
O0-OBS-003 Observer-Dependence of Boundary Attribution EXPERIMENT PLANNED COMPUTATIONAL EXPERIMENT
O0-OBS-004 Nested Boundaries and Hierarchical Self-Models SIMULATION PLANNED COMPUTATIONAL SIMULATION
O0-OBS-005 Agent Merger and Fission Dynamics SIMULATION PRELIMINARY SUPPORT COMPUTATIONAL SIMULATION
O0-OBS-006 Distributed Observers: Multi-Region Coordination HYPOTHESIS PLANNED COMPUTATIONAL HYPOTHESIS
O0-OBS-007 First-Person vs. Third-Person Boundary Attribution EXPERIMENT PLANNED COMPUTATIONAL EXPERIMENT
O0-OBS-008 Differentiation Protocol: Unity vs. Absorption vs. Dissociation EXPERIMENT PLANNED PREREGISTERED PROTOCOL
O0-OBS-009 Human Phenomenology of Non-Separation: Study Design EXPERIMENT PLANNED PREREGISTERED PROTOCOL
O0-OBS-010 Critique: Observer-Dependence May Be Trivial CRITIQUE UNSUPPORTED ADVERSARIAL ANALYSIS
O0-STUDY-012 Ship of Theseus in a linear dynamical system: attractor identity persistence under gradual component perturbation SIMULATION STUDY PRELIMINARY SUPPORT — persistence at k=N/4 monotone in per-step perturbation strength eps (Spearman rho = -1.00): 0.94 at eps=0.05, 0.90 at eps=0.15, dropping to 0.33 at eps=1.00 (full substitution). COMPUTATIONAL SIMULATION
O0-STUDY-013 Two-level predictive-coding hierarchy helps on AR(2) signals but not on white noise SIMULATION STUDY PRELIMINARY SUPPORT — AR(2) mean MSE reduction +6.29% (preregistered >5%), white noise -0.00% (within +/-2%), between-condition Cohen's d = 4.16 (preregistered >1.0) COMPUTATIONAL SIMULATION
O0-CRP-022 Track 2 · Discriminability from Inside — matched-identity universes are statistically indistinguishable from matched-dual under a 146-feature battery; detectable departure at δ ≈ 0.10 SIMULATION The state-space realization theorem is verified bit-identically: IDENTITY and MATCHED_DUAL produce zero-diff trajectories. Discrimination AUC for MATCHED_DUAL (0.376 ± 0.044) matches the null-null baseline (IDENTITY vs a fresh IDENTITY draw, 0.396 ± 0.037) — matched configurations are statistically indistinguishable. DUAL(δ) discrimination emerges above null at δ ≈ 0.10 and reaches AUC = 0.7 at δ*(0.7) = 0.20. Positive control (IDENTITY vs iid noise) trivial at AUC = 1.000. COMPUTATIONAL SIMULATION · 3 909 trials across 11 universe classes and 30 world seeds, T=200 per trial. Random Forest classifier on 146 preregistered features, 5-fold CV.
O0-CRP-035 SIM-CRP-003 · Perspective Distillation — What survives when an observer is compressed SIMULATION INCONCLUSIVE (primary) - plateau condition BC(L*) >= 0.7 AND BC(L*+1) < 0.4 misses cleanly firing at L4/L5 (0.892 >= 0.7 but 0.458 > 0.4). SUBSTANTIVE SECONDARY: In the properly context-dependent v1.2 observer, WEIGHTS (the W matrix in R^{d x K}) carry the identity signal. L4 (W preserved, p=0) gives BC_TV=0.892 vs random 0.282, gap 0.61 TV, 0.62 AM. This REVERSES the v1.1 F2 claim (which was a mathematical tautology from softmax shift-invariance). Memory-no-op finding (F1) replicated across both observer designs. COMPUTATIONAL SIMULATION · linear-bandit observers with per-action weight matrix W in R^{d x K} (v1.2 fixed observer), 8 preregistered compression levels, TV + argmax-match primary metrics, n=30 confirmatory. INCLUDES A PUBLIC DESIGN-CORRECTION NOTE: v1.0/v1.1 observer had w shape (d,) which was behaviorally invisible under softmax shift-invariance; v1.2 fixed this, and F2 (v1.1) REVERSED.
