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February 2, 20260 citationsOpen Access

The Twinkle Dip: A Non-Monotonic Optimum in Thermodynamic Efficiency from Recursive Causal Structuring

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KLKhang Lui

Key Points

  • The study aims to explore the non-monotonic optimum in thermodynamic efficiency within recursively structured dissipative systems.
  • Developed the Twinkle Dip hypothesis based on recursive causal structures.
  • Validated the hypothesis using a stochastic chemical reaction network model with catalytic feedback.
  • Conducted Gillespie simulations to assess efficiency peaks at varying feedback strengths.
  • Identified a peak efficiency at a feedback strength of β=3.2.
  • Confirmed the optimum at recursive depths between 5.0 and 9.0.
  • Provided theoretical, computational, and calibration validations of the hypothesis.

Abstract

This manuscript presents the "Twinkle Dip" hypothesis: a prediction that recursively structured dissipative systems exhibit a sharp, non-monotonic optimum in thermodynamic efficiency at a critical recursive depth of DRTB≈6.5DRTB≈6.5. This optimum is derived as a topological phase transition within the Neutral Relata + Asymmetric Causation (NR+AC) ontological framework, where the Asymmetric Causation (A) field stabilizes a state of maximal causal alignment—termed "thermodynamic superconductivity." We validate this prediction through a stochastic chemical reaction network (CRN) model implementing catalytic feedback. Gillespie simulation reveals a clear efficiency (η=P/ση=P/σ) peak at a feedback strength of β=3.2β=3.2. Spectral calibration maps this physical parameter to an effective recursive depth (neffneff), confirming the predicted optimum is bracketed by dynamical regimes (neff=9.0neff=9.0 and 5.05.0). This work completes a three-part validation: theoretical derivation, computational instantiation, and metric calibration, providing a testable bridge to experimental systems in non-equilibrium physics and a quantitative model for optimal conscious states.

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Cite This Study

Khang Lui (2026) studied this question.

synapsesocial.com/papers/6980fe57c1c9540dea81056ahttps://doi.org/10.5281/zenodo.18440166
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