Iteration 6 — de Sitter and closed-universe quantum gravity: the 2023–2026 literature delta

Status: Research-sweep note (iteration 6, track R1-dS-closed-universe). External-literature delta relative to the saturated iteration-5 baseline; no verdict change — the standing ../CONCLUSION.md verdict and both hedges survive, with one hedge (OP-48c horn C) reinforced from an independent direction and one hypothesis (HYP-dS-CARDINALITY-R1) extended to two new routes. Last updated: 2026-06-10 Iteration: 6

All citations below were verified against live arXiv abstract pages (or arXiv listing + journal records) this session; per-paper claims are tagged ESTABLISHED as statements of what the paper claims/proves, with proof-vs-claim distinguished inline. Epistemic markers per ../EPISTEMICS.md.

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Scope

What exists in the 2023–2026 dS-holography and closed-universe literature that the wiki has not incorporated, and does any of it bear on OP-41, OP-42, OP-49, the dS no-gos' scope, or HYP-dS-CARDINALITY-R1? Already covered and excluded from the delta: CLPW (arXiv:2206.10780), KLS, Chen–Xu (arXiv:2511.00622), the dS/CFT pseudo-entropy first law (arXiv:2511.07915), Narovlansky–Verlinde (arXiv:2310.16994), Rahman–Susskind (arXiv:2312.04097, 2401.08555), $T\bar T+\Lambda_2$ (GST), Susskind's stretched horizon (arXiv:2109.14104), Jacobson (arXiv:1505.04753), FGHMVR (arXiv:1312.7856).

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1. The closed-universe Hilbert-space debate (2024–2026) — the headline delta

1.1 The one-dimensionality claims

Proven, in 2D models ESTABLISHED: in JT gravity coupled to matter and in a topological toy model, perturbatively distinct closed-universe states $|\Psi_i\rangle$ develop nonperturbative inner products from spacetime wormholes; the Gram matrix $M_{ij}=\langle\Psi_i|\Psi_j\rangle$, computed by cylinder/wormhole amplitudes, degenerates to rank 1: there is a unique closed-universe state per theory, despite rich semiclassical physics at the perturbative level (Usatyuk–Wang–Zhao, arXiv:2402.00098, SciPost Phys. 17, 051 (2024)).

Claimed, in general INFERENCE in the literature / CONTESTED: quantum-extremal-surface and gravitational-path-integral arguments extend this to closed universes generally — the nonperturbative Hilbert space of a closed universe is one-dimensional (and real) per $\alpha$-sector (Harlow–Usatyuk–Zhao, arXiv:2501.02359, JHEP 02 (2026) 108; Nomura–Ugajin, arXiv:2505.20390). The lineage is McNamara–Vafa's swampland argument that the baby-universe Hilbert space is one-dimensional (arXiv:2004.06738) and Usatyuk–Wang–Zhao's 2D realization. Note the scope: global de Sitter has compact spatial slices — eternal dS is a closed universe — so this debate is exactly the no-external-observer regime the wiki's Program A/B merge analysis identified as the breaking point (../OPEN_PROBLEMS.md OP-48).

1.2 The observer rescue

Four mutually consistent rescues, all routing through an internal observer:

• Harlow–Usatyuk–Zhao ESTABLISHED as claim; argued, not a theorem: any observer with $S_{Ob}$ degrees of freedom is described by an effective quantum mechanics on a Hilbert space of dimension $\sim e^{S_{Ob}}$, with errors exponentially small in $S_{Ob}$ (arXiv:2501.02359).
• Nomura–Ugajin ESTABLISHED as claims: partial observability — tracing out degrees of freedom inaccessible to the observer suppresses the ensemble fluctuations of the topology sum and restores semiclassical predictability; extended (arXiv:2602.13387, Feb 2026) to the Hartle–Hawking state with conditioning on observational data, recovering classical probabilities and an effective arrow of time from a single state.
• Wei ESTABLISHED as claims: the problem of time and the one-dimensionality arise from two distinct nonperturbative effects — summing over metrics vs summing over topologies — and both are resolved by a Page–Wootters observer/timekeeper hierarchy (an observer is a subsystem whose specification yields a nontrivial Hilbert space; a timekeeper is an observer with a specified history) (arXiv:2506.21489).
• Harlow follow-up ESTABLISHED as claim: the third-quantized description can arise from a holographic theory with a one-dimensional Hilbert space without $\alpha$-parameters, via the observer decoherence rule; in landscapes with both AdS and dS minima, observers "almost surely" find themselves in dS (arXiv:2602.03835, Feb 2026).

