Lexicon
Glossary
One-sentence definition, layer in the stack, claim status, canonical article. Frozen letters sit first so a new identity cannot silently reuse them. Literature objects (BKM, Codazzi, KKS) are not program laws (Genesis Pin, QRSL, HCPR, QMAR, g★).
Freeze notation
These symbols are locked as of the 12 Sep 2026 compile. Canonical one-liners are this page. Full lock notes live on the freeze-notation article.
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F
Restricted00 Astra
Singlet overlap. Frozen bound F ≤ (k+1)/(2k) on one qubit with k equal pair partners.
5 Sep 2026. Do not reuse F for a gravity coupling.
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t*
Restricted00 Astra
Finite-model phase marker t* = 13/33.
5 Sep 2026. Not a physical time.
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d(t)
Restricted00 Astra
Compatibility-distance. Frozen curve d(t) = [(12√2 − 3)/40] t in the posted finite interpolation.
6 Sep 2026. Not the v9.167 lab family.
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R_t
Restricted02 Pruning-order history
Retained information state, distinct from the visible state G_t.
Live 2026 object. Do not collapse onto G_t.
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H₄
Restricted07 L4
L4 hyper-associator residual. Rank lift 1 in certified finite sectors.
6 Jun 2026. Projecting it away is treated as cheating.
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A
Supported08 Atlas / scalar
Accessibility density A = exp(C − μ + η repair).
V824 scalar/conformal. Not a tensor Einstein symbol.
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χ
Open09 Package 17 / gravity
Mixing weight in the affine bridge Ψ = χ G_t + (1−χ) R_t.
Package 17 must derive χ. Do not treat a fitted χ as closure.
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ε*
Not claimedHistorical / not claimed
2025 Origin Law threshold ≈ 4.97×10⁻⁵.
Quarantined. Do not reuse as a 2026 supported constant.
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V[Ω,C,μ]
Open02 Pruning-order history
Named Lyapunov candidate after the 17 May recoverability-framework freeze.
Named, not closed. Not GR.
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Q_i
Open02 Pruning-order history
Shared source generator that would align incident edges before geometry exists.
23 Jul 2026 gate. Not generated from admissibility + BKM reciprocity alone.
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A_G
Open03 Admissible slice
Admissible body: a poset of retained supports, not yet a unique history.
20 Jul 2026. A unique pruning law through A_G remains open.
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Ω
Restricted02 Pruning-order history
Conformal recoverability factor in g_eff = Ω² g0 in the posted toys.
V505/V760 toys. Not Einstein’s conformal factor.
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Ω_ρ
Restricted00 Astra
Kirillov–Kostant–Souriau form Ω_ρ(A,B)=−i Tr(ρ[A,B]). Not the conformal factor Ω.
10 Sep 2026. Ω_ρ is not Ω.
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C_A
Restricted00 Astra
Moment-map generator C_A(ρ)=Tr(ρ A). On Paulis {C_x,C_y}=2 C_z.
10 Sep 2026. Not a gravity generator.
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Δ_closure
Restricted00 Astra
Residual of the generator law. Exact branch 0; broken control max 0.297 on the posted seed.
10 Sep 2026. Filing this as ADM or Einstein is a failure.
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g_★
Restricted00 Astra
Conditional protected-source coefficient K_α^U=g_★ n J_α(t_α) ∀α. Not a gravity derivation.
8 Sep 2026. X-only Restricted identity.
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D_N
Restricted00 Astra
N-cycle difference operator. After h=1/N the inverse converges to 1/(2π). Gravity connection open.
9 Sep 2026. X-only Restricted identity.
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QRSL
Restricted00 Astra
Quantum Refinement Selector Law. Irreducible relative to the current frozen ontology. Genesis Pin is a ledger, not a selector.
12 Sep 2026. GitHub-only. Do not file as a gravity selector.
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HCPR
Restricted00 Astra
Hidden-completion phase rigidity. Not a function of the current frozen ledger. Same one- and two-body data, different rigidity.
12 Sep 2026. GitHub-only. Restricted no-go, not gravity.
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QMAR
Restricted00 Astra
Quantum Metric-Affine Response. Finite-state first-order response with CMI error O(√CMI). Not Einstein.
