The atlas
Every work in the programme, placed as a chart of the law: what is bounded, which chart applies, what state the claim is in, and — the column that matters — what would move it. A row with no next test is a row that cannot be wrong, and it does not belong here.
P proven, or classical with a citation · D derived, awaiting checking · H hypothesis with a stated loss condition · M mixed statuses within one work · X outside the law's conditions or explicitly refuted · U status needs classification
10 proven · 5 derived · 5 open · 11 mixed · 3 outside or refuted · 5 unclassified. The full status text stays visible in each row. The law applies only where its four conditions hold.
Core · 1
| Tag | Work | Status detail | Bounded quantity | Chart | Next test | Last result |
|---|---|---|---|---|---|---|
| D | The Universal Hyperbolic Law (capstone) | D; capstone v2.1 prepared for specialist review (contains P/D/H claims) | any bounded lawful quantity | all | Section 13 protocol | v2.1: one replication (effect scales), one refutation (H1 alpha form) |
Foundations · 4
| Tag | Work | Status detail | Bounded quantity | Chart | Next test | Last result |
|---|---|---|---|---|---|---|
| P | Bounded composition forces interior existence | P; its §8 higher-dimensional remark superseded by 6914800 | interval with interior identity | group case | specialist check of Cor 7.1 (Banach fixed point in rapidity) | |
| P | Bounded compositional geometry: interior-identity universality | P (author preprint) | interval | group case + Möbius enrichment | specialist check of Theorem A (n<=3) and Prop 5.1 for general n | |
| P | Classification of bounded composition laws with reassociation defects | P (author preprint); main theorem | bounded ball | flat (F) vs Einstein (H); holonomy is the selector | specialist check of Theorem 6.3; the open SO(2) case at n=2 | |
| P | Lawful coordinates in bounded science: the Euclidean error | P; "positive affine" corrected to positive scale | bounded observables | correspondence principle | repeat the SynergyFinder illustration with triple combinations (associativity) | SynergyFinder illustration: Bliss chart best of those compared (no associativity test) |
Life chart: evolution and ecology · 3
| Tag | Work | Status detail | Bounded quantity | Chart | Next test | Last result |
|---|---|---|---|---|---|---|
| M | Projection geometry of the niche-neutral debate | P / H | species frequency | flat log-ratio simplex; hidden current | time-reversal asymmetry | |
| P | Dominance hides in the bend (diploid selection) | P | allele frequency | logit with state-dependent increment | mid-frequency sampling | |
| H | c-ring stoichiometry and energetic slack | H (proposed chart) | forward-step fraction (proposed) | two-horizon via detailed balance (Thm 15); boundary-binding = neutral state | affinity scans; D_env x q_eff |
Life chart: homeostasis · 6
| Tag | Work | Status detail | Bounded quantity | Chart | Next test | Last result |
|---|---|---|---|---|---|---|
| M | Hormesis as a geometric necessity (published, Dose-Response) | D / H (published); locking is an extension [H] | viability | two-horizon; independent additive increments (not coupled) | Calabrese zero-fit predictions; recovery-rate slowing near the adaptation threshold (Theorem 16) | |
| H | Response-coefficient attenuation predicts hormetic peak | H | viability | generator (1-x0^2) baseline scaling | P6 baseline-stratified reanalysis | |
| M | Plant–sensor–controller–surveillance architecture | D / H | redox state | failure typology | P11 timescale-stratified hormesis | |
| U | Glutathione homeostasis (published, Redox Biochem Chem 17:100084) | E (G6PD calibrated) / H (NAC) | GSH pool | boundary-equilibrium bistability; reductive fade (non-arrival) | NAC-in-NSCLC (Mode 2) | |
| H | Finite rescue windows and redox commitment | H; under major revision (Advances in Redox Research) | redox commitment | Riccati hyperbolic-to-elliptic passage | depth x duration x rescue design | |
| U | Architectural classification of bounded adaptive systems | synthesis; "rapidity is forced" corrected (§2.4) | adaptive state | five-law dial + failure typology (synthesis) | none: synthesis; tests belong to L-PS, L-GSH, L-09 |
Life chart: pharmacology · 5
| Tag | Work | Status detail | Bounded quantity | Chart | Next test | Last result |
|---|---|---|---|---|---|---|
| P | The five Möbius composition laws | P under marked-triple hypothesis; "exactly five" exhaustiveness false in general | fractional effect | one-horizon dial | H1 restated on NCI-ALMANAC or DrugComb | H1 alpha form refuted on DECREASE |
| U | Universal composition law for bounded pharmacological observables | superseded by L-06 (Bliss-parabolic error corrected) | fractional effect | Aczél family | none: superseded by L-06 | |