1.3 The counter-camp

The premise itself is actively contested CONTESTED:

• Antonini–Rath–Sasieta–Swingle–Vilar López (arXiv:2507.10649): one-dimensionality is an external-access artifact — "the limitation of the external (CFT) Hilbert space to access the quantum information in the closed universe," analogous to an observer outside a perfectly isolated lab; effective field theory in the closed universe is recoverable from CFT data (final-state-projection reading). The baby universe is fine, and the CFT knows it.
• Hong Liu (arXiv:2509.14327): subregion-subalgebra duality plus an averaged large-$N$ dictionary; "for small but finite $G_N$ there should exist a semiclassical description of a macroscopic closed universe" — explicitly challenging the one-dimensionality conclusion.
• Engelhardt–Gesteau (arXiv:2504.14586): from a low-energy boundary operator, the actual CFT dual of the ambiguous Antonini–Rath state is the spacetime without a semiclassical baby universe — dissolving the puzzle in the opposite direction (no semiclassical baby universe in AdS/CFT at all).
• Higginbotham (arXiv:2512.17993, JHEP 03 (2026) 183): "observer complementarity" — an AdS bulk observer's SWAP test concludes there is no closed universe while the inside observer disagrees; holographic maps improve both descriptions, and the AdS observer cannot rule out a baby universe.

No theorem exists on either side. OPEN/CONTESTED

1.4 Bearing on OP-48 — the inference chain INFERENCE, medium-high

• P1 ESTABLISHED in 2D models; CONTESTED generally: nonperturbative topology sums collapse $\dim\mathcal H_{\rm closed}$ to 1 per $\alpha$-sector.
• P2 ESTABLISHED as claims: standard quantum mechanics is recovered only relative to an internal observer, with effective dimension $\sim e^{S_{Ob}}$ and errors $O(e^{-\#S_{Ob}})$.
• P3 [wiki, ESTABLISHED/INFERENCE]: OP-48(c) — on a single Type III₁ factor, "collar-free + state-independent" composition and "singles out QM" are mutually exclusive; QM-selection forces interposing an observer-anchored Type I factor, re-importing the collar/reference state (2026-06-08-iter5-op48c-collarfree-composition.md).
• C: two independent formalisms — algebraic/kinematic (Type III₁, no factorization) and path-integral/nonperturbative (topology sum, no Hilbert-space dimension) — converge on the same conditional structure: the fundamental no-observer description does not support QM's composition/probability structure; QM is recovered only by an observer-anchored factorization, and the observer-selecting move coincides with the geometry-importing move (worldline, clock energy bound, collar). This reinforces the wiki's finding that the A+B merge fails in the no-external-observer regime — as cross-framework convergence rather than a single-framework result. It does not harden OP-48c horn (C) into a theorem: the path-integral premise (P1, general form) is contested, and on the ARSSV/Liu branch the global description is not actually trivial. Crucially, though, on every branch of the dispute the recovery of semiclassical physics routes through an observer- or algebra-anchored choice not contained in the global state — so the conditional structure is stable across the whole debate. INFERENCE

A further consistency check: De Vuyst–Eccles–Höhn–Kirklin prove PW=CLPW — the Page–Wootters formalism invoked by the closed-universe rescues is equivalent to the CLPW crossed-product description (arXiv:2405.00114, JHEP (2025) 146) ESTABLISHED as published. The closed-universe observer rescue and the CLPW observer are literally the same mechanism.