12 Sep 2026. GitHub-only. Do not file as ADM or a stress-energy law.
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A
Accessibility density A
SupportedFrozen
08 Atlas / scalar
Reachable-state density A = exp(C − μ + η repair).
Spatial compression of log A is the operator behind the V824 curvature proxy. Scalar/conformal sector only.
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Admissible body A_G
OpenFrozen
03 Admissible slice
The collection of admissible retained supports; a poset, not yet a unique history.
Provenance ranks collections by support inclusion. A law selecting a unique pruning sequence through A_G remains open (20 Jul 2026). 23–25 Jul: reciprocity and focusing are separate layers; Q_i is still the open gate.
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Astra
OpenFrozen
00 Astra
Pre–Genesis Pin working name for global relational consistency. Open question plus restricted finite identities.
5 Sep 2026 ChatGPT gloss: gravity may inherit universality from a quantum law of global relational consistency. Same week: F-bound, t* = 13/33, d(t) = [(12√2−3)/40] t. Not Origin Law, not a gravity law, not Genesis Pin. New identities this week append here. The 6 Sep 20:05 v9.167 lab is a different family (315 vs 311) and has its own article.
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Atrium metric
Restricted
02 Pruning-order history
g_eff = Ω² g0 emerging under recovery pressure in the V760 sim.
19 May 2026 V760 dual-branch freeze. Space is a throughput map; time is pruning order; gravity-like squeeze is a bounded governor. Posted Python: Tmp/TOE/GR Work/AtriumSimulation.py. Computational fact. Not physical GR or physical time.
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B
BKM map
RestrictedLiterature
08 Atlas / scalar
Bogoliubov–Kubo–Mori observable-response map. Literature object (information geometry), not a program law.
Used as the response geometry of UQCF-GEM: canonical scores, pulled-back response tensors, Codazzi defect, and polar loops from pair marginals. Canonical pointer: BKM inner product / monotone metric on density operators.
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C
C_A
RestrictedFrozen
00 Astra
Moment-map generator C_A(ρ)=Tr(ρ A). On Paulis {C_x,C_y}=2 C_z.
Natural generators of the v12.41 KKS structure. The public simulation checks {C_x, C_y} = 2 C_z across 121 unitary relational transforms.
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C3++ Stability Governor
Restricted
Applied
Runtime telemetry on LLM inference: Strain, Drag, Turn Reliability treated as a recoverability instrument.
25 Mar 2026 Qwen3-4B Hugging Face run. Pink-noise / spectral health is the named retained R_t channel the governor reads (30 Mar hypothesis; GitHub mem_pink_noise_deviation). Supportable thesis: reasoning is a measurable trajectory, not only a graded output. Restricted applied claim — not a hallucination solver, not 1/f proven in all models, and not gravity. Strain/Drag/Turn equations not posted.
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Codazzi defect
SupportedLiterature
08 Atlas / scalar
Failure of a response tensor to satisfy Codazzi-like integrability. Literature object (classical Codazzi–Mainardi), applied here as a finite exponential-family diagnostic.
In the three-binary-node harness: zero at the unbiased point; weak-coupling susceptibility full rank; closed-form A(J), B(J) Grok-verified 1 Aug 2026. Non-potential response is generic inside this finite family. Not all graphs, not a gravity proof. Canonical pointer: Codazzi–Mainardi equations.
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Compiler
Not claimedProgram law
Orientation
Person who batches X + GitHub into this wiki; not an oracle.
Aaron Glenn Spradlin / @aaronspradlin. The wiki is a compile, not a census and not an independent certification.
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Conformal recoverability geometry
Restricted
02 Pruning-order history
g_eff = Ω² g0: recoverability stress changes Ω; curvature-like response is downstream of the metric.
14 May 2026 V505 checkpoint, then V513/V541 theorem-shaped packaging. Weak-form evolution: ∂tΩ = Source − Repair − dμ_defect. Defects localize as measures. Toy continuum object. Not Einstein equations and not a known geometric-flow identification.
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D
D_N
RestrictedFrozen
00 Astra
N-cycle difference operator. After h=1/N the inverse converges to 1/(2π). Gravity connection open.
Posted 9 Sep 2026. σ_min^+(D_N)=2 sin(π/N). Bare inverse ~ N/(2π). Geometry-supplied spacing converts the blow-up into a parameter-free continuum seed. No fitted force law. X-only.
