{"id":"1943ef45-2a04-4bde-a904-847da76b68c2","arxiv_id":"2606.23756","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":3.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"EGUP alters Hawking temperature, heat capacity, Gibbs free energy, entropy and pressure of the Kerr-Newman black hole surrounded by quintessence, with comparisons to GUP/EUP and analysis of remnant mass and stability.","lead":"This paper applies the Extended Generalized Uncertainty Principle to compute corrections on the thermodynamics of a Kerr-Newman black hole in a quintessence background and compares the results to GUP and EUP cases. A generalist reader might examine it to see how quantum-gravity modifications are modeled across cosmic epochs in the presence of dark energy.","discovery_kind":"new_application","skeptic_critique":{"model":"grok-4.3","headline":"EGUP insertion into KNBHQ thermodynamics lacks consistency derivation from metric or field equations","rationale":"The reader's weakest_assumption correctly isolates the same substitution step. Because the full text is now referenced, the concern can be tested directly rather than left UNVERDICTED; the test above would decide whether the claim holds or requires additional consistency conditions.","tokens_in":1696,"tokens_out":280,"duration_ms":10637,"concrete_test":"Re-derive the Hawking temperature for the KNBHQ metric using the tunneling method with the EGUP-modified dispersion relation (as in §3 of the paper); compare the result to the direct substitution used for T in the thermodynamic analysis. If the two expressions differ by more than the leading-order correction term, the substitution step is inconsistent.","verdict_should_be":"CONDITIONAL","load_bearing_attack":"The central claim requires that EGUP (and GUP/EUP) modifications can be substituted directly into the standard expressions for Hawking temperature, heat capacity, entropy, etc., of the Kerr-Newman metric with quintessence. This substitution is not derived from the surface gravity, tunneling probability, or modified Einstein equations; the paper treats the uncertainty-principle replacement as an independent input without back-reaction terms or verification that the resulting thermodynamics remain consistent with the underlying spacetime geometry and quintessence stress-energy.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The paper investigates the effects of the Extended Generalized Uncertainty Principle (EGUP) on the thermodynamic quantities (Hawking temperature, heat capacity, Gibbs free energy, entropy, pressure) of the Kerr-Newman black hole surrounded by quintessence (KNBHQ). It performs a comparative analysis with the Generalized Uncertainty Principle (GUP, relevant to early universe) and Extended Uncertainty Principle (EUP, relevant to late universe), and additionally studies remnant mass, temperature, and stability under quintessence influence.","tokens_in":1765,"tokens_out":395,"duration_ms":8188,"significance":"If the EGUP modifications can be shown to follow consistently from the underlying geometry, the comparative analysis across cosmic epochs could offer useful phenomenological insights into quantum-gravity corrections to black-hole thermodynamics in the presence of dark energy. The manuscript does not, however, supply machine-checked derivations, parameter-free results, or falsifiable predictions that would strengthen its impact.","major_comments":[{"comment":"The central procedure—direct substitution of EGUP (and GUP/EUP) corrections into the standard expressions for Hawking temperature, heat capacity, entropy, etc.—is not derived from the surface gravity of the KNBHQ metric, from a tunneling calculation, or from modified Einstein equations that incorporate the quintessence stress-energy. This substitution is load-bearing for every claimed variation and for the remnant/stability conclusions.","section":"Abstract and main text (method of inserting uncertainty-principle modifications)"},{"comment":"No back-reaction terms or consistency conditions are supplied to verify that the modified thermodynamic quantities remain compatible with the Kerr-Newman–quintessence spacetime geometry. Without this step the reported evolution from early- to late-universe regimes rests on an unverified assumption.","section":"Thermodynamic derivations (throughout)"}],"minor_comments":[],"recommendation":"major_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for the constructive comments. We address each major point below and indicate where revisions will be made.","responses":[{"response":"We acknowledge that the modifications are introduced phenomenologically by substituting the EGUP-corrected minimal length and momentum into the standard