{"id":"4d64952a-9af8-4a01-a5a4-b70cd3b6b996","arxiv_id":"2507.08066","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":4.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":2,"one_line_summary":"A one-parameter family of flat-spacetime vacua, built from Minkowski plane waves with exponential weights, is shown to be a continuous-mode squeezed vacuum with tanh r(ν) = e^(−πν/κ), reducing to the Minkowski vacuum as κ→0.","lead":"This paper constructs a new one-parameter family of quantum field modes in flat spacetime, the κ-plane waves, whose vacuum states are continuous-mode squeezed states with a frequency-dependent squeezing parameter. The relevance is that it connects standard vacuum-structure ideas in relativistic quantum field theory with squeezed-state tools from quantum optics and continuous-variable quantum information.","discovery_kind":"extension","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The 'normalizable pure Gaussian state' claim fails Shale's criterion: the squeezing spectrum ∫sinh² r(ν)dν diverges, so |0κ⟩ is a non-Fock algebraic state, not a unitary-squeezed state in the Minkowski Fock space.","rationale":"The reader's report correctly verifies the Bogoliubov algebra and identifies that the exponential squeezing profile is fixed by the ansatz (2.10), not derived from first principles. I agree with that critique; Appendix B is explicit that e±πΛ/2κ were chosen to produce tanh r=e^{-πν/κ}. However, the more load-bearing problem is mathematical: the claimed state does not live in the Fock space built on |0M⟩. In eq. (5.13), |0κ⟩ is written as a unitary squeezing operator acting on the Minkowski vacuum. A real, diagonal Bogoliubov transformation with parameter r(ν) is implementable as a unitary on Fock space only if sinh r is Hilbert-Schmidt (Shale's theorem). Here sinh r(ν)=e^{-πν/κ}(1-e^{-2πν/κ})^{-1/2} ≈ √(κ/2π) ν^{-1/2}, so ∫ sinh² r(ν)dν diverges at ν=0. Thus the transformation is not unitarily implementable; the exponential in (5.9) is an algebraic, not Hilbert-space, object, and Zκ diverges in the continuum. This directly affects the central claim because the abstract and §5.3 announce a 'normalizable pure Gaussian state' and a continuous-mode squeezed vacuum of the Minkowski vacuum. The single-mode local condition (aν-e^{-πν/κ}a†ν)|0κ⟩=0 can still define an algebraic pure state on the Weyl algebra, but one that is disjoint from the Minkowski vacuum; it is not a photon-number-squeezed state within the Minkowski Hilbert space. This is analogous to the standard Minkowski–Rindler situation, except that here there is no left-moving sector to pair with, so the divergence is purely an IR artifact of the r(ν) ∝ -ln ν low-frequency behavior. The paper needs an explicit IR regulator, a statement about the resulting inequivalent representation, or a modification of the squeezing spectrum. Because the core computational content (normalization, Bogoliubov maps, commutation relations) is internally consistent, the paper is not fatally wrong, but the flagship interpretation is not supported as written. My proposed test is to discretize and compute the overlap with the Minkowski vacuum as a function of volume; it should decay exponentially, confirming non-Fock behavior. I therefore keep the reader's CONDITIONAL verdict but flag a different, more central condition: normalizability/unitary implementability.","tokens_in":17053,"tokens_out":20623,"duration_ms":220213,"concrete_test":"Discretize on a circle of circumference L with ν_n=2πn/L, n≥1, and define |0κ⟩_L as the product of single-mode squeezed states with tanh r_n=e^{-πν_n/κ}. Compute the overlap squared |⟨0M|0κ⟩_L|² = ∏_{n≥1} sech² r_n = exp[-∑_n 2 ln cosh r_n] for increasing L. If this tends to zero as e^{-cL}, the continuum limit is a non-Fock state and eq. (5.13) cannot hold as a unitary on Fock space. Equivalent check: evaluate ∫_0∞ sinh²(½ ln coth(πν/2κ)) dν; if it diverges, Shale's criterion fails.