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d(t) compatibility-distance
RestrictedFrozen
00 Astra
6 Sep 2026: d(t) = [(12√2−3)/40] t. Restricted finite identity. Gravity open.
Exact linear compatibility-distance curve covering a full finite-model interpolation. Global consistency fixes the slope and phase boundaries — no fitted response law. Posted 16:01 UTC as an Astra update. Continuum identification still required before any gravity reading.
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DESI prediction ledger
Open
09 Package 17 / gravity
Dated UQCF-GEM calls vs DESI/community results. Directional evolving-DE prior; remaining forms still tests; no-DM is program voice.
5 Mar 2025: dynamic cosmos (Planck C_ℓ D_f=2.4959; redshift as coherence, not time), 14 days before DESI DR2 preferred evolving DE at 2.8–4.2σ. Scored as a directional prior, not uniqueness, not a fitted w(z). 21 Mar restatement is after DR2 public — not scored as a prediction. 30 Apr 2026 w(z) / A_L ≈ 1.15–1.25 / cluster-core +10–15% at z>0.5 remain open tests. 4 Apr frozen DESI operator is a recorded null. #nodarkmatter is program voice; DESI still uses CDM. Challenge 14 / WALLABY stay Restricted, not a DM disproof.
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F
F-bound
RestrictedFrozen
00 Astra
Singlet overlap F ≤ (k+1)/(2k) forced by global consistency.
Posted 5 Sep 2026 for one qubit with k equal pair partners. No fitted response law. The gravity connection is explicitly left open.
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For researchers and models
Open
Orientation
Citation contract for this compile. Badge rules, spine map, what not to promote. Machine map: /llms.txt.
X is the archive of record. This wiki is a batch index, not a census and not a TOE. Four Supported harnesses only. DESI DR2 evolving DE is not a no-dark-matter confirmation. Challenge 14 / WALLABY stay Restricted. Keep claim-status in every retrieved snippet.
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Forced geometry
RestrictedProgram law
Orientation
Structure that survives from identities that cannot be erased — not a metric put in by hand.
21 Sep 2026 public voice. Do not smuggle entropy, area laws, causal order, or a metric, then derive the rest. Pairs look geometric; three-way combinations produce an associator that will not reduce to pairs. Restricted / public voice. Matching GitHub freeze v15.43: source correspondence NOT_EVALUATED. Einstein not closed.
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Frozen v9 protein bridge
Restricted
Applied
1UAO / 1L2Y backbone-ordering transfer of the UQCF-GEM bridge layer. Author score 7.6/10.
12 Apr 2026. Angle RMS improved; 1L2Y RMSD p = 0.0655 (not decisive); contact recovery mixed. Explicitly not full folding and not a TOE proof. Different harness from Villin HP35 R_t two days later.
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G
g_★
RestrictedProgram lawFrozen
00 Astra
Conditional protected-source coefficient K_α^U=g_★ n J_α(t_α) ∀α. Not a gravity derivation.
Posted 8 Sep 2026. Each matter sector already has K_α=g_α n J_α(t_α). Quantum consistency does not force equal gains. One signed coefficient before sector specialization is the unique response that survives erasure of matter-sector labels. X-only in this compile.
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G_eff,total
Not claimed
Historical / not claimed
3 Mar 2025 Lorentzian interpolant in d_C from the TOE announcement. History, not adopted.
Posted as G_eff,total(d_C) = G[1 + α(φ₀ ℓ_Pl / d_C)² + weak/strong Lorentzian poles]. Symbols as posted. Not a gauge unification and not Package 17. Equations live on the ToI / TOE article. 2026 packets left Einstein/ADM open.
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Genesis Pin
RestrictedProgram lawFrozen
01 Genesis Pin
Provenance identity locked before any charts exist.
The first object in the causal stack. A ledger of source identity, usually SHA-256-frozen, so later geometry-like structure can be tested for retained history rather than coordinate consistency alone.
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Geometry cannot validate itself
Restricted
01 Genesis Pin
A clean metric is not enough if the structure cannot be traced to an admissible history.
1 Jun 2026 BPI2014 traces: M_total = C_topological × P_sequence × E_arrow. Static topology can fake shape; it cannot fake valid history. Restricted operational claim, not GR.