2. Observer/QRF-dependence of gravitational entropy

De Vuyst–Eccles–Höhn–Kirklin (arXiv:2405.00114) also show that with multiple possible observers, the density operators and entropies assigned to one subregion relative to distinct observers (= quantum reference frames) "can drastically differ" ESTABLISHED as published. INFERENCE This sharpens the iter-5 referee point on route (b) of 2026-06-08-iter5-surviving-dS-routes.md: not only is the Type II trace normalization a single observer-tied input — the entropy value itself is QRF-relative. This strengthens both the OP-44 framing (crossed product as observer-relational truncation) and HYP-dS-CARDINALITY-R1 (the area normalization is supplied per-observer, not derived). A follow-up, "Crossed products and quantum reference frames: on the observer-dependence of gravitational entropy" (arXiv:2412.15502), develops the dictionary unverified beyond title — abstract not fetched.

3. Maldacena's observer and the sphere partition function phase

The one-loop Euclidean dS sphere partition function — the standard object behind $\log Z \sim A/4G$ — carries a dimension-dependent phase $i^{D+2}$ obstructing its reading as a state count. Maldacena (arXiv:2412.14014): including an observer cancels this phase (mostly) for the quantity that should count states; an overall minus sign remains ESTABLISHED as the paper's claim. A 2026 follow-up (Ali, arXiv:2603.18068) argues an information-bearing clock is necessary but insufficient — only observers whose fluctuations couple to the negative conformal-factor modes resolve the phase ESTABLISHED as that paper's claim; its weight in the field is unclear.

INFERENCE Two bearings: (i) this is a third independent frontier — after the CLPW entropy algebra and the closed-universe Hilbert space — where $\Lambda>0$ physics becomes well-defined only once an observer is inserted by hand. Observer-centrality is now the organizing pattern of the 2024–2026 $\Lambda>0$ literature across entropy, state-counting, and Hilbert-space structure. (ii) For HYP-dS-CARDINALITY-R1: the observer fixes the phase of $Z_{S^D}$, not the coefficient — $A/4G$ still comes from the classical saddle action. η remains an input.

4. OP-42 status: the DSSYK camps' targets have diverged; the sub-threads are merging technically

• Narovlansky–Verlinde's dS₃ reading is published without retraction (JHEP 05 (2025) 032; arXiv:2310.16994). ESTABLISHED publication status
• The Susskind camp's current statement is Miyashita–Sekino–Susskind (arXiv:2506.18054, JHEP 11 (2025) 107): DSSYK at infinite temperature yields, in the semiclassical/infinite-radius limit where dS becomes locally flat and the static patch tends to Rindler space, a bulk that is a strongly coupled 't Hooft model — (1+1)d QCD with one quark flavor, mesons on a single Regge trajectory; equivalently an open-string theory. ESTABLISHED as published So the camps now disagree not merely on the entropy↔area factor (the $N$-divergent discrepancy of OP-42) but on what spacetime DSSYK∞ describes (dS₃ vs the flat-space limit). [INFERENCE: this divergence-of-targets lowers near-term odds of an agreed unitary dS dual.]
• Aguilar-Gutierrez (arXiv:2602.06113, Feb 2026): sequential $T^2(+\Lambda_1)$ deformations of DSSYK — the 1d analog of $T\bar T+\Lambda_2$ — concretely realize Susskind's cosmological stretched horizon, with the inter-algebra entanglement entropy taking RT (minimal codimension-two area) form in a triple-scaling limit. ESTABLISHED as the paper's claims The three sub-threads OP-42 tracks as distinct (DSSYK, $T\bar T+\Lambda_2$, stretched horizon) are merging technically while the physical interpretation stays contested.