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The most load-bearing problem is the claimed Hilbert-space status of |0κ⟩. Equation (5.13) writes |0κ⟩ = exp[-½∫ r(ν)(a†²-a²)]|0M⟩, with r(ν)=½ ln coth(πν/2κ), i.e. |0κ⟩ is supposed to be obtained from the Minkowski vacuum by a unitary squeezing transformation. A diagonal Bogoliubov map aν → cosh r(ν)aν + sinh r(ν)a†ν is unitarily implementable on the Fock space of aν only if the off-diagonal kernel sinh r(ν) is Hilbert-Schmidt; on a box of size L this requires ∑ sinh² r(ν_n) < ∞, equivalently ∫ sinh² r(ν)dν < ∞ in the continuum. Here sinh r(ν)=e^{-πν/κ}/√(1-e^{-2πν/κ}) ~ √(κ/(2πν)) as ν→0, so ∫_0∞ sinh² r(ν)dν diverges logarithmically at the infrared. Therefore the squeezing transformation is not implementable as a unitary on the Minkowski Fock space; the exponentials in (5.9) and (5.13) are formal algebraic expressions, Zκ diverges, and |0κ⟩ is a non-Fock (inequivalent) vacuum rather than a normalizable continuous-mode squeezed state. This undercuts the paper's central interpretation, since the abstract and §5.3 explicitly promise a normalizable pure Gaussian state that is a continuous-mode squeezed vacuum of the Minkowski vacuum. The paper gives no IR regulator or representation-theoretic caveat.","agreement_with_reader":"disagree"},"referee_report":{"model":"deepseek-v4-flash","summary":"The paper introduces a one-parameter family of mode functions, termed κ-plane wave modes, constructed as κ-dependent linear combinations of positive- and negative-frequency Minkowski plane waves in 1+1-dimensional Minkowski spacetime. The associated annihilation operators A_{Λ,κ} define vacua |0κ⟩ that the paper claims satisfy (a_ν − e^{−πν/κ} a†_ν)|0κ⟩ = 0, hence are continuous-mode squeezed vacua with squeezing parameter r(ν) = (1/2) ln coth(πν/2κ), reducing to the Minkowski vacuum as κ→0. The paper also derives two Bogoliubov transformations between κ-plane wave and κ-Rindler operators, Eqs. (3.15) and (3.20), and claims they interpolate between Minkowski, Rindler, and Unruh quantizations. The algebraic manipulations appear internally consistent, but the central Hilbert-space interpretation is not: the squeezing spectrum is an input chosen in the ansatz, and the state fails the Shale criterion, rendering it a non-Fock algebraic state rather than a normalizable vector in the Minkowski Fock space.","tokens_in":17276,"tokens_out":7822,"duration_ms":76393,"significance":"If the squeezing characterization were genuinely derived and the state were normalizable, this would provide an interesting family of Gaussian vacua interpolating between Minkowski and non-Minkowski quantizations, with potential applications in relativistic quantum information and analog gravity. The paper does contain several correct and verifiable algebraic results: the normalization (2.5) with the ansatz (2.10), the Bogoliubov maps (3.4)–(3.5), and the limiting cases in Table 2 are consistent as formal mode expansions. However, the significance is substantially undercut by two facts: the squeezing spectrum is engineered through the ansatz rather than derived, and the purported normalizable pure Gaussian state is not in the Minkowski Fock space because the squeezing kernel fails Hilbert–Schmidt condition. These issues must be addressed before the claims in the abstract and Section 5.3 can be accepted.","major_comments":[{"comment":"The claim that |0κ⟩ is a normalizable continuous-mode squeezed vacuum in the Minkowski Fock space is inconsistent with Shale's criterion. With r(ν) = (1/2) ln coth(πν/2κ), one has sinh r(ν) = e^{−πν/κ}/√(1−e^{−2πν/κ}) ∼ √(κ/(2πν)) as ν→0, so ∫₀^∞ sinh² r(ν)dν diverges logarithmically at the infrared. Consequently the squeezing operator in (5.13) is not unitarily implementable, the normalization constant Zκ in (5.9) is not finite, and |0κ⟩ is a non-Fock algebraic state rather than a pure Gaussian state in the Minkowski Hilbert space. The authors must either supply an infrared regulator and state its removal, or explicitly reframe |0κ⟩ as a non-Fock algebraic state and adjust