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H
HCPR
RestrictedProgram lawFrozen
00 Astra
Hidden-completion phase rigidity. Not a function of the current frozen ledger. Restricted no-go. Not gravity.
v13.10 GitHub-only. Same one- and two-body data, different rigidity. Irreducible relative to W1/W2/W3 + atlas. Same moral as 315 vs 311: same response is not the same reality.
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Heat-kernel response
Open
02 Pruning-order history
Local ΔH_x(τ) = diag(e^{−τ L_f}) − diag(e^{−τ L_0}) as the GR-bridge residual channel.
7–9 May 2026 week after Package 17. Frozen dx²/long operator; heldout spatial-R 25.15% → 16.55%; next object δρ = A·q. Inverted direction: do not discretize Einstein–Hilbert. Full ADM action still open.
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Hofstadter
Not claimed
Historical / not claimed
2025 Harper-lattice / butterfly on-ramp to Phase-N. Not a 2026 lattice theorem.
March 2025 posted Harper’s equation and a 256-qubit coherence chart (D_f = 2.7387, α = 0.618). October restated it as an Ani video plus hofstadter_phi kernel, then Phase 5.1–5.6 qubit kits. 2025 visual + kit era. Kits stay on X. Not claimed.
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Holonomy
Restricted
08 Atlas / scalar
Loop defect of transport; here, retained-history holonomy or BKM response holonomy.
Two live meanings: (1) five-chart composite transport in V1698; (2) pair-marginal BKM polar loop on W states with spectrum {−1,+1,+1}. V1688’s “directed native holonomy” was downgraded (10 Jun 2026) to non-reciprocal directed transport. Neither is a gravity theorem.
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Hubble tension
Not claimed
09 Package 17 / gravity
Local H₀ (~73.5) vs early-universe ΛCDM (~67.2). Aaron posted a UQCF-GEM proxy, not a claimed resolution.
13 Apr 2026: H0DN local H₀ = 73.50 ± 0.81 km/s/Mpc, ~7σ vs ~67.2. Offered a ~9% late-time coherence-gradient recalibration; “full equations plug-in next.” 27 Mar: D_f = 2.523948 sim 67.4 → 73. 30 Apr: posted w(z) sketch plus A_L ≈ 1.15–1.25 and cluster-core +10–15% at z>0.5. 5 Apr: redshift as coherence history. 5 Mar 2025: redshift as coherence, not time. 4 May: Quintom-B literature thread. All stay not-claimed. Package 17 still lists Friedmann / BBN / CMB as open seams.
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I
Identity lock
Not claimedProgram law
Orientation
This Aaron Glenn Spradlin / United Planners / @aaronspradlin. Not the Tennessee namesake.
VP and CTSO (also styled CIO). FINRA CRD 2492758. Scottsdale firm HQ. Do not ingest Pale Horse / Mission America / airborne service as this compiler.
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Illusion of yes
Not claimedProgram law
Orientation
Ungoverned AI adoption in a regulated firm.
ThinkAdvisor 17 Jun 2026: not no, not the illusion of yes. Industry channel. Not a UQCF-GEM result.
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it from bit
RestrictedFrozen
01 Genesis Pin
Wheeler’s slogan as prior art. Here the freeze is bind + order; projection to metric physics remains Open.
10–11 Jun 2026: geometry-like closure only counts as retained when the Genesis/provenance ledger plus source, support, and update-order admissibility survive. V1688 holonomy reading was Corrected the same week. V1698 is the Supported discrete atlas residual. The mouse is a Restricted toy. Not a Wheeler theorem and not GR.
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J
J_R current
Open
08 Atlas / scalar
Retained source current on chart boundaries.
Pillar 2 target is source-balanced compatibility D_Γ R_Γ = J_R rather than automatically source-free curvature.
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L
L3 / T_H / D_L3
Restricted
06 L3
Hyperedge memory layer plus entropy-order curvature driver.
Described as geometry-plus-information. Associator obstructions live here and are not to be projected away. Sits above closed L1 and L2 in the causal stack.
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L4 / H4_perp
RestrictedFrozen
07 L4
Hyper-associator residual; an irreducible obstruction layer.
The atlas “final boss” protects this layer. Projecting it away is treated as cheating the retained-history rules.
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Lineage addressability L_t
Restricted
03 Admissible slice
Retained branch structure needed for future adaptation.