None of this produces a dS first law, an RT prescription with positive real entropy for dS proper, or an η output. OP-42 remains CONTESTED; update its entry with the two items above.

5. Cauchy-slice holography reaches de Sitter (post-2025-11)

Araujo-Regado–Thavanesan–Wall, "Holographic Cosmology at Finite Time" (arXiv:2511.04511, Nov 6 2025; JHEP 04 (2026) 121), building on Cauchy-slice holography in AdS (Araujo-Regado–Khan–Wall, arXiv:2204.00591, JHEP 03 (2023) 026): a $T^2$ deformation of a bottom-up dS/CFT model yields a holographic theory on flat Cauchy slices of dS, with time as an emergent dimension associated with RG flow and dS/CFT as an IR (not UV) fixed point; deformed-theory scalar and graviton two-point functions match independently computed finite-time wavefunction coefficients; holographic counterterms are purely imaginary. [ESTABLISHED as the paper's claims; scope = correlators/wavefunction coefficients — no Einstein-equation derivation, no entropy result]

INFERENCE (i) OP-46 grading: ENCODES. The $T^2$ deformation is engineered precisely so the deformed partition function satisfies the Wheeler–DeWitt/Hamiltonian constraint — the bulk gravitational dynamics (including $G$) are input to define the flow. Emergent time-as-RG here is a reorganization of the WDW equation, not generation of Lorentzian structure from non-symmetric data; the §8 reopening condition of ../CONCLUSION.md is not met. (ii) OP-49 corroboration: the purely-imaginary counterterm structure independently corroborates the iter-5 sharpened expectation that dS-intrinsic holographic data carries irreducible imaginary/complex structure that cannot be nulled without deforming back toward AdS-type unitarity.

6. Holography of information at $\Lambda>0$ — real, radical, perturbatively contested

Chakraborty–Chakravarty–Godet–Paul–Raju (arXiv:2303.16316, JHEP 12 (2023) 120): with a gauge-fixed (Faddeev–Popov) norm on Wheeler–DeWitt states in asymptotically-dS spacetime, cosmological correlators in an arbitrarily small region suffice to completely specify the state — maximal delocalization of information at $\Lambda>0$. ESTABLISHED as the paper's claim

Counter-line: state-dressed operators (Bahiru–Belin–Papadodimas–Sárosi–Vardian, arXiv:2209.06845) construct approximately-local bulk observables commuting to all orders in $1/N$ with boundary charges — information can be localized relative to state-dressing, weakening the perturbative force of the principle ESTABLISHED as published; Geng–Jafferis–Shrivastava–Tata (arXiv:2512.18912, Dec 2025) exhibit a one-parameter family interpolating between regimes where perturbative holography-of-information works and where it fails, concluding "holography cannot be proven at the perturbative level in Newton's constant via the non-localizability of information" ESTABLISHED as the paper's claim. Status: CONTESTED.

INFERENCE Bearings: (a) the principle is kinematic (state specification) and is derived from the gravitational constraints/Gauss law — the metric theory is input, so it ENCODES; it is not, and cannot become, the hypothetical no-symmetry OP-46 readout. (b) It supplies no η and no equation of motion: OP-41 and HYP-dS-CARDINALITY-R1 untouched. (c) Structurally, holography-of-information and the closed-universe one-dimensionality are two faces of one constraint phenomenon — constraints make global data redundant; the compact-slice (dS/closed) case is the extreme limit where the redundancy swallows the whole Hilbert space. This links §1 and §6 as a single "constraints vs locality" axis along which the 2023–2026 literature has reorganized.