thermodynamic expressions, following the approach common in the GUP/EUP black-hole literature. This permits direct comparison between early-universe (GUP), late-universe (EUP) and combined (EGUP) regimes on the fixed KNBHQ background. A derivation from modified surface gravity or tunneling is not performed in the present work. In revision we will add an explicit statement of this assumption together with additional references to papers that obtain analogous corrections via tunneling methods.","revision_made":"partial","referee_comment":"[Abstract and main text (method of inserting uncertainty-principle modifications)] The central procedure—direct substitution of EGUP (and GUP/EUP) corrections into the standard expressions for Hawking temperature, heat capacity, entropy, etc.—is not derived from the surface gravity of the KNBHQ metric, from a tunneling calculation, or from modified Einstein equations that incorporate the quintessence stress-energy. This substitution is load-bearing for every claimed variation and for the remnant/stability conclusions."},{"response":"The study treats the Kerr-Newman-quintessence metric as the fixed classical background and applies EGUP corrections only to the thermodynamic quantities extracted from it. Self-consistent back-reaction would require solving the Einstein equations with quantum-gravity corrections, which lies outside the scope of this comparative phenomenological analysis. We will insert a clarifying paragraph in the introduction and conclusions stating the fixed-background assumption and its consistency with prior GUP/EUP studies.","revision_made":"partial","referee_comment":"[Thermodynamic derivations (throughout)] No back-reaction terms or consistency conditions are supplied to verify that the modified thermodynamic quantities remain compatible with the Kerr-Newman–quintessence spacetime geometry. Without this step the reported evolution from early- to late-universe regimes rests on an unverified assumption."}],"tokens_in":1322,"tokens_out":448,"duration_ms":21123,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The paper applies the extended generalized uncertainty principle to the thermodynamics of the Kerr-Newman black hole surrounded by quintessence, then compares the outcomes to the GUP and EUP cases. It tracks shifts in Hawking temperature, heat capacity, Gibbs free energy, entropy, and pressure, plus remnant mass and stability, framed as evolution from early to late universe under quintessence.\n\nWhat is new is the specific combination: EGUP plus quintessence on this particular rotating charged geometry, plus the side-by-side GUP/EUP runs. Prior literature already had GUP corrections on Kerr-Newman and on quintessence black holes separately, so the joint case is an incremental extension rather than a new framework.\n\nThe soft spot is exactly the one flagged in the stress-test. The corrections are inserted directly into the usual thermodynamic expressions without a derivation from surface gravity, tunneling rates, or modified Einstein equations that include the quintessence field. No back-reaction term appears, and there is no check that the resulting thermodynamics remain consistent with the underlying spacetime. That leaves the numerical curves as illustrations of an assumed replacement rather than results forced by the geometry.\n\nThis is for the small group already working on uncertainty-principle corrections to black-hole thermodynamics. A specialist might pull the plots for comparison, but the missing consistency step limits how far the results can be trusted or built upon.\n\nI would not send it to referees.","headline":"Straight substitution of EGUP into standard KNBHQ thermodynamic formulas, with no derivation from the metric or quintessence stress-energy.","tokens_in":2291,"tokens_out":355,"would_cite":false,"duration_ms":18159,"reading_group":"no","serious_thinker":"yes","would_accept_peer_review":false},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":[],"model":"grok-4.3","headline":"The Extended Generalized Uncertainty Principle alters Hawking temperature, heat capacity, entropy and other thermodynamic quantities of the Kerr-Newman black hole surrounded by quintessence as the universe evolves from early to late stages.","keywords":["Kerr-Newman black hole","quintessence","Extended Generalized Uncertainty Principle","Hawking temperature","heat capacity","remnant mass","GUP","EUP"],"falsifier":"A measured black-hole remnant mass or temperature that deviates from the EGUP-corrected formula by more than the observational uncertainty while matching the uncorrected Kerr-Newman-quintessence prediction would falsify the central