Added when A_t = M_t × R_t predicted immediate recovery but not delayed collapse. Enters S_t = M_t × R_t × L_t.
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M
MECP2 Rett campaign
Restricted
Applied
Aug 2025 19-run MBD–DNA audit. InterfaceAnneal seats R106W and R133C. Run 5 is a DEVIATION.
GitHub-only. Engine abstract: 15 CONFIRMED, 1 DEVIATION, 3 INDETERMINATE. Unrescued R106W was contracted at RMSD ≥ 20 Å and came back 3.06 Å. Not a Rett therapy.
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MTP₂
Restricted
02 Pruning-order history
Multivariate total positivity of order 2 — a sufficient focusing / association law on commuting variables.
25 Jul 2026: trees glue local MTP₂ globally; cycles can frustrate. Exact triangle counterexample. Square still numerical. Reciprocity does not imply this sign.
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N
New Critical Path
Restricted
Applied
Live-plan operator: preserve coherent commitments, deform stressed ones, reset only the stale.
1 May 2026 Python transfer of the remember-what-survived pattern into a plan already in motion — not a static Gantt chart. Posted as recurrence across quantum, fractal, protein, SPARC. Restricted applied transfer, not a unification proof.
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Normalized adaptive reachability A_norm
Restricted
02 Pruning-order history
A_norm = A(t)/A_baseline. Collapse when A_norm < A_c ≈ 0.53–0.58.
12 May 2026 V300 Retained Atlas Resilience Stack. Across topology/noise/memory variants, normalized reachability predicted collapse at AUC ≈ 0.99 on the posted toy. Predecessor of V395 A_t. Exploratory toy-model law. Not GR, not physical spacetime.
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O
objective-reduction timescale
Open
09 Package 17 / gravity
4 Sep 2026 question: t = ħ/E from a recoverability object E. Open, not a result.
If recoverability deformation and support-loss pruning exist before time or geometry, what object becomes the gravitational self-energy E that sets Penrose’s t = ħ/E? A lab measurement would constrain the priority of the timeless layer. Gravity is not claimed.
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Origin Law
Not claimed
Historical / not claimed
14 Oct 2025 freeze of ε* as a universal law of emergent time. Reading list, not claimed.
Posted after Ω-Lock / Ω² / Ω³: freeze ε* ≈ 5×10⁻⁵ across cosmic, quantum, and neural toy channels and invite a public leaderboard. 2025 posture was one number across every substrate. 2026 packets (Package 17, V824, V1698, claim badges) walked that universality back. The wiki reconstructs the week as a not-claimed reading list.
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P
p53 campaign (Labs/p53)
Restricted
Applied
Aug 2025 12-run coarse-grained DBD study: R248Q electrostatic vs Y220C kinetic trap.
GitHub-only in this compile. WT also misfolds to 26.6 Å — mechanism differentiation, not native folding. Contact-anneal + PhiKan083 improved Y220C inside this force field. Not a cancer therapy.
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Phase-N
Not claimed
Historical / not claimed
Oct 2025 numbered Grok-challenge kits that inject a tiny echo and audit four prereg metrics. Not claimed.
Phases 5.5–43 plus Ω / Ω-Lock / Ω³ / Phase-NN. Each kit injects ε sin(2π f t) into a toy channel (qubits, CMB/PTA, EEG, LLM grads, Brusselator, inflation, AdS/CFT, LQG, causal sets, neural filters, evolution) and hunts the first δ that jointly passes TRw, |ΔPE|, p_emp, prod_frac. Kits stay on X. Every PASS is a 2025 notebook item unless a later packet promotes it. None has.
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Pink-noise regime
Restricted
Applied
Working hypothesis: healthy LLM generation sits in a 1/f-like structured-variation band. Named R_t channel for C3++.
30 Mar 2026. Not maximally ordered, not maximally random. Used to separate factual, creative-stable, attractor-loop, and hidden-instability trajectories. GitHub experiment plan logs mem_pink_noise_deviation beside tension/drift/entropy. Restricted hypothesis. Visuals on the X post are conceptual, not spectrograms.
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Proofs and simulations
Method
Advertised Python harnesses and posted result figures, copied from GitHub and X.
