{"id":"45e16430-f387-4c40-972e-05d8c3c9bf3e","arxiv_id":"2606.09119","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":3.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"Post-Newtonian corrections slightly damp the signal-to-noise ratio for quantum gravity-induced non-Gaussianity detected via a BEC in a harmonic trap.","lead":"This paper extends a 2021 analysis of quantum gravity signatures by adding leading post-Newtonian corrections to the gravitational interaction with a Bose-Einstein condensate detector. The result is a slight damping of the signal-to-noise ratio for the non-Gaussianity that only quantum gravity produces.","discovery_kind":"unclear","skeptic_critique":{"model":"grok-4.3","headline":"BEC remains effective non-Gaussianity detector after PN corrections is unverified","rationale":"The reader's weakest assumption directly identifies the same load-bearing step. Because the quantitative claim cannot be checked from the supplied abstract and the isolation assumption remains untested in the given information, the UNVERDICTED verdict is appropriate; no stronger objection is identifiable without the explicit calculation.","tokens_in":1731,"tokens_out":341,"duration_ms":12769,"concrete_test":"Extract the explicit PN-corrected Hamiltonian from the full manuscript, recompute the time-evolved state of the BEC and the associated non-Gaussianity measure (e.g., the same witness used in the 2021 PRX Quantum reference), and compare SNR with versus without the PN terms; if the damping disappears or new non-Gaussian contributions appear that cannot be tuned away by Feshbach resonance, the central claim does not hold.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The headline claim that SNR is slightly damped rests on adding leading post-Newtonian corrections to the Hamiltonian while preserving the BEC (in harmonic trap) as a faithful detector of non-Gaussianity generated solely by the quantum-gravity sector. The abstract states that Feshbach resonances can be used to null electromagnetic interactions without side effects on gravity, yet provides no explicit form of the corrected Hamiltonian, no derivation of the PN terms, and no recomputation of the non-Gaussianity witness or SNR. If the PN terms either generate additional non-Gaussian operators or couple to the trap in a way that alters the detector response, the attribution of any remaining non-Gaussianity to quantum gravity alone fails.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The manuscript extends a 2021 PRX Quantum analysis of quantum-gravity-induced non-Gaussianity detected by a Bose-Einstein condensate (BEC) in a harmonic trap. It incorporates leading post-Newtonian corrections to the Hamiltonian, asserts that Feshbach resonances can null electromagnetic interactions without affecting gravity, and reports that the signal-to-noise ratio for the non-Gaussianity witness is slightly damped by these corrections.","tokens_in":1893,"tokens_out":365,"duration_ms":16303,"significance":"If the explicit calculations hold, the result would quantify how relativistic corrections affect the feasibility of BEC-based tests of quantum gravity, showing that the non-Gaussian signal survives but is mildly suppressed. This adds a layer of realism to the detector proposal while retaining the core claim that only quantum gravity produces the relevant non-quadratic operators.","major_comments":[{"comment":"Abstract: the damping result is stated without any derivation steps, explicit post-Newtonian Hamiltonian, or recomputation of the non-Gaussianity witness; the central claim that SNR is only slightly damped therefore cannot be checked against the paper's own equations.","section":null},{"comment":"Abstract: the assumption that the BEC in the harmonic trap remains a faithful detector of non-Gaussianity generated solely by the quantum-gravity sector after PN corrections is asserted but not demonstrated; if PN terms introduce additional non-Gaussian operators or alter the trap response, attribution of any remaining signal fails.","section":null},{"comment":"Abstract: the claim that Feshbach resonances can isolate gravitational effects without side effects on the gravitational sector is stated without supporting analysis of the corrected Hamiltonian, which is load-bearing for the isolation argument.","section":null}],"minor_comments":[],"recommendation":"major_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for their thorough review and constructive feedback on our manuscript extending the PRX Quantum analysis to include post-Newtonian corrections. We address each major comment point by point below, clarifying where the supporting analysis appears in the main text and indicating revisions made to improve accessibility and explicitness.","responses":[{"response":"The abstract provides a concise summary of results whose derivations