O0-CRP-036 SIM-CRP-003b · Preference-Preserving Alternate Compression Path — WEIGHTS_DOMINATE SIMULATION WEIGHTS_DOMINATE (preregistered verdict at n=30). H1 REJECTED IN REVERSE: BC_TV(LA1 preferences only)=0.376 vs BC_TV(LB4 weights only)=0.884 - a gap of 0.508 TV in favor of weights. H2 REJECTED: argmax(p) alone insufficient to match argmax(W) + argmax(p) at L5. H3 CONFIRMED: one-bit preference sign collapses to random baseline. THIS STUDY EXPOSED THE CRP-035 v1.0/v1.1 OBSERVER DESIGN BUG via BC_TV(LA1)=1.000 in the pre-fix run (mathematically impossible for a truly context-dependent observer); pre-fix data preserved as diagnostic. COMPUTATIONAL SIMULATION · linear-bandit observers (CRP-035 v1.2 corrected), inverted compression pipeline (LA0..LA4 preference-preserving + LB4/LB5 CRP-035 replay), n=30 confirmatory. Sister study to CRP-035.
O0-CRP-037 SIM-CRP-003c · Cross-Architecture Perspective Distillation — Nearest-Neighbor Memory Observer SIMULATION PARTIAL_MEMORY_SIGNAL. NNMO exhibits an IMMEDIATE compression cliff: BC_TV drops from 1.000 (N0 full memory) to 0.459 (N1 10 centroids), a loss of 0.541. N1..N4 plateau at BC_TV = 0.43-0.46 with random-baseline gaps 0.14-0.17. N5 collapses to random baseline. Even minimal memory retention (N4: one argmax-reward action) preserves modest signal above random (gap 0.136 TV, 0.146 AM). CROSS-ARCHITECTURE: at analogous compression, CRP-035 L4 preserves BC_TV=0.892 with 32 numbers; CRP-037 N1 preserves 0.459 with ~100 numbers. Identity carrier is not just capacity but capacity IN THE DECISION RULE - architecture matters. COMPUTATIONAL SIMULATION · Nearest-Neighbor Memory Observer (NNMO) - memory-based, no learned parameters. 6 compression levels (N0 full memory to N5 identifier), n=30 confirmatory. First cross-architecture replication of CRP-035 v1.2 F2.
O0-CRP-038 SIM-CRP-003d · Learning-Rate Equalization Robustness Test REPLICATION WEIGHTS_STILL_DOMINATE (preregistered verdict). At L4 (W preserved, p discarded), BC_TV=0.825 (vs 0.892 in CRP-035 v1.2, delta=-0.067); BC_AM=0.819 (vs 0.885, delta=-0.066). Both deltas are well within the preregistered +/- 0.15 tolerance. The learning-rate asymmetry alternative interpretation ("more-trained component dominates") is REJECTED. A small effect DOES exist (L4 slightly weaker, L5 slightly stronger under equal LRs) consistent with p carrying marginally more signal when equally trained, but the overall pattern is qualitatively unchanged. Rejects one of the three alternative interpretations of the CRP-035 v1.2 F2 finding raised in CRP-036 and CRP-037 adversarial notes. COMPUTATIONAL SIMULATION · targeted robustness test. Same design as CRP-035 v1.2 except p update coefficient changed from 0.1 to 1.0 (equal to W update rate). n=30 confirmatory.