Codazzi verification, W-holonomy replication, V1698 atlas MP4, SPARC/Challenge runners, battery ROC, UQCF visual pack. Not the entire Tmp/TOE tree. Early-2025 cosmology plots are kept as not-claimed notebook images.
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Protected-source response
RestrictedProgram law
00 Astra
Restricted. K_α^U = g_★ n J_α(t_α). Not gravity.
8 Sep 2026. Quantum consistency does not force equal sector gains. Conditional discriminator. Gravity connection remains open.
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Public voice
Not claimedProgram law
Orientation
Industry interviews; not research results.
WealthTech Today, Beacon Flash, G&T Sessions, ThinkAdvisor Perspectives, and related firm interviews. Channel tag: industry only.
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Q
QMAR
RestrictedProgram lawFrozen
00 Astra
Quantum Metric-Affine Response. Finite-state first-order response with CMI error O(√CMI). Restricted. Not Einstein.
v13.11–v13.18 GitHub-only. Conditional QMAR from PGRL/ETL through BKM and polar transport. Jet locality O(‖P‖ √CMI) on faithful polar-gapped strata. Geometry-only autonomous evolution still obstructed.
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QRSL
RestrictedProgram lawFrozen
00 Astra
Quantum Refinement Selector Law. Irreducible relative to the current frozen ontology. Restricted. Not a gravity selector.
v13.23 GitHub-only, 12 Sep 2026. Genesis Pin, recoverability order, W1/W2/W3, positivity, and quotient naturality do not select a canonical fine world. Origin search: STOP. Live Git HEAD is v15.03, not v13.24. Pin is a ledger, not a selector.
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quadratic RG core
Open
09 Package 17 / gravity
Apr 2026 solved core σ*≈0.7333, γ≈0.2667. DESI frozen operator null. Open scaffold.
3–5 Apr 2026 Grok-loop sprint: coefficient-eliminated fixed-point C(σ)(2−σ)=K_ent(σ)²σ, self-consistent interior σ*≈0.7333, η*≈0.7563, D_f≈2.7333, γ≈0.2667. Author: quadratic phase closed at current truncation; remaining gap is microscopic amplitude / ρ=B. Frozen source+propagation operator modestly positive on Planck, null/weak on DESI. 5 Apr method sentence: redshift as a measure of coherence history. The 30 Apr w(z) χ≈0.2667 reuses this γ. Later packets freeze γ=0.2613 = 3−2.7387. Not Package 17 closure.
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Quantum compatibility lab
Restricted
00 Astra
v9.167–v9.171: same pair curve, global completions 315 vs 311. Restricted finite calc. Not v9.156.
Posted 6 Sep 2026 20:05 UTC. Matched four-weight family on three five-level systems. Arrangements A and B share pair spectra and the entire compatibility-distance curve; exact real affine nullities of the optimal global-completion families are 315 and 311. Collective Born probabilities 0.480269472 vs 0.465533202 with pair traces agreeing to 4e-18. Calculated states, not a laboratory observation. Not the v9.156 product-side d(t) family. Gravity connection not established. No v9.172 theorem.
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R
R_t
RestrictedFrozen
02 Pruning-order history
Retained information state, distinct from the visible state G_t.
The load-bearing question of the uqcf_retained_information_state_research_bundle. C3++ and Villin HP35 are telemetry, not the answer. Frozen letter: do not collapse R_t onto G_t.
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RCLC
Not claimed
Historical / not claimed
Retained-Coherence Lattice Cosmology — Grok’s 5 May 2026 name for the program.
Quoted by Aaron the same night as the complete-cosmology overclaim. This atlas keeps the name as historical and keeps cosmological closure off the supported ledger.
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Recoverability
Restricted
02 Pruning-order history
Capacity of a system to restore reachable structure after defect.
Modeled with surplus C, defect burden μ, and a repair field. The update parameter τ is ordered recoverability updates, not assumed to be physical time.
-
Recoverability framework
RestrictedFrozen
02 Pruning-order history
17 May freeze: perturbation → response → restored future trajectory space. Lyapunov of V[Ω,C,μ] named, not closed.
After V555’s synthetic adversarial harness, the invariant was restated as persistence of that mapping rather than stress magnitude. Next named object: freeze V[Ω, C, μ] and prove Lyapunov descent under controlled attacks. Restricted synthesis. Not GR. Heat-kernel week, V498–V555, and V760 stay Restricted and are not promoted.