7. New dS entropy results and HYP-dS-CARDINALITY-R1

• Zigdon, "de Sitter in String Theory vs. Gibbons & Hawking" (arXiv:2604.25918, Apr 2026): assuming the QG partition function's logarithm contains nonzero $\propto 1/G_N$ terms, perturbative string theory yields no dS×compact solutions at any order in $\alpha'$ and $g_s$, because the tree-level action vanishes for closed Euclidean target-space solutions — in direct tension with $\log Z_{S^D}\sim A/4G_N$. ESTABLISHED as the paper's claim INFERENCE A microscopic-side instance of the cardinality diagnostic: the candidate UV-complete framework fails to produce the $1/G_N$ saddle the η-count requires. η is not output there either — possibly nothing is ("cardinality from above").
• J. Zhao (arXiv:2503.16138, Eur. Phys. J. C 85, 750 (2025)): the Hollands–Wald–Zhang dynamical black-hole entropy lifted to dynamical dS cosmological event horizons, generalizing the Gibbons–Hawking first law to non-stationary eras plus a physical-process first law between arbitrary cross-sections. ESTABLISHED that the construction exists INFERENCE The coefficient is supplied by the Wald-type Noether-charge formalism (η input), as in every other route — not verified line-by-line; flagged for the referee.
• Confirmation: arXiv:2511.00622 verified as Bin Chen & Jie Xu, "An algebra for covariant observers in de Sitter space" (v2 Feb 2026): a quantum reference frame $L^2(SO(1,d))$ of superposed geodesics and an averaged modular crossed product over static patches, giving a Type II algebra with explicit trace — matching the wiki's OP-41 characterization (entropy structure, no $\delta G_{\mu\nu}$). The wiki's attribution is correct.

Net for HYP-dS-CARDINALITY-R1 INFERENCE, high: reinforced and extended. In the newly surveyed routes the area-entropy coefficient is again an input (HWZ-dS; Maldacena's observer fixes phase not coefficient; QRF entropies are observer-normalized) or absent altogether (string tree level). No route makes η an output.

8. What does NOT change

• No surveyed construction outputs Lorentzian causal/metric structure from non-symmetric data installing no symmetry/η/foliation/twist — the ../CONCLUSION.md §8 reopening condition is not met. INFERENCE, high
• No dS entanglement first law in the strict FGHMVR sense appeared post-2025-11; the pseudo-entropy route (OP-49) acquired corroboration of its imaginarity obstruction, not a resolution. ESTABLISHED absence within the surveyed corpus
• The closed-universe debate reinforces the OP-48 structure from an independent direction but, being itself CONTESTED, cannot discharge the horn-(C) hedge. The two CONCLUSION hedges stand. INFERENCE

Proposed registry items

1. OP-50 — The closed-universe Hilbert-space problem CONTESTED. Is $\dim\mathcal H_{\rm closed}=1$ per $\alpha$-sector a theorem of nonperturbative quantum gravity (topology sum; proven in 2D models, claimed generally) or an artifact of external/boundary description (ARSSV; Liu)? Either resolution routes recovery of QM through an observer/algebra-anchored factorization — decisive context for OP-48's no-external-observer regime. Watch: responses to Engelhardt–Gesteau; Liu's subregion-subalgebra program; Harlow's α-parameter line.
2. OP-42 update: add the camps' target-divergence (dS₃ vs flat-space/'t Hooft readings of DSSYK∞; arXiv:2506.18054) and the DSSYK↔$T^2(+\Lambda_1)$↔stretched-horizon bridge (arXiv:2602.06113). Keep CONTESTED.
3. OP-44 / HYP-dS-CARDINALITY-R1 annotation: PW=CLPW equivalence and drastic observer-dependence of entropy values (arXiv:2405.00114); two new η-as-input-or-absent instances (arXiv:2503.16138; arXiv:2604.25918).
4. OP-49 annotation: purely imaginary holographic counterterms in Cauchy-slice dS holography (arXiv:2511.04511) corroborate the expected ENCODES-only resolution direction.
5. OP-48 annotation: cross-framework convergence (algebraic + path-integral) on observer-conditional QM; explicitly NOT a discharge of horn (C).

