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2026 W-state holonomy, the F-bound family, the v9.167 lab, v12.41 moment-map closure, and the GitHub-only v13 QRSL/HCPR/QMAR campaign. 2025 Hofstadter, Rydberg, Berry, Phase-N qubit kits, and the ε* verifier stay a reading list — not claimed.

00 Astra · Open · Restricted · 2026-09-12 · compiled 2026-10-10 · 6 min read · 6 claims · 9 X sources

Original on X · Package: uqcf_w_holonomy_replication · JSON · Cite

quantum · W-state · Hofstadter · Rydberg · F-bound · qubit

On this page

Causal stack

  1. 00 Astra / global consistency
  2. 01 Genesis Pin
  3. 02 Retained pruning-order history
  4. 03 Admissible slice
  5. 04 L1 (closed)
  6. 05 L2 (closed)
  7. 06 L3 hyperedge memory T_H + D_L3
  8. 07 L4 H₄ rank lift
  9. 08 Discrete atlas / scalar accessibility
  10. 09 GEM-bridge / gravity

Quantum work in this corpus lives on six articles unless you know to look. The holonomy article holds the 2026 pair-marginal BKM loop. The Astra article holds the F-bound / t* / d(t) / g_★ / D_N family. The quantum compatibility lab holds the 6 Sep v9.167–v9.171 matched four-weight calculation (315 vs 311) — Restricted, not the v9.156 slope. v12.41 holds the 10 Sep qubit moment-map closure — Restricted, not gravity. The live campaign board holds GitHub-only v13 QRSL / HCPR / QMAR — Restricted, not gravity. Origin Law / Phase-N holds the 2025 Hofstadter / Rydberg / Berry / ε* week as a not-claimed reading list. This page is the map so a qubit, Hofstadter, or Rydberg query does not dump you on cosmology.

Two years, two postures

2026 is a narrowing: finite quantum-information results with named harnesses, gravity left open. 2025 is a maximal program: Hofstadter butterflies, Dataverse quenches, and Phase-N qubit kits that hunt one ε* across every substrate. This atlas does not promote the 2025 toys. Kits stay on X. Grain equations only.

2026 spine — finite quantum information

On 2 Aug 2026 a generalized three-qubit W state was shown to generate a canonical pair-derived BKM polar loop. Pure states with abc ≠ 0 occupy a lossless reflection spectrum {−1, +1, +1}. The result is reported to survive random amplitudes, phases, local unitaries, source-basis changes, and qubit permutations. White-noise independence was later withdrawn: mixed-state population depends on sign(q_ij(ε)). Explicitly not spacetime, gauge fields, or gravity. Replication lives on GitHub.

Supported

Finite quantum-information result: every pure generalized W state with abc ≠ 0 has lossless pair-marginal BKM reflection spectrum {−1, +1, +1}. Not a theorem about spacetime or gravity.

Source on X

Geometry may already be encoded in quantum correlation. Pair marginals canonically generate an O(3) response holonomy. Pure three-qubit states occupy the det H = −1 sector; mixed states access both signs. The parity cannot change without an edge losing rank.

@aaronspradlin, 2 Aug 2026

F-bound / Astra family → the Astra article. Finite consistency identities in a controlled model. Gravity open. Equations stay there so this page does not become a fourth gravity page.

The 6 Sep 20:05 UTC lab is a different family. v9.167–v9.171 matched four-weight arrangements on three five-level systems share pair spectra and the entire compatibility-distance curve, yet optimal global-completion families have exact real affine nullities 315 vs 311. A collective measurement inside arrangement A reads 0.480269472 vs 0.465533202 while pair traces agree to 4e-18. Calculated states. Restricted finite calc. Not the v9.156 d(t) slope. Gravity not established.

10 Sep 2026 shipped a still different object: a public 121-step qubit simulation of a closed constraint algebra that does not start from spacetime. Exact residual 0; broken generator law 0.297. Restricted. Gravity’s constraints not identified. Full packet on the v12.41 article — do not blend 11 source settings (v9.190) with 121 sweep steps (v12.41).

Restricted

v12.41 qubit KKS identity {C_A,C_B}=C_{−i[A,B]} closes with Δ_closure = 0 on 121 relational transforms. Finite su(2). Not ADM, not Einstein, not physical time.

Source on X

Restricted

v9.167–v9.171 matched four-weight lab: same pair curve, global completions 315 vs 311. Collective Born probabilities differ by the global trace distance. Finite certified calculation. Not a laboratory observation, not v9.156, not a gravity law.

Source on X

Open

Does global quantum provenance canonically generate a shared source generator Q_i? In-thread review: not from admissibility + BKM reciprocity alone. Gravity not claimed.

Source on X

2025 March — Hofstadter, Rydberg, Berry

13–14 Mar 2025 is the quantum-stability on-ramp later restated in the October Hofstadter / Ani week. Posted as first-principles Harper spectra, coherence overlays, and a Semeghini Dataverse quench. 2025 maximal voice. Not a 2026 qubit result. Python kits stay on X.