-
Recursive survival law
Restricted
03 Admissible slice
S_t = M_t × R_t × L_t. Immediate recovery is not delayed-collapse insurance.
13 May 2026: V395 compressed A_t = M_t × R_t; V421 added lineage addressability and blinded generalization. Greedy still wins short-term bad rate; retained law minimizes lineage destruction. Control-law candidate. Not GR.
-
Retained atlas
Supported
08 Atlas / scalar
Local charts that stitch globally under both cocycles and provenance gates.
V1698’s Pillar 1. Inverse, triple-overlap, and holonomy closure plus source/support/order admissibility. Not a manifold postulate.
-
Retained branch identity
Restricted
02 Pruning-order history
Lineage address map that recovers causal geometry after raw-state wipe.
10 May 2026 audit: after 80–90% raw-state damage, preserved lineage addressability recovers observer-compatible causal geometry (corr 0.0 → ~0.32); address erasure collapses it. Hysteresis ~0.10. Python at Tmp/TOE root. Not a GR derivation.
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Rydberg
Not claimed
Historical / not claimed
14 Mar 2025 Semeghini Dataverse quench. Not a 2026 qubit result.
Harvard Dataverse BDCTRX (Semeghini 2021) quoted as τ_coherence = 85.0063 µs, S_eff = 23.0243 k_B, F(k) ≈ 0.00578. Chart + Python. Later restated in the October Hofstadter week. 2025 quantum-stability voice. Not claimed.
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S
Science contract
Method
findings.json: claims with machine-testable constraints.
WetLabEngine primitive (SCHEMA 2.2 / 3.3). UnifiedAuditEngine v5.7 confirms or refutes each constraint against raw CSVs. This atlas ships a Gemini-free reconstruction (wetlab_deterministic_audit.py) that reproduced Labs/MECP2 15/1/3 including Run 5 DEVIATION. Same spirit as TOE package READMEs that lead with claim boundaries. Tooling, not a folding result.
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Source generator Q_i
OpenFrozen
02 Pruning-order history
A common generator that would align every incident edge’s leading source line before geometry exists.
23 Jul 2026 gate: does global quantum provenance canonically generate Q_i? In-thread review: not from admissibility + BKM reciprocity alone. Gravity not claimed.
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Spine
Not claimedProgram law
Orientation
Start here → It from bit → Live gates → Supported four → Falsification. Machine: /llms.txt.
One ingest path for models and humans. Live gates = STATUS.md only. Research ladder is off-main Git, not STATUS. September X-week reel and June causal stack are satellites. Do not glue stacks.
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T
t*
RestrictedFrozen
00 Astra
Finite-model phase marker t* = 13/33. Restricted Astra identity. Not physical time.
Posted 5 Sep 2026 with the F-bound. Locked on the freeze-notation table. Do not reuse t* for a cosmological time or an Origin Law threshold.
-
The Great Grok Challenge
Restricted
09 Package 17 / gravity
Public frozen-scaffold validation series between @aaronspradlin and @grok.
SPARC holdouts, WALLABY transfer, then cluster/lensing “skeptic” rounds. Grok logs win conditions in-thread. Empirical ladder, not a derived cosmology — Package 17 is the derivation sequel.
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ToI
Not claimed
Historical / not claimed
Theory of Integration — Nov–Dec 2024 density-matrix seed later restated as UQCF-GEM. Not claimed.
Posted 18 Dec 2024: entropy operator, non-Markovian memory, Lindblad terms. Pre-UQCF-GEM name for the same first-principles program. Historical on-ramp only. Equations live on the ToI / TOE article. The 2026 ledger does not treat ToI as a supported theorem.
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TSP coherence backbone
Restricted
Applied
Fractal TSP transfer: smoother information-bearing tour, not a shorter one.
11 Apr 2026, 100-point 3D cloud. Nearest neighbor length 1984.6 / coherence 0.2267; UQCF-GEM best-of-20 length 2492.7 / coherence 0.5251. Different objective, not a championship TSP solver. 10k-city vs nearest-neighbor is origin-story, not a published residual.
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U
UQCF-GEM
Open
08 Atlas / scalar
The recoverability-response framework and its gravity-emergence bridge program.
Treats BKM maps, retained recombination, associators, and discrete atlas closure as prior to entropy and geometry. GEM is the still-open bridge toward Einstein-like limits.