Open subquestions

1. OPEN Can the Harlow–Usatyuk–Zhao $e^{S_{Ob}}$ effective Hilbert space be derived as the image of a collar-free conditional expectation, or does it require the same Type I interposition as OP-48(c)? (If the former, horn (C) weakens; if the latter, it hardens.)
2. OPEN Does the ARSSV final-state-projection reading, transplanted to dS (no external CFT), reduce to the pseudo-entropy structure of arXiv:2511.07915 — unifying OP-49 and OP-50?
3. OPEN Is there any formulation of holography of information that does not presuppose the gravitational constraints (i.e., that could in principle serve as a no-symmetry OP-46 readout)? Current formulations are constraint-derived; expectation: no.
4. OPEN Does the vanishing tree-level string action for closed Euclidean targets (arXiv:2604.25918) survive nonperturbative effects (e.g. branes/instantons), or does the $A/4G_N$ term reappear nonperturbatively — and if so, is η derived there for the first time?

See also

• ../CONCLUSION.md — standing verdict and reopening conditions
• ../OPEN_PROBLEMS.md — OP-41, OP-42, OP-44, OP-46, OP-48, OP-49
• ../HYPOTHESES.md — H2, H4; HYP-dS-CARDINALITY-R1
• ../FINDINGS.md · ../EXPERIMENT_WATCHLIST.md · ../BIBLIOGRAPHY.md
• 2026-06-08-iter5-surviving-dS-routes.md — the two failed dS routes this note extends
• 2026-06-08-iter5-op48c-collarfree-composition.md — the OP-48(c) no-go the closed-universe debate corroborates
• 2026-06-08-de-sitter-and-emergent-spacetime.md — the dS-holography baseline this note updates

References

All verified against live arXiv abstract pages or arXiv listings + journal records, 2026-06-10:

• M. Usatyuk, Z.-Y. Wang, Y. Zhao, Closed universes in two dimensional gravity, arXiv:2402.00098, SciPost Phys. 17, 051 (2024).
• J. McNamara, C. Vafa, Baby Universes, Holography, and the Swampland, arXiv:2004.06738.
• D. Harlow, M. Usatyuk, Y. Zhao, Quantum mechanics and observers for gravity in a closed universe, arXiv:2501.02359, JHEP 02 (2026) 108.
• Y. Nomura, T. Ugajin, Nonperturbative Quantum Gravity in a Closed Lorentzian Universe, arXiv:2505.20390.
• Y. Nomura, T. Ugajin, Physical Predictions in Closed Quantum Gravity, arXiv:2602.13387.
• Z. Wei, Observers and Timekeepers: From the Page-Wootters Mechanism to the Gravitational Path Integral, arXiv:2506.21489.
• D. Harlow, Observers, α-parameters, and the Hartle-Hawking state, arXiv:2602.03835.
• S. Antonini, P. Rath, M. Sasieta, B. Swingle, A. Vilar López, The Baby Universe is Fine and the CFT Knows It: On Holography for Closed Universes, arXiv:2507.10649.
• H. Liu, Towards a holographic description of closed universes, arXiv:2509.14327.
• N. Engelhardt, E. Gesteau, Further Evidence Against a Semiclassical Baby Universe in AdS/CFT, arXiv:2504.14586.
• K. Higginbotham, Helping observers in closed universes reach their full potential, arXiv:2512.17993, JHEP 03 (2026) 183.
• J. De Vuyst, S. Eccles, P. A. Höhn, J. Kirklin, Gravitational entropy is observer-dependent, arXiv:2405.00114, JHEP (2025) 146.
• J. Maldacena, Real observers solving imaginary problems, arXiv:2412.14014.
• A. F. Ali, When do real observers resolve de Sitter's imaginary problem?, arXiv:2603.18068.
• S. Miyashita, Y. Sekino, L. Susskind, DSSYK at Infinite Temperature: The Flat-Space Limit and the 't Hooft Model, arXiv:2506.18054, JHEP 11 (2025) 107.
• S. E. Aguilar-Gutierrez, Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography, arXiv:2602.06113.
• G. Araujo-Regado, A. Thavanesan, A. C. Wall, Holographic Cosmology at Finite Time, arXiv:2511.04511, JHEP 04 (2026) 121.
• G. Araujo-Regado, R. Khan, A. C. Wall, Cauchy Slice Holography: A New AdS/CFT Dictionary, arXiv:2204.00591, JHEP 03 (2023) 026.
• T. Chakraborty, J. Chakravarty, V. Godet, P. Paul, S. Raju, Holography of information in de Sitter space, arXiv:2303.16316, JHEP 12 (2023) 120.
• E. Bahiru, A. Belin, K. Papadodimas, G. Sárosi, N. Vardian, State-dressed local operators in the AdS/CFT correspondence, arXiv:2209.06845.
• H. Geng, D. Jafferis, P. Shrivastava, N. Tata, The Fate of Information Localizability and Holography in Quantum Gravity, arXiv:2512.18912.
• Y. Zigdon, de Sitter in String Theory vs. Gibbons & Hawking, arXiv:2604.25918.
• J. Zhao, The entropy of dynamical de Sitter horizons, arXiv:2503.16138, Eur. Phys. J. C 85, 750 (2025).
• B. Chen, J. Xu, An algebra for covariant observers in de Sitter space, arXiv:2511.00622.
• De Vuyst et al., Crossed products and quantum reference frames: on the observer-dependence of gravitational entropy, arXiv:2412.15502 — [unverified: title/ID sighted in search results only; abstract not fetched].

