{"id":"f16020ba-6e00-4f80-aca7-245a6d485f72","arxiv_id":"2511.22464","paper_version":2,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":2,"one_line_summary":"Using a holographic rotating black hole, the quark-gluon plasma critical temperature decreases for a static observer but increases for a co-rotating observer, reconciling lattice and model results.","lead":"The paper proposes that contradictory results on how fast-spinning quark-gluon plasma changes its phase-transition temperature are not a physics conflict: they come from observers using different frames. A static observer sees the critical temperature drop with rotation, while an observer spinning with the plasma sees it rise, matching lattice simulations.","discovery_kind":"unification","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The central reconciliation depends on the unproven identification of the lattice T_c with the Tolman-shifted local temperature; if lattice T_c is β^{-1} in the rotating frame, Eq. (34) is not the correct comparison and the disagreement is not resolved.","rationale":"Good faith reading: the holographic HP computation is a legitimate parameter-free derivation, and the algebra from Eq. (27) through Eq. (34) is consistent. The novelty is the observer-frame interpretation, and the conclusion would follow if the lattice T_c really is a co-rotating local temperature. I checked the logic of Eq. (33): the boundary metric after ψ→ψ+Ωt has g_tt=-1/γ^2, so the Tolman factor γ is correct for a pointlike observer on the S^3. The problem is exclusively in the bridge to lattice QCD. The paper asserts rather than demonstrates that the lattice's quoted T_c is the Tolman-shifted local temperature. In standard lattice formulations of rotation, the temperature parameter is the inverse period of the Euclidean time in the rotating frame; this is β^{-1}, not a radius-dependent local temperature. If that is what Refs. [16,17] report, applying γ in Eq. (33) is not justified and the comparison should be with Eq. (30), which reproduces the 'holographic/effective' decreasing behavior. The permanence of this concern is testable from the lattice definitions and raw data. A secondary but reinforcing weakness is the S^3-to-flat limit: Eq. (20) yields a boosted brane, so the rotation effects are not recovered in the local flat limit; the final remarks' appeal to local flatness/stereographic projection is heuristic. The B2 coefficient comparison (0.17 vs 0.5-1.3) is only order-of-magnitude and cannot distinguish. Therefore the reader's CONDITIONAL verdict is appropriate; my analysis does not alter it.","tokens_in":8955,"tokens_out":10496,"duration_ms":101229,"concrete_test":"Re-analyze the data in Refs. [16,17]: determine whether the reported T_c(Ω) is defined as the inverse Euclidean period β^{-1} of the rotating frame or as the local temperature T_loc = β^{-1}/√(1-Ω^2r^2) at some lattice radius r. Concretely, recompute the Polyakov-loop transition point from the raw lattice data (or from the published definition) with both identifications and plot against Eqs. (30) and (34). If the lattice T_c is β^{-1}, the lattice points should be compared with Eq. (30), not Eq. (34), and the claimed agreement would be refuted. If it is a local temperature at a specific radius, verify that that radius corresponds to the boundary S^3 value used in γ.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The paper's central claim is that the decreasing T_c(Ω) of Eq. (30) (static observer) and the increasing T_loc^c(Ω) of Eq. (34) (co-rotating observer) are the same physics expressed in different frames, and that the lattice results of Refs. [16,17] correspond to the latter. The transformation in Eq. (33) is internally consistent: for a boundary observer following the horizon Killing vector K = ∂_t + Ω∂_ψ, the norm of K gives γ, so T_loc = γT. The load-bearing step is the sentence 'lattice calculations are performed in a reference frame co-rotating with the plasma [16,17]'. That may be true, but it is not sufficient. In a rotating-lattice simulation, the temperature appearing in the Euclidean path integral is the inverse period β^{-1} in the rotating coordinate system. This β^{-1} is the thermodynamic (global) temperature, not the redshifted local temperature at a nonzero radius. The Tolman-Ehrenfest factor should be applied to the local temperature of a pointlike thermometer, not automatically to the T_c quoted by the lattice unless that T_c is defined through such a local measurement. If the lattice T_c is β^{-1}, then the correct holographic comparison is Eq. (30), which decreases, and the contradiction remains unresolved. The manuscript nowhere derives the relevant lattice observable (e.g., Polyakov loop as a function of transverse coordinate) from which one could see whether β^{-1} or T_loc is being quoted. A secondary issue is the compact S^3 boundary: the flat-space limit in Eq. (20) gives a boosted black brane, not a rotating plasma, so