{"id":"239fe5e7-ac89-4fdc-be27-e867f62de3f9","arxiv_id":"2607.00059","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":2.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"Corrects an unphysical cross-wedge term in the decay probability formula for a uniformly accelerated quantum clock from Lorek et al. 2015 by retaining only causally consistent thermal terms.","lead":"This comment paper identifies an unphysical term in the 2015 calculation of decay probability for a uniformly accelerated quantum clock and removes it to respect causal separation between Rindler wedges. The correction matters for anyone modeling quantum systems under acceleration because it ensures the formula aligns with spacetime causality.","discovery_kind":"replication","skeptic_critique":{"model":"grok-4.3","headline":"No significant objection identified","rationale":"The reader's weakest assumption aligns with the paper's approach; the coordinate choice and causal separation provide a standard and direct basis for the correction, with no load-bearing gap apparent.","tokens_in":1599,"tokens_out":197,"duration_ms":12573,"concrete_test":"Recompute the decay probability integral from the original Lorek et al. setup, explicitly setting the cross-wedge matrix element to zero, and verify whether the resulting expression matches the corrected form claimed in the comment.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim rests on identifying an unphysical cross-wedge term in the original Eq.(19) and removing it via Rindler conformal coordinates (\tau, \tau) to retain only causally consistent terms. This follows directly from the spatial separation of Rindler wedges, with no evident internal inconsistency or unjustified assumption in the correction procedure described.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"This comment paper identifies an oversight in Eq.(19) of Lorek et al. (Class. Quantum Grav. 32 175003, 2015), where the decay probability for a uniformly accelerated quantum clock included an unphysical cross-wedge term |¯γ_{K1}|^2 that violates the spatial separation of Rindler wedges. The authors re-derive the probability from the original paper's Rindler conformal coordinates (τ, ξ), retaining only the causally consistent thermal terms, and discuss implications for relativistic clock models.","tokens_in":1659,"tokens_out":310,"duration_ms":17698,"significance":"If the correction holds, it removes a causal inconsistency from the model of accelerated quantum clocks, strengthening the physical consistency of relativistic quantum decay calculations in non-inertial frames. The reuse of the 2015 paper's exact coordinates provides a direct and parameter-free route to the fix, which is a methodological strength for such comments.","major_comments":[{"comment":"The central claim rests on the corrected probability being derivable while excluding the cross-wedge term; however, without an explicit side-by-side display of the original Eq.(19) versus the new expression (including the intermediate steps from the (τ, ξ) coordinates), the support for the removal cannot be verified as load-bearing for the correction.","section":"Derivation of corrected probability (referenced in abstract)"}],"minor_comments":[],"recommendation":"major_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for their careful reading of our comment and for the constructive suggestion regarding the presentation of the derivation. We address the single major comment below.","responses":[{"response":"We agree that an explicit side-by-side comparison, together with the intermediate steps, would make the correction more transparent and easier to verify. In the revised manuscript we will add: (i) the original Eq.(19) from Lorek et al. reproduced verbatim, (ii) the corrected probability expression, and (iii) the key intermediate steps starting from the Rindler conformal coordinates (τ, ξ) that show how the unphysical cross-wedge term |¯γ_{K1}|^2 is excluded while only the causally consistent thermal contributions remain.","revision_made":"yes","referee_comment":"The central claim rests on the corrected probability being derivable while excluding the cross-wedge term; however, without an explicit side-by-side display of the original Eq.(19) versus the new expression (including the intermediate steps from the (τ, ξ) coordinates), the support for the removal cannot be verified as load-bearing for the correction."}],"tokens_in":1187,"tokens_out":257,"duration_ms":11196,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The main takeaway is that the comment fixes an inconsistency in Eq.(19) of Lorek et al by dropping the |γ_K1|^2 term, which violates the spatial separation of Rindler wedges. The authors re-derive the probability in the same conformal coordinates (τ, ξ) and keep only the causally allowed thermal pieces.