Binding note. Where a correction in the referee verdict below conflicts with the body above, the referee correction governs; the body is the pre-referee submission, retained for the audit trail per house convention.

Referee verdict

Track: R1-dS-closed-universe · Iteration 6 · adversarial pass per AGENTS.md §4. Citation audit: all 24 arXiv IDs fetched/resolved this session; every abstract supports the claim made of it. Systematic defect: six JHEP journal refs (2501.02359, 2512.17993, 2506.18054, 2310.16994, 2511.04511, 2303.16316) are Springer-sighting-only and absent from the arXiv pages — enter all six in BIBLIOGRAPHY.md as [unverified] pending DOI check (Higginbotham's page says only "Submitted to JHEP"). No finding engages a standard no-go adversely; none quietly contradicts a wiki closure; CONCLUSION §8 is not triggered.

R6-F1 (closed-universe debate is real and mapped) — keep, severity MINOR. All three citations real and accurate. Corrections: the rank-1 Gram-matrix mechanism is UWZ paper-body content (abstract verifies only "a unique closed universe state in each theory") — cite as their construction; HUZ journal ref [unverified]; scope the [ESTABLISHED] tag to the existence and content of the literature — the physical one-dimensionality claim enters only as [CONTESTED]. OP-50 approved; ID free.

R6-F2 (observer rescue ↔ OP-48(c)) — keep, severity MINOR. All five papers verified, including both 2602.* post-cutoff entries. Corrections: Harlow 2602.03835 argues (decoherence-rule path integral), does not show; and the convergence with OP-48(c) is a structural analogy, not a derivation in either direction — the algebraic result concerns composition on a III₁ factor, the path-integral result nonperturbative state-counting. With that wording, the annotation "reinforces but does not harden horn (C)" is endorsed.

R6-F3 (one-dimensionality contested, three counter-positions) — keep, severity MINOR. All four citations real and accurate; [CONTESTED] is exactly right. Correction (substantive): "OP-48's conditional structure is stable across the whole debate" overreaches on the Liu branch — subregion-subalgebra duality is explicitly observer-free, and Liu would deny that a subalgebra selection is the relevant kind of extra input (the same choice exists in ordinary AdS/CFT subregion duality without observer-conditional QM). Replace with: consistent with every branch, enforced by only some. Higginbotham JHEP ref [unverified].