| M | Aczél-family composition in bounded pharmacology | P / H | fractional effect | mechanism-selected generator | H1 restated (Loewe vs Bliss surfaces) on screens with replicates and many shared-target pairs | H1 alpha form refuted on DECREASE (rho=-0.12, p=0.76; reproduced independently) |
| M | Acute dose-response curve as a transition potential | P / H | dose response | Bliss / monoid (-log S); kinematic and dynamic closure | gap ladder; semigroup test | |
| U | When equal BED is not equal biology | P / E / H | radiobiological effect | affine rapidity maps keep order in 1D; pooling | frozen reversal pair 6+12 vs 12+6 Gy |
Mind chart · 4
| Tag | Work | Status detail | Bounded quantity | Chart | Next test | Last result |
|---|---|---|---|---|---|---|
| H | Precision-gated attractor reversal | H | recovery state | locking and slip | pre-registered attractor-reversal test on recovery data | |
| M | Rapidity coordinates for bounded belief | P / H | belief | Einstein composition; coupled rapidities | dual-EEG relative-rapidity test (sinh needs A5-A6) | |
| M | IDA and the Boundedness Engine | P under operational definition / H (device) | awareness state | generator-chart return geometry; residue | IDA Live experiments | |
| M | Thresholded Adaptive Orchestration (TAO) | D / H | player and world state | typed bounded charts | assignment reliability H5 |
Observer and state · 9
| Tag | Work | Status detail | Bounded quantity | Chart | Next test | Last result |
|---|---|---|---|---|---|---|
| P | The Observer and the World: projective shadow and empirical grammar | P | ratio-read two-channel state | observation projection (converse, Riccati) | Point-Map Gate; cross-ratio fingerprint | |
| P | The Observer and the World | P | ratio-read two-channel state | state-law descent; revised series of 7347861 | matched-present HepG2 protocol | |
| P | Predictive Closure | P | predictive state | predictive closure; curvature as obstruction to abelianization | independent check of Theorem 5; apply to an ordered-exposure dataset | |
| M | A Law of Biological State Sufficiency | P (classical) / H (prevalence) | biological state | state-law descent (disclaims universal hyperbolic geometry) | matched-present tests | |
| M | From Predictive State to Viable Action | P / H | action-sufficient code | action quotient, coarser than Thm 10 | held-out action selection before rescue deadline | |
| D | Epistemic Type Safety for Generative AI | D | AI assertion state | state sufficiency | demonstrate an advantage on a real model benchmark | |
| D | Recursive Predictive Closure in the Prime Sieve | D | residue-class frequencies | state sufficiency | held-out gap-word prediction on a new prime range | |
| D | Prime-residue projection tomography of consecutive-prime biases | D | residue-class frequencies | state sufficiency | held-out residual test on a new prime range | |
| M | The Temporal Architecture of Living Nature | P / H | biological state | terminal additive compression; forward-invariant regimes | order-vs-gap matrix |
Physics chart · 4
| Tag | Work | Status detail | Bounded quantity | Chart | Next test | Last result |
|---|---|---|---|---|---|---|
| P | Bounded reflection and Möbius composition | P for 2D; 1D artanh step corrected | reflection coefficient | Poincaré disk | measure the Wigner angle of two composed multilayers against Barriuso et al. 2004 | |
| D | Bounded composition and deformed kinematics | D; "forces Einstein" claim repaired via rigidity (§8.1) | momentum | maximal momentum | cosmic-ray bounds | |
| U | Invariance signature of public quantum measurement archives | L | quantum measurement records | exchangeability tests | exchangeability test on archive data, with the mapping to a UHL quantity defined first | |
| H | Coefficient-locked test of the exoplanet radius valley | H (proposed chart) | retained envelope fraction (proposed) | multiplicative monoid (proposed); paper min-slack is Case II | zero-order loss audit |
Outside UHL · 3
| Tag | Work | Status detail | Bounded quantity | Chart | Next test | Last result |
|---|---|---|---|---|---|---|
| X | Two operators in the g debate | outside conditions | — | — | Outside UHL; require a measurable bounded cognitive outcome and a tested composition law before reevaluation | |
| X | Compulsory antipsychotic treatment: evidentiary standard | outside conditions | — | — | Outside UHL; require a bounded treatment outcome and intervention composition meeting C1-C4 before reevaluation | |
| X | The measurement gap in coercive psychiatry | outside conditions | — | — | Outside UHL; require a bounded measurement quantity and lawful composition meeting C1-C4 before reevaluation |
Source of record: registry/atlas.csv. This page is generated from it by
site/build_evidence.py, so the two cannot drift apart.