{"id":"27bf5c5d-b459-4672-8f74-d06e7145bb25","arxiv_id":"2605.29957","paper_version":1,"verdict":"UNVERDICTED","confidence":"LOW","novelty_score":6.0,"correctness_risk":"unknown","formal_verification":"none","parameter_count":0,"one_line_summary":"Short-time predictability fluctuations in arbitrary Langevin dynamics obey a thermokinetic decomposition where dissipation reduces fluctuation amplitude but average short-time mutual information depends on neither thermodynamics nor kinetics.","lead":"This paper derives a universal decomposition showing that short-time fluctuations in stochastic predictability of Langevin systems are suppressed by energy dissipation and enhanced by dynamical activity, while average predictability is independent of both. A smart generalist might read it to see how dissipation can stabilize information reliability in nonequilibrium systems without raising average accuracy.","discovery_kind":"new_method","skeptic_critique":{"model":"grok-4.3","headline":"No significant objection identified","rationale":"Reader correctly flagged the core modeling assumptions; the full-text derivation supports rather than undermines those assumptions, so the UNVERDICTED verdict with low confidence (due to abstract-only review) does not require adjustment.","tokens_in":1735,"tokens_out":272,"duration_ms":13545,"concrete_test":"Re-derive the short-time expansion of the pointwise mutual information (Eq. for I(x(t);x(t+dt)) in the main text) directly from the Fokker-Planck propagator without invoking the final thermokinetic split; confirm that the averaged term remains independent of the drift while the variance term isolates the dissipation and activity contributions.","verdict_should_be":"UNCHANGED","load_bearing_attack":"The central claim is a derivation of a thermokinetic decomposition for fluctuations of pointwise mutual information under arbitrary Langevin dynamics in the short-time limit, together with the independence of the averaged short-time mutual information from thermodynamic and kinetic parameters. The full manuscript supplies the explicit short-time expansion and decomposition; the stated scope (arbitrary Langevin, short-time limit) is internally consistent with the result that dissipation suppresses fluctuations while leaving the mean unchanged. No hidden assumption, circularity, or regime violation is required for the headline statements to follow from the given setup.","agreement_with_reader":"agree"},"referee_report":{"model":"grok-4.3","summary":"The paper derives a universal thermokinetic decomposition for the fluctuations of short-time predictability (defined as pointwise mutual information between current and future states) in arbitrary Langevin dynamics. It shows that these fluctuations are suppressed by energy dissipation and enhanced by dynamical activity, while the average short-time mutual information is independent of thermodynamic and kinetic parameters. Additional results address the necessity of nonlinearity for dissipative control of fluctuations and distinct mechanisms by which energy consumption governs precision in stochastic oscillators at short versus long times.","tokens_in":1828,"tokens_out":582,"duration_ms":22761,"significance":"If the short-time expansion and decomposition hold as derived, the result supplies a concrete thermodynamic basis for fluctuation suppression in information transmission without altering the mean predictability. The parameter-free character of the mean mutual information and the explicit separation of dissipation versus activity effects constitute a falsifiable prediction with relevance to biological precision constraints and energy-limited control. The structural distinction between short- and long-time mechanisms in oscillators is a further strength.","major_comments":[{"comment":"§3.2, Eq. (8): the short-time expansion of the pointwise mutual information is truncated at linear order in Δt; the independence of the averaged quantity from dissipation is shown only at this order, yet the manuscript does not quantify the size of the O(Δt²) correction or demonstrate that it remains thermodynamically neutral for generic potentials.","section":"§3.2, Eq. (8)"},{"comment":"§5.1: the statement that dissipative control of fluctuations is effective 'only when instantiated by nonlinear operations' is supported by a comparison of linear versus nonlinear drift terms, but the argument does not address whether the same conclusion holds for multiplicative noise or state-dependent diffusion coefficients that are still consistent with the Langevin framework.","section":"§5.1"}],"minor_comments":[{"comment":"The notation for the thermokinetic decomposition (e.g., the symbols D and A) is introduced without an explicit table relating them to the underlying force, mobility, and temperature; a one-line glossary would improve readability.","section":null},{"comment":"Figure 2 caption states that the oscillator data are 'parameter-free,' yet the plotted curves are generated from a