claim.","tokens_in":2600,"feed_emoji":"🕳️","tokens_out":773,"duration_ms":14404,"temperature":0.7,"pith_summary":"This paper inserts the Extended Generalized Uncertainty Principle into the thermodynamic relations of a Kerr-Newman black hole surrounded by quintessence and tracks how the resulting quantities differ from those obtained with the Generalized Uncertainty Principle and the Extended Uncertainty Principle. The analysis covers Hawking temperature, heat capacity, Gibbs free energy, entropy, and pressure, together with remnant mass and stability, across the transition from early-universe to late-universe regimes. A sympathetic reader would care because the work supplies concrete expressions for how a quantum-gravity-motivated correction changes black-hole thermodynamics in the presence of dark energy.","feed_headline":"EGUP alters thermodynamics of quintessence Kerr-Newman black holes","feed_subtitle":"Temperature, heat capacity and remnant mass evolve differently from early to late universe when the extended uncertainty principle is includ","key_machinery":"Direct substitution of the EGUP (and its GUP/EUP limits) into the thermodynamic identities derived from the Kerr-Newman metric with quintessence term, yielding corrected expressions for temperature, heat capacity and free energy.","core_discovery":"When the EGUP is substituted into the first law and the area law for the Kerr-Newman black hole surrounded by quintessence, the Hawking temperature, heat capacity, Gibbs free energy, entropy and pressure acquire explicit dependence on the EGUP parameters; these modified quantities evolve continuously from the early-universe regime (where GUP dominates) to the late-universe regime (where EUP dominates), and the black hole possesses a remnant mass whose value depends on the quintessence and EGUP parameters.","pith_inferences":["If the EGUP correction survives in a full quantum-gravity treatment, similar modifications would appear in the thermodynamics of other dark-energy-surrounded black holes.","The continuous interpolation between early- and late-universe regimes suggests a single effective uncertainty principle could describe the entire cosmic history of black-hole evaporation.","Observational bounds on remnant masses from primordial black holes could directly constrain the EGUP deformation parameter once quintessence density is fixed by cosmology."],"forward_implications":["The heat capacity changes sign at a critical mass that depends on the EGUP deformation parameter, indicating a shift in the stable-to-unstable transition.","Entropy receives an additive correction linear in the EGUP parameter that grows with the quintessence density.","Gibbs free energy develops a minimum whose location moves to higher mass when the universe transitions from GUP-dominated to EUP-dominated regimes.","A nonzero remnant mass remains after complete evaporation, with its value set by the balance between quintessence and EGUP parameters.","Pressure derived from the equation of state exhibits a quintessence-driven negative contribution that is modulated by the EGUP correction."],"fun_headline_variants":["EGUP modifies KNBHQ temperature heat capacity and remnant mass","EGUP parameters reshape Kerr-Newman thermodynamics with quintessence","GUP to EUP shift alters black hole entropy and pressure under EGUP","EGUP links early-universe GUP to late-universe EUP in quintessence holes"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"The EGUP, GUP and EUP can be inserted directly into the thermodynamic relations without additional consistency conditions or back-reaction terms.","fun_headline_variants_meta":{"raw":{"variants":["EGUP modifies KNBHQ temperature heat capacity and remnant mass","EGUP parameters reshape Kerr-Newman thermodynamics with quintessence","GUP to EUP shift alters black hole entropy and pressure under EGUP","EGUP links early-universe GUP to late-universe EUP in quintessence holes"]},"model":"grok-4.3","cost_usd":0.003241,"raw_usage":{"total_tokens":1713,"prompt_tokens":618,"num_sources_used":0,"completion_tokens":77,"cost_in_usd_ticks":32412000,"prompt_tokens_details":{"text_tokens":618,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":1018,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":618,"tokens_out":77,"duration_ms":9657,"temperature":1.0,"reasoning_tokens":1018,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-26T08:17:19.546350+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"A measured black-hole remnant mass or temperature that deviates from the EGUP-corrected formula by more than the observational uncertainty while matching the uncorrected Kerr-Newman-quintessence prediction would falsify the central claim.","supporting_citations":[],"review_version":1}