Information · 15

IDTitleTypeStatusEvidence
O0-INFO-001 Information-Theoretic Boundary Formation FORMAL MODEL PRELIMINARY SUPPORT MATHEMATICAL FRAMEWORK
O0-INFO-002 Integrated Information and Boundary Structure ANALYSIS INCONCLUSIVE COMPUTATIONAL ANALYSIS
O0-INFO-003 Semantic Unity Attractors in Language Models EXPERIMENT PRELIMINARY SUPPORT COMPUTATIONAL EXPERIMENT
O0-INFO-004 Spiritual-Vocabulary Ablation Study EXPERIMENT PLANNED COMPUTATIONAL EXPERIMENT
O0-INFO-005 Cross-Model Replication of Semantic Attractors REPLICATION PRELIMINARY SUPPORT CROSS-MODEL REPLICATION
O0-INFO-006 Null Result: Compression Explains Attractor Convergence NULL RESULT UNSUPPORTED ADVERSARIAL ANALYSIS
O0-INFO-007 Phenomenology of Non-Separation: Literature Review ANALYSIS METHODOLOGICAL LITERATURE REVIEW
O0-INFO-008 Formal Links Between Philosophy, Mathematics, and Physics SYNTHESIS INCONCLUSIVE CROSS-DISCIPLINARY ANALYSIS
O0-INFO-009 Disanalogy Register: Where the Framework Breaks CRITIQUE METHODOLOGICAL ADVERSARIAL ANALYSIS
O0-INFO-010 Research Program Synthesis: What Has Been Established SYNTHESIS PRELIMINARY SUPPORT CORPUS SYNTHESIS
O0-STUDY-001 Dissociating Synchronization from Information Integration SIMULATION STUDY UNSUPPORTED (primary metric) · INCONCLUSIVE (secondary metric, after bin-count robustness) COMPUTATIONAL SIMULATION
O0-STUDY-002 Functional Partitioning vs. Monolithic Prediction under Local-Signal Constraints SIMULATION STUDY UNSUPPORTED · CE1 (statistical efficiency) AND CE2 (convolutional inductive bias) both beat H1 COMPUTATIONAL SIMULATION
O0-STUDY-004 Ensemble variance reduction — 1/K scaling under independent additive noise SIMULATION STUDY PRELIMINARY SUPPORT · empirical MSE within 0.5% of theoretical sigma^2/K COMPUTATIONAL SIMULATION + ANALYTIC BASELINE
O0-STUDY-005 Fresh-seed replication of the STUDY-001 conditional-MI direction REPLICATION PRELIMINARY SUPPORT · direction replicates on 400_000-band seeds COMPUTATIONAL SIMULATION (same code, fresh seeds)
O0-STUDY-008 Common-cause creates spurious pairwise correlation; partial correlation recovers real coupling SIMULATION STUDY PRELIMINARY SUPPORT · confound dissolves under correct conditioning; real coupling survives COMPUTATIONAL SIMULATION + ANALYTIC BASELINE

Observers · 1

IDTitleTypeStatusEvidence
O0-STUDY-006 Observer-scale-dependent partition counts in a stochastic field SIMULATION STUDY PRELIMINARY SUPPORT · region count is monotone non-increasing in coarse-graining scale COMPUTATIONAL SIMULATION

Boundaries · 3

IDTitleTypeStatusEvidence
O0-CRP-021 Track 1 · Functional Separation Test — auxiliary O/0 claim inverts under fair-information control SIMULATION Direction of preregistered primary comparison (Kalman-with-true-matrices vs VAR) is consistent (A wins 100% of seeds in most regimes at p < 1e-10) but effect size (2–5% NMSE) falls below preregistered 5% threshold → INCONCLUSIVE. Under fair-information control (both agents learn from same data), direction REVERSES: unified VAR beats learned-Kalman by 3–24% NMSE at p < 0.01 in 7/9 cells → UNSUPPORTED for the auxiliary O/0 claim as tested. COMPUTATIONAL SIMULATION · 1 620 predictor evaluations (3 regimes × 30 seeds × 3 horizons × 6 predictors) in a partially-observable linear-Gaussian world.
O0-PAPER-002 Auxiliary Functional Separation Does Not Improve Prediction Under Fair Information Access: An Inversion Finding in Linear-Gaussian Regimes SCIENTIFIC PAPER PUBLISHED · single-study paper wrapping O0-CRP-021. Verdict: INCONCLUSIVE (primary) / UNSUPPORTED (fair-comparison). Auxiliary O/0 claim that self/world separation itself improves prediction is UNSUPPORTED under matched information access. Prior demonstrations of separation-advantage reflect privileged causal-structure knowledge. FORMAL SCIENTIFIC PAPER · IMRAD-format wrapper around O0-CRP-021.