\n\nIt does the job cleanly by staying inside the original framework instead of adding new machinery. The logic about causal consistency follows from the wedge separation, and the stress-test found no internal contradiction in that step.\n\nThe soft spot is the narrow scope and the fact that the abstract gives the rationale without the full side-by-side derivation, so a reader still has to trust the algebra until the details are checked. That makes the correction plausible but not yet ironclad on its own.\n\nThis is for people already working with accelerated clocks or QFT in Rindler space who might be using the 2015 expressions. If the original paper matters to your calculations, the adjustment is worth noting.\n\nI would send it to peer review. Corrections to published equations are the sort of thing that deserves a referee even when the change is small.","headline":"This is a narrow but direct correction that removes an unphysical cross-wedge term from the 2015 decay probability.","tokens_in":2103,"tokens_out":309,"would_cite":false,"duration_ms":15422,"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":"The decay probability of a uniformly accelerated quantum clock excludes an unphysical cross-wedge term from earlier calculations.","keywords":["Rindler wedges","quantum clocks","decay probability","causal consistency","accelerated frames","Unruh effect"],"falsifier":"An independent calculation of the decay probability that either includes or excludes the cross-wedge term depending on whether the separation is enforced would test the correction.","tokens_in":2486,"feed_emoji":"⏰","tokens_out":515,"duration_ms":19819,"temperature":0.7,"pith_summary":"This paper corrects an equation in a prior study of quantum clocks undergoing uniform acceleration. The original expression contained a term mixing amplitudes across spatially separated Rindler wedges, which are causally disconnected. Removing this term leaves only the thermal contributions that respect the separation of the wedges. Such a correction matters because any model of time in relativity must avoid implying influences between disconnected regions. The derivation reuses the conformal coordinates introduced in the original work.","feed_headline":"Accelerated clock decay drops unphysical cross-wedge term","feed_subtitle":"Corrected probability retains only thermal terms consistent with wedge separation.","key_machinery":"The Rindler conformal coordinates (τ, ξ) with the requirement to exclude cross-wedge terms to maintain the spatial separation of the wedges.","core_discovery":"The corrected probability for the decay of the accelerated clock, derived in Rindler conformal coordinates (τ, ξ), contains solely the causally consistent thermal terms and omits the cross-wedge term |γ̄_{K 1}|^2.","pith_inferences":["This may require revisiting other calculations of quantum processes in Rindler spacetime that used similar expressions.","Testing could involve deriving the probability in alternative coordinate systems to confirm consistency.","Implications extend to how quantum information is handled across acceleration horizons."],"forward_implications":["The decay probability aligns with expectations from the thermal Unruh radiation without extraneous contributions.","Models of ideal clocks in accelerated frames require enforcement of causal separation to remain physical.","Discussions of clock behavior in relativity should verify the absence of terms linking disconnected spacetime regions."],"fun_headline_variants":["Correction drops unphysical cross-wedge term in clock decay","Refined accelerated clock decay omits invalid cross term","Fixed Rindler clock probability retains only thermal terms","Quantum clock correction removes causally inconsistent term"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"The assumption that the Rindler conformal coordinates can be used to derive the decay probability and that excluding the cross-wedge term is the proper way to enforce causal consistency.","fun_headline_variants_meta":{"raw":{"variants":["Correction drops unphysical cross-wedge term in clock decay","Refined accelerated clock decay omits invalid cross term","Fixed Rindler clock probability retains only thermal terms","Quantum clock correction removes causally inconsistent term"]},"model":"grok-4.3","cost_usd":0.003694,"raw_usage":{"total_tokens":1836,"prompt_tokens":502,"num_sources_used":0,"completion_tokens":59,"cost_in_usd_ticks":36937000,"prompt_tokens_details":{"text_tokens":502,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":1275,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":502,"tokens_out":59,"duration_ms":8494,"temperature":1.0,"reasoning_tokens":1275,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-07-02T19:38:17.662574+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"An independent calculation of the decay probability that either includes or excludes the cross-wedge term depending on whether the separation is enforced would test the correction.","supporting_citations":[],"review_version":1}