{"id":"a19a7694-cf77-4717-b4ee-057a282c6925","arxiv_id":"2606.17622","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":2.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"Contextual discussion of quantum mechanics in configuration space showing improved quantum-classical continuity via distinct classical mechanics formulation and avoidance of momentum inconsistency.","lead":"This paper contextualizes an alternative quantum formalism based on quantizing Newtonian mechanics using position-velocity states as the Hilbert space basis. It claims this approach avoids inconsistencies in momentum definition from standard canonical quantization and rests on a different classical starting point.","discovery_kind":"review","skeptic_critique":{"model":"grok-4.3","headline":"Whether |x,v> states evolving along classical trajectories form a consistent QM without contradicting predictions like interference or uncertainty","rationale":"The reader's weakest assumption correctly isolates the physical consistency requirement as load-bearing for the continuity claim. No independent verification (e.g., explicit operator algebra or experimental match) is visible in the supplied abstract, so the provisional UNVERDICTED status is appropriate; the proposed test would directly probe whether the concern materializes.","tokens_in":1664,"tokens_out":302,"duration_ms":19893,"concrete_test":"Construct an explicit two-state superposition |x1,v1> + |x2,v2> for a free particle, apply the claimed classical trajectory evolution operator, and compute the probability density at later times; check whether it exhibits spreading or interference fringes matching the standard Schrödinger equation solution for the same initial conditions.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim requires that quantizing Newtonian mechanics via pairwise distinguishable |x,v> states (evolving classically) avoids the momentum inconsistency of canonical quantization while remaining physically viable. This hinges on the unexamined assumption that such states can encode wave-particle duality and match all established QM results. If the dynamics remain strictly classical trajectories (even for superpositions), the formalism risks reducing to a labeled classical theory rather than reproducing diffraction, tunneling, or non-classical correlations. The abstract provides no derivation showing how the Hilbert space structure or measurement postulate emerges without new inconsistencies.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The manuscript claims that quantum mechanics in configuration space, as introduced in Bukhari et al. (New J. Phys. 27, 084501, 2025), quantizes Newtonian mechanics by promoting classical (x,v) states to pairwise distinguishable |x,v> states that evolve along classical trajectories. This formalism is argued to increase continuity with classical mechanics by avoiding a conceptual inconsistency in the momentum definition inherent to canonical quantization. The paper further states that standard quantum mechanics and this configuration-space approach rest on distinct formulations of classical mechanics, with the discussion centered on modeling a free particle.","tokens_in":1795,"tokens_out":464,"duration_ms":25630,"significance":"If the formalism proves internally consistent and capable of reproducing established quantum predictions, the work could provide a useful conceptual bridge between classical and quantum descriptions, clarifying wave-particle duality through a physically motivated quantization procedure. The paper's emphasis on distinct classical foundations is a clear framing contribution, though its significance remains conditional on independent verification of physical viability beyond the referenced prior construction.","major_comments":[{"comment":"Modelling of a mechanical particle in free space: The evolution of |x,v> states along strictly classical trajectories is presented without a derivation or explicit argument showing how superpositions encode interference, diffraction, or the uncertainty principle, which is load-bearing for the claim that the formalism constitutes a physically consistent alternative to canonical quantization.","section":"Modelling of a mechanical particle in free space"},{"comment":"The avoidance of the momentum inconsistency is defined relative to the 2025 Bukhari et al. construction without an independent external benchmark or cross-check against standard QM predictions shown in this manuscript, leaving the central continuity claim dependent on the prior work's internal definitions.","section":"Introduction"}],"minor_comments":[{"comment":"The abstract and introduction could more explicitly delineate the novel contextual contributions of this paper from the foundational results of the 2025 reference.","section":null}],"recommendation":"major_revision","confidential_remarks":"This appears to be a direct follow-up to the lead author's own prior work; the editor may wish to confirm that the novelty and self-citation balance meet journal standards for conceptual papers."},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for the constructive report. The manuscript is a contextual discussion building directly on Bukhari et al. (2025), and we address the two major comments below by clarifying scope and offering targeted revisions where they strengthen presentation without expanding beyond the paper's stated purpose.","responses":[{"response":"The manuscript's scope is contextual framing of the free-particle case rather than a self-contained re-derivation of the full formalism. The explicit construction showing how |x,v> superpositions encode interference, diffraction, and uncertainty is given in Bukhari et al. (New J. Phys. 27, 084501, 2025), which this paper cites as its foundation. To improve accessibility we will add a short paragraph in the modelling section that summarizes the key superposition argument from the prior work, including a concrete free-particle example of interference, while keeping the focus on continuity and classical foundations.","revision_made":"partial","referee_comment":"[Modelling of a mechanical particle in free space] Modelling of a mechanical particle in free space: The evolution of |x,v> states along strictly classical trajectories is presented without a derivation or explicit argument showing how superpositions encode interference, diffraction, or the uncertainty principle, which is load-bearing for the claim that the formalism constitutes a physically consistent alternative to canonical quantization."},{"response":"This is correct: the continuity claim is framed relative to the Bukhari et al. (2025) definitions because the present paper's contribution is to place that formalism in context and to highlight that standard QM and configuration-space QM rest on distinct classical starting points (Newtonian vs. Hamiltonian). No new predictive cross-checks are performed here precisely because the manuscript is not a validation study. We will revise the introduction to state this reliance and the paper's distinct conceptual contribution more explicitly.","revision_made":"yes","referee_comment":"[Introduction] The avoidance of the momentum inconsistency is defined relative to the 2025 Bukhari et al. construction without an independent external benchmark or cross-check against standard QM predictions shown in this manuscript, leaving the central continuity claim dependent on the prior work's internal definitions."