the extension of the single factor γ to a flat QGP is also heuristic.","agreement_with_reader":"agree"},"referee_report":{"model":"deepseek-v4-flash","summary":"The manuscript proposes an observer-frame resolution to the conflicting literature on the rotation dependence of the confinement/deconfinement critical temperature. It computes the Hawking-Page transition in a five-dimensional equal-angular-momentum Myers-Perry-AdS black hole. In a static boundary frame the critical temperature decreases with angular velocity, Eq. (30); applying the Tolman-Ehrenfest factor to a co-rotating boundary observer gives Eq. (34), an increasing local critical temperature that the authors identify with the lattice QCD result. The paper concludes that the apparent contradiction is not physical but follows from different choices of observer, and that both observers see the same phase.","tokens_in":9344,"tokens_out":11473,"duration_ms":110696,"significance":"The idea is elegant and, if correct, would provide a conceptual resolution of a genuine controversy. The free-energy calculation is transparent and internally consistent, and the small-velocity prediction B2=1/6 is a definite, parameter-free result not fitted to lattice data. However, the central claim hinges on two nontrivial identifications: that the lattice-reported T_c is the co-rotating local temperature of Eq. (33), and that a compact S^3 boundary calculation can be compared with flat-space lattice/plasma systems. These points require rigorous justification before the resolution can be accepted.","major_comments":[{"comment":"The load-bearing step is the sentence 'lattice calculations are performed in a reference frame co-rotating with the plasma [16,17]'. In a lattice simulation, the Euclidean path integral is defined with period β in the rotating coordinates, and the boundary temperature is normally extracted from the critical period β_c^{-1}. The Tolman-Ehrenfest factor in Eq. (33) applies to the reading of a pointlike local thermometer, not automatically to β^{-1}. If the lattice T_c is β^{-1} in the rotating frame, the correct holographic comparison is Eq. (30), which decreases, and the contradiction is not resolved. The authors should derive from the definitions in Refs. [16,17] which quantity is measured (e.g., show that the Polyakov loop is evaluated at a fixed co-rotating radius and that its critical coupling determines T_loc rather than β^{-1}).","section":"§4, around Eqs. (32)-(34)"},{"comment":"The flat-space limit of the MP-AdS solution given in Eq. (20) is a boosted black brane, in which non-inertial effects are washed out; the paper therefore deliberately retains the compact S^3 boundary. But lattice rotating gluodynamics is formulated on a flat (toroidal) geometry. The assertion that the S^3 results extend to the flat case by a 'small angle' or 'stereographic projection' is not demonstrated. The critical radius r_c+ and the free-energy difference are global quantities on S^3, and the dimensionless combination ΩL/2 enters through the sphere radius L. Without a concrete prescription mapping a finite flat rotating system to the compact boundary, the quantitative comparison with lattice values (B2=1/6 vs 0.5-1.3) is not well grounded.","section":"Eq. (20) and Final remarks"}],"minor_comments":[{"comment":"The coefficient B2=1/6 differs from the quoted lattice values by a factor of 3-8. The statement that the result is 'in the same order' when Dirichlet boundary conditions are imposed is optimistic; a brief discussion of whether this is a qualitative or quantitative match would help.","section":"Eq. (35)"},{"comment":"The sentence 'It is the temperature that is not the same, but rather related by (33)' is correct but could be sharpened: for a given plasma at fixed (β,Ω), both observers agree on the phase, but they assign different temperature values to the transition point. A few clarifying words would prevent a misreading.","section":"Final remarks"},{"comment":"The metric is written in a compact form that may confuse readers unfamiliar with the equal-angular-momentum MP-AdS coordinates. Since the horizon is determined by the null condition for the Killing vector rather than by g_tt=0, a short explanation of the coordinate choice would improve readability.","section":"Eq. (1)"}],"recommendation":"major_revision","confidential_remarks":"The manuscript is a well-written letter with a clear, interesting proposal. The algebraic core is sound, but the lattice-frame identification is the central gap: without a derivation showing that the lattice T_c corresponds to the Tolman-shifted local temperature, the proposed reconciliation is not established. I recommend major revision rather than rejection because the issue is addressable in principle: the authors can either derive the relevant lattice observable or substantially weaken the claim to a model-dependent suggestion. The authors should also be pressed on the S^3-to-flat extrapolation, since the flat limit of their own solution removes the inertial effects."