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  "title": "Hidden dissipation without a known architecture",
  "shortTitle": "Hidden dissipation",
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  "oneLine": "Some waiting-time laws force a positive thermodynamic cost, however many hidden states a compatible model contains.",
  "abstract": "For finite-realizable stationary two-label alternating-renewal laws, zero all-dimension dissipation cost is equivalent to hyperexponential complete dwell laws and a finite reversible exact realization. A fixed-window certificate gives a concrete lower bound above 0.017568198744; a high-variance example and deterministic error-box corollary show further uses. The equilibrium spectral restriction is inherited; the unrestricted zero-cost closure is the claimed advance. The positive optimum and statistical confidence construction remain open.",
  "datePublished": "2026-10-03",
  "dateModified": "2026-10-03",
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    "name": "Can increasing hidden architecture make exact-law dissipation cost approach zero?",
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    "entropy production",
    "hidden Markov processes",
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    "Zero cost iff hyperexponential complete dwell laws iff a finite reversible exact realization, within the stated renewal class.",
    "A fixed-window certificate proves V_infinity(P_1/20)>0.017568198744, without determining the optimum.",
    "A four-state high-variance example and a conservative deterministic observational-error bound."
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  "relatedWorks": [
    {
      "citation": "Skinner and Dunkel (2021). Estimating entropy production from waiting time distributions. Established equilibrium spectral-mixture restriction and waiting-time inference.",
      "url": "https://doi.org/10.1103/PhysRevLett.127.198101",
      "doi": "10.1103/PhysRevLett.127.198101"
    },
    {
      "citation": "Ehrich (2021). Tightest bound on hidden entropy production from partially observed dynamics. Model fitting and the hidden-dimension question.",
      "url": "https://doi.org/10.1088/1742-5468/ac150e",
      "doi": "10.1088/1742-5468/ac150e"
    },
    {
      "citation": "Nitzan, Ghosal and Bisker (2023). Universal bounds on entropy production inferred from observed statistics. Optimization using hypothesized topology and observed statistics.",
      "url": "https://doi.org/10.1103/PhysRevResearch.5.043251",
      "doi": "10.1103/PhysRevResearch.5.043251"
    },
    {
      "citation": "Tu (2008). The nonequilibrium mechanism for ultrasensitivity in a biological switch. Earlier dwell-time antecedent.",
      "url": "https://doi.org/10.1073/pnas.0804641105",
      "doi": "10.1073/pnas.0804641105"
    },
    {
      "citation": "Aznagulov (2026). Thermodynamic realizability of hidden Markov processes. Preprint supplying the exact target and zero-limit question.",
      "url": "https://arxiv.org/abs/2609.14623v1",
      "doi": "10.48550/arXiv.2609.14623"
    },
    {
      "citation": "Aznagulov (2026). The spectral cost of detecting nonequilibrium at finite temporal resolution. Related preprint using additive reversibilization.",
      "url": "https://arxiv.org/abs/2609.37205v1",
      "doi": "10.48550/arXiv.2609.37205"
    }
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