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UQCF-GEM reader
RestrictedProgram law
Orientation
Plain-language map of the finite labs. Not a harness dump.
Hiding result, v9.190 reconstruction, g★ discriminator, v12.41 constraint algebra, Codazzi separation. Gravity connection remains open.
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V
v12.41
RestrictedFrozen
00 Astra
Qubit moment-map closure: {C_A,C_B}=C_{−i[A,B]}, Δ_closure=0 on 121 relational transforms. Restricted. Not gravity.
Posted 10 Sep 2026 with GitHub packet UQCF_GEM_v12_41_PUBLIC_SIMULATION_COMPLETE. Chain: quantum relations → KKS form Ω_ρ → generators C_A → closed constraint algebra. Exact residual 0; broken generator law max 0.297. λ is an ordered sweep, not time. Gravity’s constraints not identified.
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validation week
29 Jan–13 Feb 2025 ICL / Bullet / ξ(r) on-ramp. Not claimed.
First-validation thread, ICL M_ICL(z)=0.12(1+z)^{-1.48}e^{-0.65z}, mass-scaling chart, Bullet 201.55 kpc four-cluster table, ξ(r) vs KiDS χ² 7.42 vs ΛCDM 11.85. 2025 voice. Challenge 15 is a later 2026 Bullet test.
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Villin HP35 R_t
Restricted
Applied
Controlled protein cases: identical visible conformation, different folding fates from hidden retained history.
14 Apr 2026. Grok: AUC G_t+R_t ≈ 0.9569 vs G_t alone; matched-state divergence ~49%. Author tagged it speculative. Restricted empirical, not a folding oracle.
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X
X science notebook
Method
Denser 2026 thread coverage of @aaronspradlin science posts, with a 2025 not-claimed shelf.
Spine field notes carry the argument — including replies that carry equations. The notebook carries WALLABY 12A–D, Challenge 13, A_G, focusing/MTP₂, Q_i, geometry-exhaust, today’s F-bound, and the 5 May overclaim marked corrected. It is not live ingest. Load-bearing @grok replies on science threads are now first-class and listed on the X notebook Grok-replies table.
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Δ
Δ_closure
RestrictedFrozen
00 Astra
Residual of the generator law. Exact branch 0; broken control max 0.297 on the posted seed.
Broken control replaces 2 C_z with 1.25 C_z + 0.15 C_x. Independent reconstruction in this compile matched the posted log.
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Ε
ε*
Not claimedFrozen
Historical / not claimed
2025 claimed irreversibility / learning-onset threshold ≈ 4.97×10⁻⁵. Not a 2026 supported constant.
October 2025 Origin Law freeze: ε* ≈ (k_B T / ħ) e^{−ΔS/k_B} / √N, operationally the first δ that jointly passes TRw ≥ 0.05, |ΔPE|_norm ≥ 0.04, p_emp < 0.01, prod_frac > 0.9. Swept through Phase-N kits (qubits, CMB/PTA, EEG, LLM grads, Brusselator, inflation, AdS/CFT, LQG, causal sets, neural filters, evolution). Every “PASS at 4.97e-5” is a 2025 notebook item unless a later packet promotes it. None has.
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Η
η_convert
Restricted
02 Pruning-order history
Convertibility of repair channels into usable recoverability reserve.
15 May 2026 V535 freeze: η_convert = (Σ w_i)/(Σ w_i/η_i) × exp[−C_repair_min], with a five-channel basis (conductance, lineage, topology redundancy, repair convertibility, defect containment). Operational/theorem-shaped. Uniqueness proof not complete. Not GR.
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Χ
χ (chi)
OpenFrozen
09 Package 17 / gravity
Mixing weight in the affine bridge Ψ = χ G_t + (1−χ) R_t.
Package 17’s job is to derive χ as a fixed point instead of leaving it phenomenological. Still open.
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Ω
Ω_ρ
RestrictedLiteratureFrozen
00 Astra
Kirillov–Kostant–Souriau form Ω_ρ(A,B)=−i Tr(ρ[A,B]). Not the conformal factor Ω.
The symplectic structure on the space of qubit densities in the v12.41 packet. Distinct from frozen Ω in g_eff = Ω² g0 (V505/V760 toys).