the abstract and Section 5.3 accordingly.","section":"Section 5.3, Eq. (5.13)"},{"comment":"The headline relation (5.8) is not a derived consequence of the general mode construction; it is built into the ansatz (2.10). Appendix B states that the coefficients were selected precisely so that γ(ν) = e^{−πν/κ} and hence the squeezed condition would hold, and any real coefficients satisfying the normalization (2.5) would define some squeezed vacuum with a different profile. The 'unique characterization' claimed in the abstract and in Section 5.3 should therefore be qualified: the resulting spectrum is a property of the chosen ansatz, not a prediction of the framework.","section":"Sections 2.1 and Appendix B"},{"comment":"The field expansion in Eq. (2.12) contains only the right-moving sector u = t−x. For a massless scalar field in 1+1 dimensions, the full field also contains a left-moving sector v = t+x, and the Minkowski vacuum appearing in (5.9) would be a product over both sectors. The paper must either state that it is treating a chiral field (and define the left-moving sector accordingly) or include the v-sector modes in the construction; otherwise the vacuum |0κ⟩ is not a vacuum of the full field theory as presented.","section":"Section 2.2, Eq. (2.12)"}],"minor_comments":[{"comment":"The symbol k (not κ) appears in the sinh argument, and the letter a is used for the acceleration, which conflicts with the annihilation operator a used in (3.5) and elsewhere. Please align the notation.","section":"Eq. (3.6)"},{"comment":"The list of limiting cases is garbled: the text says 'Minkowski plane wave as κ → 0 in (3.20)' and then 'Minkowski plane wave as κ′ → 0 in (3.20)' without clear distinction; please specify which equation and which limit recovers which mode.","section":"Paragraph after Eq. (3.20)"},{"comment":"The sign convention relating the first line (with η A†A†) to the second line (with tanh⁻¹η (AA − A†A†)) is not explained; a brief comment referencing the single-mode identity (D.2) with the chosen phase would remove ambiguity.","section":"Eq. (5.6)"},{"comment":"The normalization constant Zκ is never computed. Given the divergence discussed in major comment 1, the paper should either compute it in a regulated setting or state explicitly that it is infinite in the continuum limit.","section":"Eq. (5.9)"},{"comment":"The commutation relations (4.2) and (4.5) treat operators for different κ as if they act on a common Hilbert space. Since the vacua are not unitarily equivalent, these relations should be described as formal algebraic relations, and the associated limitations should be stated.","section":"Section 4"}],"recommendation":"major_revision","confidential_remarks":"The paper is an incremental contribution: the algebraic identities are correct, but the headline physical interpretation is invalid as stated due to the Shale criterion, and the 'unique' squeezing spectrum is chosen by hand in the ansatz. Substantial revision is needed to either regulate or reframe the state, and to temper the uniqueness and interpolation claims. The 'Mother of All Bogoliubov Transformations' terminology is disproportionate to the content. The paper might find a better fit in a journal focused on algebraic quantum field theory or quantum information, but in its current form it is not suitable for publication in a high-energy theory journal."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"Here's my take on Azizi's kappa-plane-wave paper. The reader's report is fair, but the stress-test note hits the real problem: the central claim that |0_kappa> is a normalizable squeezed state in the Minkowski Fock space is wrong.\n\nWhat's actually new: the kappa-plane-wave modes (2.11), the Bogoliubov maps (3.4), (3.5), and the long kappa-plane <-> kappa-Rindler relations (3.15), (3.20) are not in the literature I know. The algebra I spot-checked is consistent: normalization, symplectic conditions, and the squeezed conditions (5.8), (5.15). The construction is a legitimate one-parameter family of algebraic vacua that connects to Gaussian-state language.