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"You should know: this paper proposes that the apparent contradiction in the rotating QGP literature—lattice sees T_c increasing with rotation, holography/effective models see it decreasing—is just an observer effect. The Hawking-Page computation for the equal-angular-momentum Myers-Perry-AdS black hole is internally consistent, and the formulas (27)–(34) are correct. For a static observer T_c decreases; after applying the Tolman-Ehrenfest factor to a co-rotating observer, it increases and matches the lattice trend. No parameter is fitted. That is the good part.\n\nThe bad part is the mapping to lattice QCD. The paper says simply that lattice calculations are performed in a frame co-rotating with the plasma, so the temperature they quote is the local temperature T_loc = γT. But in a rotating lattice simulation the temperature in the Euclidean path integral is the inverse period β^{-1} in the rotating coordinate system. That β^{-1} is a global thermodynamic temperature, not a local thermometer reading. If the lattice T_c is actually β^{-1}, then the right holographic comparison is Eq. (30), which decreases, and the claimed reconciliation collapses. The paper never derives the relevant lattice observable (e.g., the Polyakov loop profile) to show which temperature is being reported. This is not a minor caveat; it is the load-bearing step.\n\nA second soft spot: the boundary is S^3, so the Lorentz factor γ is constant because the radius is fixed. In flat space a rotating plasma has v = Ωr and the Tolman factor is position-dependent. The paper's flat-space extension is heuristic, and the S^3-to-plane limit that does work gives a boosted black brane, not a rotating plasma. The authors acknowledge this, but it means the quantitative prediction B_2 = 1/6 sits uncomfortably against the lattice values 0.5–1.3. They call it qualitative agreement; that is fair, but it limits how seriously one can take the specific curve.\n\nOn the other hand, the algebra is transparent, the authors are honest about the compact boundary, and the central idea—observer frames rather than physics—is worth taking seriously. The paper deserves refereeing, not a desk reject. But it needs major revision: the authors must show, from the lattice definitions, whether T_c is β^{-1} or the local temperature. If they cannot, the claim should be softened. I would bring it to a reading group, and I would cite it as the observer-frame proposal with that caveat explicitly flagged.","headline":"The observer-frame reconciliation is a genuinely new idea and the HP calculation is clean, but the paper's load-bearing claim that lattice T_c is the Tolman-shifted local temperature is asserted, not demonstrated.","tokens_in":9862,"tokens_out":3746,"would_cite":true,"duration_ms":37683,"reading_group":"yes","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":["12.38.Mh","11.25.Tq"],"model":"deepseek-v4-flash","headline":"The paper claims that the apparent disagreement between lattice QCD and holographic models over how rotation shifts the quark-gluon plasma's confinement temperature is an observer artifact, and both curves describe the same phase.","keywords":["quark-gluon plasma","confinement/deconfinement","rotation","holography","Myers-Perry black hole","Hawking-Page transition","Tolman-Ehrenfest law","lattice QCD"],"falsifier":"Compute the rotating-lattice Polyakov-loop transition temperature and extract the transition point from the susceptibility peak; if the peak location tracks the global inverse period β^{-1} rather than the Tolman-shifted γ/β, the observer-frame identification fails. Alternatively, a precise lattice determination of the coefficient B2 in T_c/T_c(0) = 1 + B2 v^2 from a co-rotating frame would settle the quantitative match: the paper predicts B2 = 1/6 under Dirichlet boundary conditions.","tokens_in":8831,"feed_emoji":"🌀","tokens_out":6236,"duration_ms":46941,"temperature":0.7,"pith_summary":"The paper claims to dissolve a long-standing contradiction in heavy-ion physics: lattice QCD finds that rotating a quark-gluon plasma raises its confinement/deconfinement temperature, while holographic and other effective models find it is lowered. Both answers, the paper argues, are correct—for different observers. A static observer measures the inverse black-hole period, which falls with angular velocity; a co-rotating observer measures the Tolman-shifted local temperature, which rises and matches the lattice trend. The two curves are related by the plasma's Lorentz factor, and the phase of the system is the same for both observers. If this is right, earlier 'disagreements' need to be reinterpreted as different thermometer choices rather than conflicting predictions.","feed_headline":"Rotating quark-gluon plasma: shift is in the observer","feed_subtitle":"The same plasma can look cooled to one observer and heated