R6-F4 (PW=CLPW; entropy observer-dependent) — keep, severity MINOR. 2405.00114 fully verified (PW=CLPW verbatim in abstract; JHEP ref on the arXiv page). Upgrade: 2412.15502, submitted as unverified-beyond-title, was fetched by this referee — authors (De Vuyst–Eccles–Höhn–Kirklin) and content confirmed; remove the hedge. Caveat for the OP-44 annotation: "literally the same mechanism" holds in the perturbative crossed-product regime where PW=CLPW is proven; identifying it with the nonperturbative closed-universe rescue (R6-F2) is [INFERENCE].

R6-F5 (Maldacena: observer cancels the dS phase) — keep, severity MINOR. 2412.14014 verified, matches precisely; the phase-not-coefficient reading (η stays input) is correct and is the finding's most valuable sentence. Correction: Ali 2603.18068 is real and matches the description, but is a peripheral single-author follow-up — cite at [SPECULATIVE] weight pending field uptake, not as a coequal follow-up.

R6-F6 (OP-42: camps' targets diverged; proposed bridge) — keep, severity MINOR. MSS 2506.18054 and Aguilar-Gutierrez 2602.06113 verified against abstracts; NV 2310.16994 re-fetched successfully. Corrections: both JHEP refs [unverified]; "(iii) technically bridging" → "proposing a technical bridge" (one paper, no camp endorsement); divergence-of-targets sentence enters OP-42 tagged [INFERENCE]. OP-42 stays [CONTESTED].

R6-F7 (Cauchy-slice holography reaches dS) — keep, severity MINOR. 2511.04511 verified in detail (RG-flow time, IR fixed point, imaginary counterterms, two-point matching all in abstract). The ENCODES verdict is correct and strengthened: the construction also installs a preferred flat-slice foliation by hand, so it fails the CONCLUSION §8 condition on two independent clauses (foliation; WDW/bulk action defining the flow). Correction: the OP-49 corroboration is analogical — imaginary counterterms (wavefunction coefficients) ≠ imaginary pseudo-entropy (density matrices); keep at [INFERENCE, medium] with that distinction stated. JHEP ref [unverified].

R6-F8 (holography of information at Λ>0) — keep, severity MINOR. 2303.16316 verified ("arbitrarily small region suffices" verbatim); Reeh–Schlieder checked explicitly — no conflict (constrained WDW states, not local-QFT cyclicity). Corrections: the counter-line (2209.06845; 2512.18912) is formulated in AdS/CFT — the dS claim's [CONTESTED] status is by extension of the perturbative argument, say so; point (d) ("two faces of the same constraint phenomenon") is a unification conjecture — retag [SPECULATIVE]. ENCODES verdict and the does-not-meet-§8 record endorsed. JHEP ref [unverified].

R6-F9 (new dS entropy results extend HYP-dS-CARDINALITY-R1) — keep, severity MINOR. All three verified; Zhao's abstract confirmed to make no coefficient-derivation claim (the finder's ESTABLISHED/INFERENCE split on exactly that point is accurate); Chen–Xu attribution confirmed. Corrections: carry Zigdon's conditionality inline (assumes a nonzero 1/G_N sphere-partition contribution; perturbative-string, silent on nonperturbative dS); soften "possibly nothing is"; tag the "cardinality-from-above" framing and the η-input reading of the HWZ lift [INFERENCE, medium].

Bottom line. Track verdict endorsed as corrected: nothing flips the standing CONCLUSION (PARTIAL / encodes-not-generates / not-yet-physics); the OP-46 residual hedge is not met (both new constructions ENCODE — one doubly); OP-48(c) horn (C) is reinforced by an independent route whose premise is itself [CONTESTED], hence not hardened; HYP-dS-CARDINALITY-R1 is reinforced and extended — η is input or absent on every newly surveyed route, never output. File OP-50 at [CONTESTED] with the R6-F3 corrected wording; log the six [unverified] journal refs and the 2412.15502 verification upgrade in CHANGELOG.md.