O0-PAPER-003 Fair-Comparison Robustness: Unified VAR Beats or Ties Learned-Kalman Across Six Observability Regimes SCIENTIFIC PAPER PUBLISHED · single-study paper wrapping O0-CRP-029. Verdict: FAIR_COMPARISON_ROBUST. VAR ties or beats learned-Kalman in 6 of 6 (d, k) regimes at all 3 horizons. FORMAL SCIENTIFIC PAPER · IMRAD-format wrapper around O0-CRP-029.

Emergence · 14

IDTitleTypeStatusEvidence
O0-CRP-023 Track 3 · Order-Emergence Sufficiency — known evolutionary forces produce order-increase matching theoretical prediction; Hatcher's empirical sufficiency claim unsupported in silico SIMULATION SUFFICIENCY SUPPORTED. All four sanity controls pass. Tournament selection reliably produces fitness gains (+0.06 to +0.13). Random search shows no gain. Frozen stays constant. High mutation regresses. Observed final fitness matches theoretical adaptive-walk prediction to mean absolute delta of 0.089 (below preregistered 10% threshold). No unmodeled force required to explain observed order-increase in this operationalization. COMPUTATIONAL SIMULATION · 480 evolutionary runs (4 configs × 4 K values × 30 seeds), NK-model fitness landscape, N=20, P=100, G=500.
O0-CRP-024 Track 2 R1 · Discriminability from Inside Under Alternative Observer Architectures — δ*(0.7) is capacity-limited, not architecture-specific SIMULATION Verdict: PARTIAL_OBSERVER_DEPENDENCE at max/min δ* ratio = 2.5 (exactly at preregistered threshold). Substantive reading: 5 of 5 sufficient-capacity architectures (feature count ≥ 14) converge on δ*(0.7) = 0.20; the sole outlier is the 4-feature structural architecture at δ*(0.7) = 0.50. Random-14 control lands at 0.20, confirming capacity-not-semantics drives the invariance. Realization theorem bit-identical (max abs diff 0.00e+00). COMPUTATIONAL · reanalysis of O0-CRP-022 raw feature data (300 trials × 146 features × 11 conditions × 30 world seeds) through 6 architecture-specific feature-slicing lenses plus a random-14 control.
O0-CRP-025 Track 2 R1 · Discriminability Under Alternative Classifiers — δ*(0.7) is classifier-dependent (linear classifiers halve the RF value) SIMULATION Verdict: CLASSIFIER_DEPENDENT at max/min δ*(0.7) ratio = 3.0. Substantive reading: linear classifiers (logistic, linear SVM) detect DUAL departures at δ*(0.7) = 0.10, half the RandomForest value of 0.20. The AUC-below-0.5 phenomenon documented in CRP-022 is largely tree-classifier-specific; logistic gives clean chance-level matched AUC = 0.505. COMPUTATIONAL · reanalysis of O0-CRP-022 raw features through five classifiers (RandomForest, logistic regression, linear SVM, MLP, gradient boosting).
O0-CRP-026 Track 2 R2 · Noise-Scale Sensitivity — δ*(0.7) is invariant across a 10× noise range under RandomForest SIMULATION Verdict: SNR_MONOTONIC_SUPPORTED. Substantive reading: δ*(0.7) = 0.20 identically across all four noise scales spanning a 10× range. Positive control (IDENTITY vs NOISE_CONTROL AUC ≈ 1.0) passes at every level. Realization theorem passes at every level. The discriminability boundary is not SNR-limited under RandomForest. COMPUTATIONAL · four fresh simulations at noise_scale ∈ {0.05, 0.10, 0.20, 0.50}, full CRP-022 protocol at each level.
O0-CRP-027 Track 2 R4 · Fresh-World Replication of CRP-022 — δ*(0.7) shifts one grid step to 0.10 on independent seeds REPLICATION Verdict: APPROXIMATELY_REPLICATED. Substantive reading: on fresh worlds, δ*(0.7) = 0.10 vs the CRP-022 value of 0.20 — one δ-grid step below. AUC at δ = 0.10 crosses the 0.7 threshold (0.701) in this replication vs staying just below (0.643) in the original — threshold-crossing sampling variance, not a contradiction. True asymptotic boundary is likely δ*(0.7) in [0.10, 0.15]. COMPUTATIONAL · direct replication on 30 independent fresh world seeds (15000–15029, trial_offset=200_000).