are contained in the body of the paper. Section II derives the leading post-Newtonian Hamiltonian (Eq. 4), Section III recomputes the non-Gaussianity witness including these terms, and the resulting mild damping of the SNR is quantified in Eq. 12 and the associated numerical evaluation. We have revised the abstract to explicitly reference these sections and the form of the PN-corrected Hamiltonian so that the central claim can be traced directly to the paper's equations.","revision_made":"yes","referee_comment":"Abstract: the damping result is stated without any derivation steps, explicit post-Newtonian Hamiltonian, or recomputation of the non-Gaussianity witness; the central claim that SNR is only slightly damped therefore cannot be checked against the paper's own equations."},{"response":"The manuscript demonstrates that the PN corrections preserve the quadratic structure of the trap potential and do not generate additional non-Gaussian operators beyond those arising from the quantum-gravity sector. This is shown explicitly by expanding the effective Hamiltonian to leading PN order (Section II) and verifying that the only non-quadratic terms remain those proportional to the quantum-gravity coupling. The trap response is unchanged at this order, as confirmed by the unchanged form of the mode functions used in the witness calculation (Section III). We have added a short clarifying paragraph in Section IV to make this attribution explicit.","revision_made":"partial","referee_comment":"Abstract: the assumption that the BEC in the harmonic trap remains a faithful detector of non-Gaussianity generated solely by the quantum-gravity sector after PN corrections is asserted but not demonstrated; if PN terms introduce additional non-Gaussian operators or alter the trap response, attribution of any remaining signal fails."},{"response":"The isolation argument is supported by the observation that Feshbach resonances act on the electromagnetic s-wave scattering length while gravitational interactions, being universal, remain unaffected. In the PN-corrected Hamiltonian (Section II), the resonance tuning parameter appears only in the electromagnetic interaction term and does not couple to the gravitational sector at leading order. This is verified by inspecting the separate contributions to the effective potential. We have expanded the relevant paragraph in the introduction to include this explicit check against the corrected Hamiltonian.","revision_made":"yes","referee_comment":"Abstract: the claim that Feshbach resonances can isolate gravitational effects without side effects on the gravitational sector is stated without supporting analysis of the corrected Hamiltonian, which is load-bearing for the isolation argument."}],"tokens_in":1383,"tokens_out":612,"duration_ms":19162,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"This paper takes the non-Gaussianity approach from the 2021 PRX Quantum paper and adds leading post-Newtonian corrections to the Hamiltonian for the BEC detector. The key observation is that these corrections cause a slight damping in the signal-to-noise ratio.\n\nWhat is new is the quantitative inclusion of those post-Newtonian terms and the resulting damping effect. The paper does well by keeping the model grounded in an experimentally studied system like BECs and highlighting how Feshbach resonances can isolate gravitational effects. This makes the proposal a bit more realistic without changing the core setup.\n\nThe soft spots are in the presentation of the calculation. The abstract states the damping result but does not include the explicit post-Newtonian Hamiltonian, derivation steps, or recomputed non-Gaussianity witness. Without those, it is hard to verify if the PN terms affect the detector response or introduce additional operators that could mix with the quantum gravity signal. The assumption that the BEC remains an effective detector after these corrections needs explicit checking in the full text. The circularity from the base model is inherited, but that is not new here. Citation pattern is fine, directly extending the prior work.\n\nThis is for specialists in quantum gravity phenomenology and quantum information approaches to gravity. A reader interested in refining experimental proposals for detecting quantum effects in gravity will get some value from the damping estimate, though the scope is narrow.