\n\nThe soft spots. First and most important: the state |0_kappa> is not a vector in Minkowski Fock space. The squeezing spectrum sinh r(nu) = e^{-pi nu/kappa}/sqrt(1-e^{-2 pi nu/kappa}) behaves like sqrt(kappa/(2 pi nu)) at low nu, so int sinh^2 r dnu diverges logarithmically. Shale's criterion for unitary implementability fails. The exponentials in (5.9) and (5.13) are formal algebraic expressions; Z_kappa diverges in infinite volume. The abstract's 'normalizable pure Gaussian state' is just not true. This needs a major revision: either present |0_kappa> as a non-Fock algebraic state (which is still interesting), or work in a finite box with an explicit IR cutoff. Second, the squeezing condition is, as Appendix B admits, put in by hand through the ansatz (2.10). The 'uniquely characterized' language is therefore overstated; any real coefficients satisfying (2.5) give a squeezed vacuum with a different profile. That's not fatal, but it should be described as a chosen pairing, not a theorem. Third, the paper quantizes only the right-moving sector (u=t-x); the left-movers are never defined. For a massless scalar in 1+1 dimensions, that is half the field. The paper should either restrict to a chiral field or specify the left-mover quantization. Finally, 'Mother of All Bogoliubov Transformations' is a lot of branding for a two-parameter family of mode maps.\n\nWho is this for? People working on vacuum structure, the Unruh effect, and the interface of Gaussian quantum information with QFT. The explicit formulas are handy, and the non-Fock nature is a good pedagogical example of Shale's theorem. But the paper in its current form overstates what it does.\n\nRecommendation: send it to referees, but the report should demand that the Hilbert-space status be fixed and the overstatements toned down. The construction itself is worth publishing if reframed.","headline":"The kappa-plane-wave construction is a genuine new family of algebraic vacua, but the central claim that |0_kappa> is a normalizable squeezed state in Minkowski Fock space fails Shale's criterion; it is a non-Fock state.","tokens_in":18019,"tokens_out":7036,"would_cite":true,"duration_ms":76757,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":["81T20","81R30"],"pacs":["03.70.+k","04.62.+v","42.50.Dv"],"model":"deepseek-v4-flash","headline":"The $\\kappa$-plane wave modes define a family of vacua $|0_\\kappa\\rangle$ that are continuous-mode squeezed states of the Minkowski vacuum, with $\\tanh r(\\nu)=e^{-\\pi\\nu/\\kappa}$.","keywords":["kappa plane wave modes","continuous-mode squeezed vacuum","squeezing parameter","Bogoliubov transformations","vacuum structure","Rindler modes","Unruh effect","Gaussian states"],"falsifier":"Expand the field using only the $\\kappa$-plane wave modes and compute the equal-time commutator $[\\Phi(t,x),\\partial_t\\Phi(t,x)]$; if the result is not $i\\delta(x-x')$, the single-moving-sector mode set is incomplete and $|0_\\kappa\\rangle$ is not the vacuum of the full (1+1)-dimensional field. A second check is to compute the per-mode occupation $\\langle N_\\nu\\rangle=\\sinh^2 r(\\nu)=1/(e^{2\\pi\\nu/\\kappa}-1)$: any deviation from this Planck form would show that the squeezed description of $|0_\\kappa\\rangle$ is not the one the modes actually realize.","tokens_in":16628,"feed_emoji":"⚛️","tokens_out":14333,"duration_ms":133430,"temperature":0.7,"pith_summary":"This paper introduces a one-parameter family of field modes in flat spacetime, the $\\kappa$-plane waves, formed by combining positive- and negative-frequency Minkowski plane waves with $\\kappa$-dependent weights. It claims that the associated vacuum $|0_\\kappa\\rangle$ is a continuous-mode squeezed vacuum: every frequency mode obeys $(a_\\nu - e^{-\\pi\\nu/\\kappa}a_\\nu^\\dagger)|0_\\kappa\\rangle=0$, with squeezing parameter $r(\\nu)=\\frac{1}{2}\\ln\\coth(\\pi\\nu/2\\kappa)$. The same construction