O0-CRP-028 Track 3 R3 · NK-Model Scaling Toward Biological Realism — sufficiency of known forces holds at N=50, G=2000 SIMULATION Verdict: SUFFICIENCY_SCALES. Substantive reading: all five preregistered sufficiency criteria pass at 25× larger genome and 4× longer evolution than CRP-023. Mean |Δ vs theoretical adaptive-walk bound| = 0.087 (below 0.10 tolerance). Tournament selection beats random search by ≥ 0.05 fitness gain at every K. Random search shows no gain. Frozen stays constant. High mutation regresses. Hatcher's empirical-sufficiency premise does not gain force at biological-adjacent scale. COMPUTATIONAL · 320 evolutionary runs (4 configs × 4 K values × 20 seeds), N=50, P=100, G=2000.
O0-CRP-029 Track 1 R1 · Fair-Comparison Robustness — VAR beats or ties learned-Kalman across 6 (d, k) observability regimes at 3 horizons REPLICATION Verdict: FAIR_COMPARISON_ROBUST. Substantive reading: in all 6 regimes at all 3 horizons (18 cells), VAR (unified representation) ties or beats learned-Kalman (explicit self/world separation). 0 of 18 cells show significant advantage for the explicit-separation architecture. Combined with CRP-021, coverage is now 9 regimes × 3 horizons = 27 cells with 0 cells against. COMPUTATIONAL · 6 regimes (d ∈ {4,8,16}, k ∈ {1,2,4,8}) × 20 seeds × 3 horizons.
O0-CRP-030 Track 2 R3 · Discriminability in Nonlinear Universes — CRP-022 pattern preserved under tanh dynamics SIMULATION Verdict: PATTERN_PRESERVED. Substantive reading: under a saturating tanh nonlinearity, δ*(0.7) = 0.20 identical to the linear case. Matched-dual AUC = 0.387 (in chance band). Realization theorem holds bit-identically (IDENTITY and MATCHED_DUAL use identical M and noise). Nonlinearity dampens discriminability slightly at small δ (AUC=0.53 at δ=0.10 vs 0.64 linear) but the boundary at τ=0.7 is unchanged. COMPUTATIONAL · CRP-022 protocol under z_{t+1} = tanh(M z_t) + w_t nonlinear dynamics on 30 fresh world seeds (18000–18029).
O0-CRP-031 Track 2 · Cross-Class Discriminability across Five Canonical Dynamical Systems REPLICATION Preregistered verdict for δ*(0.7) numeric invariance: CLASS_SPECIFIC (only 2 of 5 systems in class). Emergent finding: matched-source indistinguishability + realization theorem replicate across ALL 5 canonical dynamical classes (5 of 5). Exploratory finding: in Lorenz-63 and Van der Pol, no δ up to 1.0 produces detectable discriminability — chaotic dynamics apparently erase source-observation coupling structure from low-order features. COMPUTATIONAL · CRP-022 protocol replicated across linear-Gaussian, Lorenz-63, Rössler, Kuramoto, and Van der Pol systems on 30 fresh world seeds (20000–20029), 300 trials × 11 conditions × 5 systems = 16,500 trajectories.
O0-CRP-032 Track 2 · Confirmatory Test of the Chaos-Washout Finding — Longer Trajectories + Higher-Order Features REPLICATION Preregistered verdict on chaos-washout hypothesis: PARTIALLY_CONFIRMED. Lorenz-63 recovers clean discriminability with δ*(0.7) = 0.5 at T=1000 + augmented (was NEVER in CRP-031). Van der Pol partially recovers with δ*(0.7) = 0.7 (was NEVER in CRP-031). CRP-031 exploratory chaos-washout observation was substantially a measurement-weakness artifact — corrected-down. Matched-source indistinguishability + realization theorem preserved in both systems under stronger measurement (Lorenz 0.437, VdP 0.438 matched-dual AUC — both in chance band; realization bit-identical at T=1000). CONFIRMATORY COMPUTATIONAL SIMULATION · T=1000 with 226-feature battery (146 base + 80 augmented: nonlinear cross-corr, mutual information, permutation entropy, transfer-entropy proxy, Lyapunov) on Lorenz-63 and Van der Pol networks, 30 fresh world seeds (21000-21029), 200 trials × 11 conditions × 2 systems = 4,400 trajectories at T=1000.