to another—both curves describe the same transition.","key_machinery":"The central object is the equal-angular-momentum Myers-Perry black hole—a spinning, asymptotically anti-de Sitter solution of Einstein's equations with two equal rotation parameters—whose Hawking-Page transition against thermal AdS supplies the holographic description of confinement/deconfinement. The argument rides on two identities: the static-frame critical temperature (Eq. 30) and the Tolman-Ehrenfest temperature shift T_loc = γT (Eq. 33), which converts the static-frame curve into the co-rotating one (Eq. 34). The black hole's horizon angular velocity, evaluated at the critical horizon radius, supplies the rotation variable Ω that enters the Lorentz factor γ.","core_discovery":"The central discovery, stated on the paper's own terms, is a unification: the two families of results are not competing predictions but two readings of a single curve. Using an equal-angular-momentum Myers-Perry black hole and the Hawking-Page transition, the authors derive a static-frame critical temperature T_c(Ω)/T_c(0) = 2/(3γ) + 1/3, which decreases with Ω. Applying the Tolman-Ehrenfest law T_loc = γT to the co-rotating boundary metric turns it into T_loc^c(Ω)/T_c(0) = (2+γ)/3, which increases with Ω; for small surface velocity this gives coefficient B2 = 1/6, of the same order as lattice computations with Dirichlet boundary conditions. The same rotating plasma therefore crosses its tra","pith_inferences":["A testable extension: repeat the lattice Polyakov-loop measurement in both a static and a rotating frame and locate the transition in each; the paper predicts that the transition point tracks the Tolman-shifted local temperature γ/β, not the bare inverse period β^{-1}.","The same observer-frame mechanism could apply to other rotating observables—chiral transition, shear viscosity, or spin polarization—where static-frame and co-rotating calculations currently appear to disagree.","Because the holographic boundary is a three-sphere, the extension to the near-planar QGP of heavy-ion collisions assumes a local flat-space limit; at large angular velocities that limit may break, which is an implicit caveat to the quantitative reach of the result."],"forward_implications":["If the paper is right, the lattice and holographic curves are simultaneously correct; a single plasma can be reported as cooling or heating under rotation depending on the observer's frame.","The angular velocity at which the plasma actually changes phase is observer-independent, so two experiments in different frames should agree on whether the system is confined or deconfined.","Any future comparison between a rotating-plasma calculation and lattice data must specify which temperature is being quoted; mixing a static-frame number with a co-rotating one is the apparent contradiction the paper resolves.","The small-velocity coefficient T_c/T_c(0) ≈ 1 + v^2/6 provides a quantitative target that lattice simulations can verify or falsify directly."],"fun_headline_variants":["Rotating QGP: observer decides if it cools or heats","Same rotating plasma, two critical temperatures—observer's choice","Observer's frame decides QGP transition temperature","Rotating plasma: two observers, two transition temperatures"],"cache_read_input_tokens":2304,"weakest_assumption_plain":"The resolution hinges on the claim that lattice QCD's transition temperature is quoted by a co-rotating observer and is the Tolman-shifted local temperature; the paper states this identification but does not derive it from the lattice definitions of the Polyakov loop or the Euclidean-time period.","fun_headline_variants_meta":{"raw":{"variants":["Rotating QGP: observer decides if it cools or heats","Same rotating plasma, two critical temperatures—observer's choice","Observer's frame decides QGP transition temperature","Rotating plasma: two observers, two transition temperatures"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000644,"raw_usage":{"total_tokens":2787,"prompt_tokens":720,"completion_tokens":2067,"prompt_tokens_details":{"cached_tokens":256},"prompt_cache_hit_tokens":256,"prompt_cache_miss_tokens":464,"completion_tokens_details":{"reasoning_tokens":2003}},"tokens_in":464,"tokens_out":2067,"duration_ms":13395,"temperature":1.0,"reasoning_tokens":2003,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-03T19:47:19.028897+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Compute the rotating-lattice Polyakov-loop transition temperature and extract the transition point from the susceptibility peak; if the peak location tracks the global inverse period β^{-1} rather than the Tolman-shifted γ/β, the observer-frame identification fails. Alternatively, a precise lattice determination of the coefficient B2 in T_c/T_c(0) = 1 + B2 v^2 from a co-rotating frame would settle the quantitative match: the paper predicts B2 = 1/6 under Dirichlet boundary conditions.","supporting_citations":[],"review_version":1}