yields two Bogoliubov transformations that interpolate between the known Minkowski, Rindler, and Unruh mode decompositions. If correct, this connects vacuum selection in quantum field theory to the Gaussian states and squeezing techniques of quantum optics, and provides a tunable family of pure vacua that reduce to the Minkowski vacuum as $\\kappa\\to0$.","feed_headline":"A new vacuum is squeezed at every frequency","feed_subtitle":"The κ-plane wave vacuum is a continuous-mode squeezed state that reduces to Minkowski as κ→0.","key_machinery":"The load-bearing object is the $\\kappa$-plane wave mode $\\Phi(u,\\Lambda,\\kappa)=\\big(8\\pi\\Lambda\\sinh(\\pi\\Lambda/\\kappa)\\big)^{-1/2}\\big(e^{\\pi\\Lambda/2\\kappa}e^{-i\\Lambda u}+e^{-\\pi\\Lambda/2\\kappa}e^{i\\Lambda u}\\big)$, whose coefficients are chosen so that $\\kappa$ is a single frequency-independent constant. The identity that carries the argument is the per-frequency annihilation condition $(a_\\nu-e^{-\\pi\\nu/\\kappa}a_\\nu^\\dagger)|0_\\kappa\\rangle=0$; since $|e^{-\\pi\\nu/\\kappa}|<1$, this condition selects a unique squeezed vacuum for each frequency. Assembling all frequencies gives the continuous-mode squeezing operator $\\exp\\left(-\\frac{1}{2}\\int_0^\\infty d\\nu\\,r(\\nu)(a_\\nu^{\\dagger 2}-a_\\nu^2)\\right)$, with $r(\\nu)=\\frac{1}{2}\\ln\\coth(\\pi\\nu/2\\kappa)$. The two Bogoliubov transformations (3.15) and (3.20) then connect this vacuum to the $\\kappa$-Rindler, Minkowski, Rindler, and Unruh bases.","core_discovery":"The central claim is that the $\\kappa$-plane wave vacuum $|0_\\kappa\\rangle$ is a pure, continuous-mode squeezed vacuum built on the Minkowski vacuum, not a thermal mixed state. For every positive frequency $\\nu$, the annihilation condition $(a_\\nu - e^{-\\pi\\nu/\\kappa}a_\\nu^\\dagger)|0_\\kappa\\rangle=0$ holds, and for these modes this condition uniquely characterizes the state. In unitary form, $|0_\\kappa\\rangle=\\exp\\left(-\\frac{1}{2}\\int_0^\\infty d\\nu\\, r(\\nu)(a_\\nu^\\dagger a_\\nu^\\dagger - a_\\nu a_\\nu)\\right)|0_M\\rangle$ with $r(\\nu)=\\frac{1}{2}\\ln\\coth(\\pi\\nu/2\\kappa)$, so the vacuum is a multimode squeezed state with a frequency-dependent squeezing spectrum. As $\\kappa\\to0$ the modes reduce to ordinary Minkowski plane waves and $|0_\\kappa\\rangle\\to|0_M\\rangle$; as $\\kappa$ grows, low-frequency modes become strongly squeezed. The companion Bogoliubov transformations between $\\kappa$-plane wave and $\\kappa$-Rindler operators reduce in the appropriate limits to the Minkowski-Rindler, Unruh, and Rindler decompositions, giving the paper's 'mother of all Bogoliubov transformations.'","pith_inferences":["Inference: because $|0_\\kappa\\rangle$ is a pure Gaussian state with a known covariance matrix, continuous-variable quantities such as entanglement entropy and logarithmic negativity can be evaluated the same way; the paper does not carry out these computations.","Inference: the exponential squeezing spectrum is an input of the ansatz rather than a derived consequence, so different allowed coefficient profiles would yield different squeezed-vacuum families; the paper's universality claim concerns the Bogoliubov map, not the spectrum.","Inference: the presented expansion quantizes only the right-moving ($u=t-x$) sector, so a full (1+1)-dimensional application needs the left-moving $v$-sector or a chiral restriction; adding that sector may alter the Bogoliubov transformations.","Inference: the Planckian occupation at temperature $\\kappa/2\\pi$ suggests that $\\kappa$ could serve as an effective temperature knob for analog or circuit experiments, an application the paper does not develop."],"forward_implications":["As $\\kappa\\to0$, the $\\kappa$-plane wave operators reduce to Minkowski plane wave operators and the vacuum reduces to the Minkowski vacuum, so the family continuously deforms standard flat-space quantization.","Each frequency sector of $|0_\\kappa\\rangle$ contains only even-number Fock states, with