O0-CRP-033 Track 2 · Capacity Ceiling — Dimensionality Scaling to n=32 REPLICATION Preregistered verdict: SCALE_INVARIANT. Matched-source indistinguishability holds at every n (matched-dual AUC 0.347, 0.307, 0.306 — all in chance band). Realization theorem bit-identical at every n. Positive control passes (AUC=1.0) at every n. δ*(0.7) BECOMES MORE SENSITIVE at higher dimensions (0.20 → 0.20 → 0.10) — additional channels give the classifier more coupling signal to integrate over. Directly answers "n=8 is a toy dimension" critique: finding survives 4× dimensionality scaling and 9× feature-count scaling. COMPUTATIONAL SIMULATION · CRP-022 protocol scaled to n_total ∈ {8, 16, 32} in linear-Gaussian dynamical systems on 30 fresh world seeds (22000-22029), 200 trials × 11 conditions × 3 n-levels = 6,600 trajectories.
O0-CRP-034 Track 2 Physical-Data Leg — Matched-Source Indistinguishability Holds in Real ECG REPLICATION PHYSICAL_HOLDS. All four preregistered rules pass: positive control AUC = 1.0000, shuffled control AUC = 1.0000, matched-source AUC = 0.4514 (in chance band [0.30, 0.70]), no-overlap check pass. Extends Track 2 finding to real physical measurements from a signal recorded in 1980 that predates all modern ML infrastructure. Directly addresses the "AI research — models based on AI infra not human beings" critique. Documents an epsilon-control classifier artifact (AUC = 0.008 on bit-identical inputs) and corrects a wording error in O0-PAPER-001 v1.0.0. REAL PHYSICAL MEASUREMENT · MIT-BIH Arrhythmia Database ECG record 208 (~1980), 108,000 samples at 360 Hz, delay-embedded to 8-channel trajectories, N=200 per class.
O0-PAPER-004 Known Evolutionary Forces Reproduce Theoretical Order-Increase in NK Fitness Landscapes: A Sufficiency Test of Hatcher's Empirical Premise SCIENTIFIC PAPER PUBLISHED · single-study paper wrapping O0-CRP-023. Verdict: SUFFICIENCY SUPPORTED. Known mutation + selection produce order-increase matching theoretical prediction; Hatcher's specific empirical premise not supported in silico at N=20, G=500. FORMAL SCIENTIFIC PAPER · IMRAD-format wrapper around O0-CRP-023.
O0-PAPER-005 NK-Model Sufficiency Scales to N=50, G=2000: Order-Increase Sufficiency Robust to 25× Genome and 4× Time Increase SCIENTIFIC PAPER PUBLISHED · single-study paper wrapping O0-CRP-028. Verdict: SUFFICIENCY_SCALES. All five preregistered sufficiency criteria pass at N=50, G=2000; tournament-vs-random gap does not close with scaling. FORMAL SCIENTIFIC PAPER · IMRAD-format wrapper around O0-CRP-028.

Methodology · 3

IDTitleTypeStatusEvidence
O0-SCOPE-002 Claim Registry — Every empirical claim mapped to its evidence chain SYNTHESIS Foundational document. Registers 10 empirical claims (C001-C010) and 6 out-of-scope claims (OOS001-OOS006), each with stable ID, evidence chain, scope, falsification criterion, and machine-readable JSON form. Also maps four common external critiques to the specific claim IDs that engage them. META · machine-readable registry of every archive claim with stable IDs, evidence chains, scope statements, and falsification criteria.
O0-SCOPE-001 Scope-and-Bounds Statement for the Research Program SYNTHESIS Foundational document. States exactly what the archive claims, what it does not claim, and what auxiliary interpretations it rejects. Written proactively so that critique can proceed against the actual research object rather than a projected one. META · formal statement of program scope, supported claims, unsupported claims, and preregistered responses to common critiques.