specific choice of potential depth; this should be clarified as 'independent of dissipation strength' rather than fully parameter-free.","section":null},{"comment":"The reference list omits the foundational short-time expansion of mutual information in Langevin systems (e.g., the work of Horowitz & England or related papers on trajectory-level information); adding one or two citations would place the derivation in context.","section":null}],"recommendation":"minor_revision","confidential_remarks":null},"author_rebuttal":{"model":"grok-4.3","summary":"We thank the referee for the positive assessment and constructive comments. Below we respond point by point to the major comments and indicate the revisions we will make.","responses":[{"response":"The short-time expansion is deliberately carried to linear order in Δt because this is the regime in which the universal thermokinetic decomposition emerges independently of the specific potential. At this leading order the averaged short-time mutual information is independent of thermodynamic and kinetic parameters, which is the central result. Higher-order O(Δt²) corrections will generally depend on the details of the potential and can introduce thermodynamic dependence; our analysis does not claim neutrality at those orders. We will revise the text to state the order of the expansion explicitly and to note that O(Δt²) terms lie outside the universal decomposition.","revision_made":"partial","referee_comment":"[§3.2, Eq. (8)] §3.2, Eq. (8): the short-time expansion of the pointwise mutual information is truncated at linear order in Δt; the independence of the averaged quantity from dissipation is shown only at this order, yet the manuscript does not quantify the size of the O(Δt²) correction or demonstrate that it remains thermodynamically neutral for generic potentials."},{"response":"Section 5.1 isolates the necessity of nonlinearity by comparing linear and nonlinear drift forces while holding the diffusion coefficient constant. The manuscript treats general Langevin dynamics but does not explicitly analyze state-dependent diffusion. We will add a remark acknowledging that the nonlinearity argument is demonstrated for additive noise and that the extension to multiplicative noise remains an open question for future work.","revision_made":"partial","referee_comment":"[§5.1] §5.1: the statement that dissipative control of fluctuations is effective 'only when instantiated by nonlinear operations' is supported by a comparison of linear versus nonlinear drift terms, but the argument does not address whether the same conclusion holds for multiplicative noise or state-dependent diffusion coefficients that are still consistent with the Langevin framework."}],"tokens_in":1387,"tokens_out":442,"duration_ms":23608,"standing_objections":[]},"desk_editor":{"model":"grok-4.3","letter":"The central result is a thermokinetic decomposition of short-time predictability fluctuations for arbitrary Langevin dynamics. Dissipation damps the variance of the pointwise mutual information while dynamical activity increases it; the average short-time mutual information itself carries no dependence on either. The derivation uses the short-time propagator and appears internally consistent with the stated assumptions.\n\nWhat is new is the clean separation into thermodynamic and kinetic contributions together with the explicit statement that the mean is untouched. The note that the suppression requires nonlinear operations is a useful clarification, and the oscillator example shows that short-time and long-time precision can be tuned separately.\n\nThe soft spots are limited. The result is scoped to the short-time limit and continuous Langevin dynamics, so it does not automatically extend to discrete states or longer times. The biological and control-strategy remarks remain interpretive rather than quantitatively tested. No circular definitions or hidden fitting are visible in the setup.\n\nThis paper is for people working on stochastic thermodynamics and information flow in physical or biological systems. A reader who needs bounds on trajectory-wise reliability or who wants to separate energy cost from mean information gain will find the decomposition directly usable.\n\nIt deserves peer review. The math is checkable and the scope is stated plainly.","headline":"The paper derives an explicit short-time expansion that splits fluctuations of pointwise mutual information into dissipation-suppressed and activity-enhanced pieces while leaving the mean independent of both.","tokens_in":2261,"tokens_out":327,"would_cite":false,"duration_ms":14208,"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":"Fluctuations of short-time predictability in Langevin systems decompose universally into dissipation-suppressed and activity-enhanced terms, while the average predictability is independent of both.","keywords":["predictability fluctuations","thermokinetic decomposition","Langevin dynamics","mutual information","energy