}],"tokens_in":1306,"tokens_out":466,"duration_ms":27578,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The core point is that this paper walks through how the |x,v> states from Bukhari et al. 2025 avoid the momentum inconsistency that appears when you quantize the usual Hamiltonian formulation of classical mechanics. It contrasts that with the Newtonian starting point used here, where position-velocity pairs are promoted directly to distinguishable basis states that follow classical paths. The write-up is clear on that distinction and on the resulting continuity with classical mechanics.\n\nThe authors do a straightforward job of spelling out the conceptual framing without adding extra claims. They stick to showing that the two approaches rest on different classical mechanics, which is a useful clarification for anyone already looking at the 2025 construction.\n\nThe obvious limitation is that nothing here stands alone. The consistency arguments, the Hilbert space, and the dynamics all come from the prior paper, and this one supplies no additional derivations, no comparison to interference or uncertainty relations, and no independent test. Readers will have to judge the 2025 work first. The stress-test worry about whether classical trajectories plus superpositions can recover standard QM features is not resolved in this text either.\n\nThis is for people already working on quantum foundations or alternative quantizations. It is not required reading for most quantum information or many-body work. The argument is internally coherent and engages the literature on its own terms, so it is worth sending to a foundations journal for refereeing even though the contribution is mainly contextual.","headline":"This is a discussion paper that situates the authors' 2025 configuration-space formalism but introduces no new technical results or checks.","tokens_in":2250,"tokens_out":359,"would_cite":false,"duration_ms":12785,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.3","headline":"Quantum mechanics in configuration space avoids the momentum definition inconsistency that appears in canonical quantisation by using a direct quantisation of Newtonian mechanics.","keywords":["quantum mechanics","configuration space","canonical quantisation","Newtonian mechanics","position-velocity states","wave-particle duality","momentum inconsistency"],"falsifier":"A calculation or measurement showing that the |x,v> states produce observable predictions that differ from standard quantum mechanics in a regime where both formalisms can be applied without additional assumptions.","tokens_in":2582,"feed_emoji":"","tokens_out":710,"duration_ms":21498,"temperature":0.7,"pith_summary":"The paper places a recently introduced formalism into context by showing that it rests on a physically motivated quantisation of Newtonian mechanics rather than on canonical quantisation. In this approach, classical position-velocity states (x,v) are promoted to pairwise distinguishable quantum states |x,v> that serve as the basis for the Hilbert space and evolve exactly along classical trajectories. A sympathetic reader would care because the construction removes a conceptual mismatch between the way momentum is defined in standard quantum mechanics and the way it behaves in classical mechanics. The paper also notes that the two formalisms therefore originate from two distinct classical starting points, one Lagrangian and one Newtonian.","feed_headline":"New quantisation of Newtonian mechanics removes momentum inconsistency","feed_subtitle":"By promoting position-velocity pairs to |x,v> states that follow classical paths, the approach stays closer to Newtonian mechanics than cano","key_machinery":"The |x,v> states obtained by promoting classical position-velocity pairs to pairwise distinguishable quantum states that evolve along classical trajectories.","core_discovery":"Quantum mechanics in configuration space increases the continuity between quantum and classical mechanics by avoiding a conceptual inconsistency associated with the definition of momentum in canonical quantisation. The formalism promotes classical position-velocity states (x,v) to pairwise distinguishable quantum states |x,v> that form the basis of the Hilbert space of individual particles and evolve along classical trajectories. Standard quantum mechanics and quantum mechanics in configuration space are based on two distinct formulations of classical mechanics.","pith_inferences":["If the assumption holds, the formalism could be extended to interacting particles by defining suitable joint |x,v> states without invoking interaction Hamiltonians at the quantisation step.","The distinction between the two classical starting points suggests that other classical formulations, such as Hamilton-Jacobi theory, might yield still further quantisation routes with different continuity properties.","Experimental tests could focus on whether the strict classical evolution of |x,v> states survives when the system is coupled to a measuring apparatus."],"forward_implications":["The new formalism supplies an alternative route for modelling a mechanical particle in free space that stays closer to Newtonian trajectories.","Wave-particle duality is implemented through the pairwise distinguishability of the |x,v> states rather than through operator promotion.","Any conceptual tension arising from the momentum operator in canonical quantisation is sidestepped because momentum is never promoted from a classical function in the same way.","The two quantum theories remain empirically equivalent for the cases examined while resting on different classical foundations."],"fun_headline_variants":["Configuration space QM avoids momentum inconsistency","Promotes position-velocity pairs to |x,v> quantum states","Classical trajectories in quantum config space formalism","Avoids momentum issue with Newtonian quantisation approach","Increases continuity between quantum and classical mechanics"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"Promoting classical position-velocity states to pairwise distinguishable quantum states that evolve along classical trajectories yields a physically consistent theory that introduces no new inconsistencies and does not contradict established quantum predictions.","fun_headline_variants_meta":{"raw":{"variants":["Configuration space QM avoids momentum inconsistency","Promotes position-velocity pairs to |x,v> quantum states","Classical trajectories in quantum config space formalism","Avoids momentum issue with Newtonian quantisation approach","Increases continuity between quantum and classical mechanics"]},"model":"grok-4.3","cost_usd":0.00923,"raw_usage":{"total_tokens":4110,"prompt_tokens":621,"num_sources_used":0,"completion_tokens":66,"cost_in_usd_ticks":92299500,"prompt_tokens_details":{"text_tokens":621,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":3423,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":621,"tokens_out":66,"duration_ms":29566,"temperature":1.0,"reasoning_tokens":3423,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-27T00:41:08.812521+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"A calculation or measurement showing that the |x,v> states produce observable predictions that differ from standard quantum mechanics in a regime where both formalisms can be applied without additional assumptions.","supporting_citations":[],"review_version":1}