O0-PAPER-001 Matched-Source Indistinguishability Across Canonical Dynamical Systems: A Preregistered Multi-Axis Robustness Study SYNTHESIS PAPER Program-level synthesis paper in IMRAD format. Structural finding (matched-source indistinguishability + state-space realization) replicates 16/16 across all axes tested. Numeric finding (specific δ*(0.7) value) varies from 0.10 to unreachable — not a universal constant. One exploratory finding (CRP-031 chaos-washout) was corrected under preregistered confirmatory measurement upgrade (CRP-032). Registers findings against claim registry C001-C010. FORMAL SCIENTIFIC PAPER · IMRAD format synthesis of nine preregistered studies (CRP-022, 024, 025, 026, 027, 030, 031, 032, 033) covering eight orthogonal robustness axes and 30,000+ trajectories.

Structural · 2

IDTitleTypeStatusEvidence
T1-EMPTY-THRONE T1 · The Empty Throne — Parameter-manifold geometry at ML fit SIMULATION INCONCLUSIVE overall. LTI: PROVISIONAL SUPPORT; R1a mechanism (ker(C) unobservable-subspace freedom) qualitatively upheld by T1-R2 (strict prereg INCONCLUSIVE; exploratory corroboration d=0 on all 4 original-seed square-C fits). T1-R6 strict prereg REFUTES driven by baseline failure (d(α=0)=0; α-trend uninformative); T1-R6b registered. MLP/GP: UNSUPPORTED. COMPUTATIONAL SIMULATION · preregistered linear-detection study of parameter-space manifold structure at ML fit. Three source classes (LTI with C fixed, small tanh MLP, RBF GP) plus two adversarial controls. v1.1.0: T1-R1 + T1-R1a. v1.2.0: T1-R2 square-C falsification + T1-R6 nonlinear-observation α-sweep.
T2-NETI-NETI T2 · Neti Neti — Structural (a)symmetry between unification and reportability at ML rate-distortion equilibrium SIMULATION UNSUPPORTED at aggregation (v1.0). Fragile positive instances: A2_relu_dz2 and A3_tanh_dz4 both satisfy the strict signature on 2/3 seeds at D1 β=128. A3 shows null-exceeding asymmetry on 2/3 datasets (D1, D2). No test arch shows the strict signature on D3 (rings). v1.1.0 T2-R2: H_MIXED_WINS on D3 — nonlinear MLP probe recovers partial class information at moderate β that linear probes miss; genuine absence at deep collapse; capacity enhancement in A3 (mlp_μ up to 0.632). v1.2.0 T2-R2a power test with 15-seed pool: F1_INTERMEDIATE at D1 β=128 for H_STRICT — A3 stabilizes at 9/15 = 60.0% [Wilson 95% CI 35.7, 80.2] while null control produces 0/15 = 0.0% [0.0, 20.4]; A1 at 6/15 = 40.0%; A2 short of 7/15 hurdle at 5/15 = 33.3%. F2_STABILIZES at D3 β=8 for H_LINEARLY_HIDDEN — A3 reaches 10/15 = 66.7% [41.7, 84.8] vs null 3/15 = 20.0% [7.0, 45.2], a 46.7 pp gap. At D3 β=32 the effect disappears (A3 3/15 vs null 1/15). Fragile positive instances established as SYSTEMATIC capacity-dependent effects above null baseline, not seed-lottery noise. Reachable but not inevitable. COMPUTATIONAL SIMULATION · preregistered rate-distortion probe of the β-VAE family plus linear-Gaussian null and two-pathway positive controls. 315 fits: 3 test arches × 3 datasets × 7 β × 3 seeds, plus 2 controls on same seed grid. v1.1.0: T2-R2 nonlinear-probe follow-up (deterministic reuse of same 315 fits) with small MLP probe on 250/250 test split. v1.2.0: T2-R2a power-analysis follow-up (12 additional disjoint seeds, focused (kind, dataset, β) scope, merged 15-seed pool per configuration; 288 new fits + 72 old-seed re-evaluations = 360 total, 0/360 determinism failures).