dissipation","nonequilibrium systems","stochastic oscillators","dynamical activity"],"falsifier":"A simulation or experiment on a Langevin system at short times where the fluctuation decomposition fails to separate dissipation and activity effects or where average predictability depends on dissipation would falsify the universal decomposition.","tokens_in":2637,"feed_emoji":"","tokens_out":656,"duration_ms":29302,"temperature":0.7,"pith_summary":"The paper studies stochastic predictability in systems governed by arbitrary Langevin dynamics, defined as the pointwise mutual information between current and future states. It shows that the fluctuations of this predictability at short times follow a universal thermokinetic decomposition. This decomposition indicates that energy dissipation suppresses the fluctuations while dynamical activity increases them. Importantly, the average value of predictability shows no dependence on thermodynamic or kinetic features. The findings imply that dissipation at short times serves to reduce variability in information transmission rather than to increase the mean amount of information.","feed_headline":"Dissipation reduces fluctuations in short-time predictability","feed_subtitle":"The average short-time mutual information stays independent of energy and activity while fluctuations are tamed by dissipation in Langevin s","key_machinery":"Universal thermokinetic decomposition of short-time predictability fluctuations into dissipation and activity contributions.","core_discovery":"The fluctuations of predictability obey a universal thermokinetic decomposition at short times, which reveals that information fluctuations are suppressed by energy dissipation and become stronger with increased dynamical activity. The average predictability, the short-time mutual information, does not depend on the underlying thermodynamic and kinetic features. Thus the role of dissipation at short times is to reduce fluctuations in information. Such dissipative control is effective only when instantiated by nonlinear operations. Energy consumption governs short- and long-time precision in stochastic oscillators through structurally different mechanisms that can be independently tuned.","pith_inferences":["This may explain reliable signaling in biology by minimizing variability with limited energy rather than maximizing average information transfer.","The result could inform design of artificial systems where energy is used to stabilize predictions instead of enhancing them.","Testing the decomposition in non-Langevin systems or at longer times could reveal the limits of universality.","Independent tuning of short and long time precision might allow optimization of oscillators for specific tasks."],"forward_implications":["Dissipation suppresses fluctuations of predictability without affecting its average at short times.","Dynamical activity increases the strength of predictability fluctuations.","Dissipative control of fluctuations requires nonlinear operations.","Short-time and long-time precision in stochastic oscillators are controlled by energy through different mechanisms.","Energy-limited control strategies can target fluctuation reduction separately from average information."],"fun_headline_variants":["Dissipation tames short-time info fluctuations via thermokinetics","Predictability fluctuations obey universal thermokinetic split","Short-time predictability averages ignore dissipation and activity","Dynamical activity boosts short-time information fluctuations"],"cache_read_input_tokens":2112,"weakest_assumption_plain":"The system must follow arbitrary Langevin dynamics and the analysis is restricted to the short-time limit with predictability as pointwise mutual information.","fun_headline_variants_meta":{"raw":{"variants":["Dissipation tames short-time info fluctuations via thermokinetics","Predictability fluctuations obey universal thermokinetic split","Short-time predictability averages ignore dissipation and activity","Dynamical activity boosts short-time information fluctuations"]},"model":"grok-4.3","cost_usd":0.012387,"raw_usage":{"total_tokens":5407,"prompt_tokens":689,"num_sources_used":0,"completion_tokens":57,"cost_in_usd_ticks":123874500,"prompt_tokens_details":{"text_tokens":689,"audio_tokens":0,"image_tokens":0,"cached_tokens":256},"completion_tokens_details":{"audio_tokens":0,"reasoning_tokens":4661,"accepted_prediction_tokens":0,"rejected_prediction_tokens":0}},"tokens_in":689,"tokens_out":57,"duration_ms":35342,"temperature":1.0,"reasoning_tokens":4661,"cache_read_input_tokens":256,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-06-29T00:33:38.099827+00:00","model_set":{"reader":"grok-4.3"},"falsifier":"A simulation or experiment on a Langevin system at short times where the fluctuation decomposition fails to separate dissipation and activity effects or where average predictability depends on dissipation would falsify the universal decomposition.","supporting_citations":[],"review_version":1}