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May 6, 20260 citationsOpen Access

Thermonance: A Theoretical Framework for Entropy-Based Early Warning in Financial Markets

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HKHikmat KarimovRARahid Alekberli

Key Points

  • This paper aims to introduce a theoretical framework that applies a seismological early warning model to financial market conditions.
  • Defined financial Causal Entropic Response (fCer) using order-flow imbalance entropy, volume entropy, and bid-ask spread entropy.
  • Conducted enhanced Monte Carlo simulation with 2,190 trading-day equivalents and 15 crash events over three severity levels.
  • Derived two formulations of fCer for theoretical analysis and practical application.
  • Achieved AUC = 0.96 for simplified fCer and AUC = 0.79 for derivative-based full fCer at a 25-day lead time.
  • Results confirm mathematical self-consistency through simulations but do not establish predictive validity for real markets.

Abstract

This position paper introduces thermonance a theoretical programme that transplants the Karimov-Alekberli (KA) seismological early-warning framework 12, 13 into nancial market microstructure. The KA model detects critical transitions in stressed physical systems by tracking the Causal Entropic Response (CER): the rate at which system entropy deviates from its historical baseline. We formally dene a nancial analogue the nancial CER (fCer) in terms of order-ow imbalance entropy, volume entropy, and bidask spread entropy, and derive the structural isomorphism from seismological to nancial variables. To illustrate the framework's internal consistency prior to empirical validation, we present an enhanced Monte Carlo simulation (N = 2,190 trading-day equivalent periods; 15 injected crash events across three severity levels). The simulation yields AUC = 0.96 (simplied fCer) and AUC = 0.79 (derivative-based full fCer) at a 25 day lead time. We are explicit throughout that these gures are simulation results, not empirical ndings; they demonstrate mathematical self-consistency, not predictive validity on real markets. We discuss two formulations of fCer a simplied level-based approximation suitable for theoretical analysis and a derivative-based full formulation consistent with the original KA denition and recommend an adaptive exponential-decay baseline (λ-EWMA) in place of a xed rolling window. The theoretical framework is applied to three asset classes (cryptocurrencies, foreign exchange, equity indices). An empirical research agenda in three stages is outlined.

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Cite This Study

Karimov et al. (2026) studied this question.

synapsesocial.com/papers/69fadb0b03f892aec9b1e91fhttps://doi.org/10.5281/zenodo.20028855
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