per-mode occupation $\\langle N_\\nu\\rangle=1/(e^{2\\pi\\nu/\\kappa}-1)$, the Planck form at temperature $\\kappa/2\\pi$.","Distinct $\\kappa$-vacua are inequivalent quantizations connected by a continuous squeezing operation with parameter $\\eta_{\\kappa,\\kappa',\\Lambda}=\\sinh(\\pi\\Lambda(1/\\kappa-1/\\kappa')/2)/\\sinh(\\pi\\Lambda(1/\\kappa+1/\\kappa')/2)$, and operators with different $\\kappa$ satisfy deformed commutation relations.","The Bogoliubov transformations (3.15) and (3.20) reduce to the Minkowski-Rindler, Unruh, and Rindler decompositions in the appropriate limits, unifying the standard flat-space mode maps.","The Minkowski vacuum can also be written as a squeezed state over $|0_\\kappa\\rangle$, so the thermal appearance of the vacuum in accelerated frames is recast as analytic squeezing within this family."],"supporting_citations":[{"why":"Supplies the $\\kappa$-Rindler mode construction and conventions that this paper extends, including the earlier family of $\\kappa$-vacua.","marker":"[21]"},{"why":"Provides the uniqueness result for squeezed states that supports the claim that the annihilation condition uniquely characterizes $|0_\\kappa\\rangle$.","marker":"[22]"},{"why":"Defines Unruh modes and the accelerated-observer thermal effect, one of the quantizations the new Bogoliubov transformations reduce to.","marker":"[9]"},{"why":"Establishes non-uniqueness of canonical field quantization, the premise that makes a one-parameter family of vacua meaningful.","marker":"[18]"},{"why":"Supply the continuous-variable and Gaussian quantum information formalism in which the continuous-mode squeezed vacuum interpretation is framed.","marker":"[23, 24]"}],"fun_headline_variants":["Kappa vacuum: squeezed at every frequency","Squeezed vacuum family from kappa plane waves","Continuous squeezing unifies quantum vacua","Kappa modes squeeze the vacuum continuously"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The load-bearing premise is that the specific exponential coefficient profile in the mode ansatz, with a single global constant $\\kappa$ and real positive weights, defines the physical modes; that profile is what produces the exponential squeezing spectrum $\\tanh r(\\nu)=e^{-\\pi\\nu/\\kappa}$, while other allowed coefficient choices would give different spectra, and only the right-moving sector is quantized in the presented expansion.","fun_headline_variants_meta":{"raw":{"variants":["Kappa vacuum: squeezed at every frequency","Squeezed vacuum family from kappa plane waves","Continuous squeezing unifies quantum vacua","Kappa modes squeeze the vacuum continuously"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000142,"raw_usage":{"total_tokens":1187,"prompt_tokens":984,"completion_tokens":203,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":600,"completion_tokens_details":{"reasoning_tokens":148}},"tokens_in":600,"tokens_out":203,"duration_ms":2826,"temperature":1.0,"reasoning_tokens":148,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-06T18:30:11.998157+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Expand the field using only the $\\kappa$-plane wave modes and compute the equal-time commutator $[\\Phi(t,x),\\partial_t\\Phi(t,x)]$; if the result is not $i\\delta(x-x')$, the single-moving-sector mode set is incomplete and $|0_\\kappa\\rangle$ is not the vacuum of the full (1+1)-dimensional field. A second check is to compute the per-mode occupation $\\langle N_\\nu\\rangle=\\sinh^2 r(\\nu)=1/(e^{2\\pi\\nu/\\kappa}-1)$: any deviation from this Planck form would show that the squeezed description of $|0_\\kappa\\rangle$ is not the one the modes actually realize.","supporting_citations":[{"cited_title":"Azizi,Uniqueness of Squeezed States for One and Two Modes, and a No-Go Beyond, 2025","cited_arxiv_id":null,"evidence_quote":"Provides the uniqueness result for squeezed states that supports the claim that the annihilation condition uniquely characterizes $|0_\\kappa\\rangle$."}],"review_version":1}