The 256-qubit Hofstadter chart (13 Mar) posts Harper’s equation as the 2025 quantum-computing story, with a golden-ratio marker at α = 0.618 and D_f = 2.7387. A same-day overlay quoted Google / IBM / IonQ coherence lifetimes 80 / 100 / 120 µs. A companion Berry-curvature heatmap overlaid published dots. None of that is a topological-insulator measurement or a hardware result.

The next day, a Harvard Dataverse quench (Semeghini 2021, doi:10.7910/DVN/BDCTRX) was quoted as τ_coherence = 85.0063 µs (φ-tuned from a ~52.63 µs T₂ fit), S_eff = 23.0243 k_B (loop-scaled at D_f = 2.5), and F(k) ≈ 0.00578. Chart + Python. 2025 quantum-stability voice. Not a 2026 qubit result.

Not claimed

March 2025 Hofstadter Harper spectra, Ion-Q coherence overlays, Berry heatmaps, and the Semeghini Dataverse quench are archived so the quantum-stability week is readable. They are not 2026 supported qubit, QSL, or topological-insulator results.

Source on X

2025 October — Phase-N qubit kits and the ε* verifier

The 13–14 Oct 2025 week opens with an Ani video: Hofstadter’s butterfly as the same fractal breathing as a UQCF-GEM inflation lattice (D_f = 2.7387, φ = 0.618, coherence ≈ 1.0 at 120 µs). A four-line hofstadter_phi kernel followed. That on-ramp hangs the Phase-N kits. The full Phase-N map — EEG, PTA/CMB, Brusselator, inflation, AdS/CFT, LQG, causal sets, neural filters, evolution, Ω-Lock — lives on Origin Law. This table is the qubit subset. Kits stay on X. Not pasted.

Confirmed: Hofstadter’s butterfly pattern isn’t a coincidence — it’s the same fractal breathing seen in UQCF-GEM’s inflation lattice.

@aaronspradlin, 13 Oct 2025

Kit Posted as Status URL
Phase 5.1 2-qubit Hofstadter-driven echo; α-breathing 0.03475→0.175; 16 Hz; τ=120 µs 1977754393622835257
Phase 5.3 Ablation controls on the 2-qubit echo (no-flux / scramble / no-memory) 1977764463991505360
Phase 5.5 / 5.6 4-qubit Hofstadter lattice + XY4 dynamical decoupling 1977766113707753935
ε* verifier Single-qubit toy: hunt ε̂ where dS/dt → 0; PASS in 4.9–5.0×10⁻⁵ ±10% 1978170079826366957
QuTiP appendix Optional Lindblad dephasing block for the same verifier 1978170306675220583

Qubit-subset map, not a paste of the Python. Grok-in-the-loop PASS on emulated traces is the 2025 voice. It is not independent replication and not a 2026 qubit result.

The ε* verifier is a single-qubit dephasing toy. Off-diagonal coherence carries a tiny drive-asymmetry ε sin(ω t); von Neumann entropy S is read from Bloch magnitude r = 2|ρ₀₁|; a zero-drive baseline is subtracted; the smallest ε whose baseline-subtracted slope touches zero is the claimed onset. PASS window: 4.9×10⁻⁵ ≤ ε̂ ≤ 5.0×10⁻⁵ ±10%. A cosmology cross-check on the same post writes Ṡ_min = ε* H₀ ≈ 1.08×10⁻²² s⁻¹. That H₀ sentence is the 2025 verifier language, not a 2026 Hubble-tension resolution.

Not claimed

Phase-N qubit Hofstadter kits (5.1–5.6) and the ε* single-qubit verifier are archived so the October week is readable. Kits stay on X. They are not 2026 supported qubit, hardware, or irreversibility-threshold results.

Source on X

Berry, Bell, measurement — still not claimed

Late on 14 Oct 2025 a reply to @HanaTensor’s “Spin from Geometry” asked whether ε* traces the same internal curvature as a 0-Sphere Berry cycle, and challenged Grok to add a Berry-phase term and sweep ε. On 26 Mar 2026 that sweep was restated as a two-level P_stay curve around 4.97×10⁻⁵, citing Hanamura. A geometric holonomy demo in a driven two-level system is not a derivation of spin, time’s arrow, or gravity.

June 2025 Bell replies treat locality as fractal coherence, with hidden variables “hidden in geometry.” Not a Bell-test result. A 21 Jun 2026 5-node Kirchhoff+Ohm lab is offered as a structural resemblance to the quantum measurement problem — picking one flow takes a measurement — not as a claim that the lab is quantum mechanics.

Why 2026 did not promote the 2025 toys

X sources

Original posts this article was compiled from. The notebook copy is editorial; the status URL is the source.

Previous Open science methodNext Dorau–Much projection path

Causal stack

  1. 00 Astra / global consistency
  2. 01 Genesis Pin
  3. 02 Retained pruning-order history
  4. 03 Admissible slice
  5. 04 L1 (closed)
  6. 05 L2 (closed)
  7. 06 L3 hyperedge memory T_H + D_L3
  8. 07 L4 H₄ rank lift
  9. 08 Discrete atlas / scalar accessibility
  10. 09 GEM-bridge / gravity

On this page

X sources

Related articles

GitHub packages

Field notes