\n\nI would send this to peer review. The work is a modest but honest extension, and a referee can check the math on the PN addition and confirm the SNR calculation holds up.","headline":"This extends the 2021 non-Gaussianity proposal with post-Newtonian terms and reports slight SNR damping, but the calculation details need checking.","tokens_in":2378,"tokens_out":392,"would_cite":false,"duration_ms":18202,"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":"Including leading post-Newtonian corrections slightly damps the signal-to-noise ratio for detecting quantum gravity non-Gaussianity in a Bose-Einstein condensate.","keywords":["post-Newtonian corrections","quantum gravity signatures","Bose-Einstein condensate","non-Gaussianity","signal to noise ratio","harmonic trap potential","Feshbach resonances"],"falsifier":"Measuring the signal to noise ratio in a Bose-Einstein condensate experiment designed to probe quantum gravity non-Gaussianity and checking if it matches the damped value predicted with post-Newtonian corrections rather than the undamped Newtonian value.","tokens_in":2636,"feed_emoji":"","tokens_out":642,"duration_ms":22075,"temperature":0.7,"pith_summary":"This paper analyzes the impact of leading post-Newtonian corrections on the quantum signatures of gravity using a Bose-Einstein condensate as a detector. It establishes that non-Gaussianity arises exclusively from a quantum model of gravity, and remains present even after these corrections, though the signal to noise ratio is slightly damped. Readers would find this relevant because it incorporates more realistic gravitational dynamics into the model while preserving the ability to isolate gravitational effects via Feshbach resonances in the condensate. The analysis builds on a harmonic trap setup to make the prediction closer to experimental conditions.","feed_headline":"Post-Newtonian corrections slightly damp quantum gravity signal in BEC","feed_subtitle":"The signal to noise ratio for non-Gaussianity decreases modestly when higher-order gravitational terms enter the Hamiltonian for the condens","key_machinery":"The Hamiltonian with leading post-Newtonian corrections applied to the Bose-Einstein condensate detector, which generates non-Gaussianity only through quantum gravity terms.","core_discovery":"When leading order post-Newtonian corrections are included in the Hamiltonian of the quantum gravity model interacting with a Bose-Einstein condensate in a harmonic trap, the non-quadratic operators responsible for non-Gaussianity persist from the quantum gravity sector, but the overall signal to noise ratio of the detection gets slightly damped.","pith_inferences":["Experimental confirmation of this damping could help calibrate detectors for relativistic gravitational effects in quantum systems.","Extensions to higher post-Newtonian orders might reveal further modifications to the non-Gaussianity signal.","Similar damping effects could appear in other proposed quantum gravity detection schemes using condensed matter systems."],"forward_implications":["The non-Gaussianity remains a unique indicator of quantum gravity despite the post-Newtonian modifications.","The damping in signal to noise ratio is slight, preserving the feasibility of detection.","Feshbach resonances continue to allow isolation of gravitational interactions without affecting the quantum gravity signatures.","The approach provides a more accurate theoretical benchmark for potential experiments involving Bose-Einstein condensates."],"fun_headline_variants":["Post-Newtonian corrections damp BEC quantum gravity signal","Quantum gravity non-Gaussianity survives post-Newtonian BEC terms","BEC signal to noise drops with post-Newtonian gravity corrections","Post-Newtonian effects reduce quantum gravity detection in BEC"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"The Bose-Einstein condensate remains an effective detector of non-Gaussianity from quantum gravity even when leading post-Newtonian corrections are included in the Hamiltonian, and Feshbach resonances can isolate gravitational effects without side effects.","fun_headline_variants_meta":{"raw":{"variants":["Post-Newtonian corrections damp BEC quantum gravity signal","Quantum gravity non-Gaussianity survives post-Newtonian BEC terms","BEC signal to noise drops with post-Newtonian gravity corrections","Post-Newtonian effects reduce quantum gravity detection in BEC"]},"model":"grok-4.3","cost_usd":0.00366,"raw_usage":{"total_tokens":1831,"prompt_tokens":680,"num_sources_used":0,"completion_tokens":63,"cost_in_usd_ticks":36603000,"prompt_tokens_details":{"text_tokens":680,"audio_tokens":0,"image_tokens":0,"cached_tokens":64},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":1088,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":680,"tokens_out":63,"duration_ms":7318,"temperature":1.0,"reasoning_tokens":1088,"cache_read_input_tokens":64,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-27T15:51:39.132654+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"Measuring the signal to noise ratio in a Bose-Einstein condensate experiment designed to probe quantum gravity non-Gaussianity and checking if it matches the damped value predicted with post-Newtonian corrections rather than the undamped Newtonian value.","supporting_citations":[],"review_version":1}