Financial Kinetics Model (FKM): A Unified Thermodynamic Framework for Investment Timing and Portfolio Optimization

© 2025 Rayan S. Hammad. All Rights Reserved. ORCID ID: 0009-0007-9384-4905, FKM Theory - Working Paper – Preprint: Private distribution for peer-review only. Do not redistribute, reprint, or reproduce without explicit written permission from the author. Financial Kinetics Model (FKM): A Unified Thermodynamic Framework for Investment Timing, Corporate DecisionMaking, and Portfolio Optimization Abstract: In this paper, we introduce the Financial Kinetics Model (KFM) as a non-equilibrium framework that rates investment success as a state-transition process governed by the laws of thermodynamics. First, we derive the Financial Arrhenius Equation (FAE) from the Fokker-Planck equation to establish that the rate of capital deployment (κ) is based on the relationship between the idiosyncratic activation energy (Erisk), and the systemic market temperature (Tmkt). Second, we demonstrate that market liquidity responses to interest rate decisions are governed by Le Chatelier's Principle, which states that if a dynamic equilibrium is disturbed by changes in conditions (e.g., concentration, temperature...), the position of the equilibrium shifts to counteract the change that takes place and establish a new equilibrium. We performed empirical validation across eight global financial crises to demonstrate FKM's ability to provide superior diagnostics for market regime shifts compared to traditional static equilibrium models. 1. Introduction Classical models (e.g., CAPM and Black-Scholes) remain foundational in modern finance. Yet, they rely on simplifying assumptions, such as constant parameters, market equilibrium, and limited path dependence, which limit their ability to model real-world dynamics fully. Liquidity, volatility, and information flow are constantly evolving, suggesting that significant limitations in stochastic assumptions (e.g., constant volatility) could lead to an underestimation of risks of tail events or regime shifts. As a result, successful investment or corporate decisions require the alignment of multiple state variables at the right moment, much like a chemical reaction, which proceeds only when temperature, concentration, and catalysts have reached a certain level. In the financial market, capital deployment and risk management must be aligned precisely to © 2025 Rayan S. Hammad. All Rights Reserved. ORCID ID: 0009-0007-9384-4905, FKM Theory - Working Paper – Preprint: Private distribution for peer-review only. Do not redistribute, reprint, or reproduce without explicit written permission from the author. overcome the activation energy barrier. Miscalculations in timing or magnitude can turn a sound investment into a losing one. Hence, fails to account for the velocity of capital deployment, the rate at which an investment commits to yield returns, very much like taking a blurred picture of a speeding train. To address this gap, we introduce the Financial Kinetics Model (FKM), a non-equilibrium framework inspired by thermodynamic and kinetic principles. In FKM, successful investment outcomes are modeled as a state-transition process in which profit activation occurs only when accumulated systemic energy, generated by variables such as liquidity, volatility, information flow, and market sentiment, exceeds an activation threshold (i.e., regulatory requirements, interest rates, or WACC). This framework offers a promising mathematical approach to improving timing and risk management in perpetually non-equilibrium markets, potentially capturing real-world dynamics more effectively than equilibrium-based models. © 2025 Rayan S. Hammad. All Rights Reserved. ORCID ID: 0009-0007-9384-4905, FKM Theory - Working Paper – Preprint: Private distribution for peer-review only. Do not redistribute, reprint, or reproduce without explicit written permission from the author. © 2025 Rayan S. Hammad. All Rights Reserved. ORCID ID: 0009-0007-9384-4905, FKM Theory - Working Paper – Preprint: Private distribution for peer-review only. Do not redistribute, reprint, or reproduce without explicit written permission from the author. © 2025 Rayan S. Hammad. All Rights Reserved. ORCID ID: 0009-0007-9384-4905, FKM Theory - Working Paper – Preprint: Private distribution for peer-review only. Do not redistribute, reprint, or reproduce without explicit written permission from the author. Experimental code © 2025 Rayan S. Hammad. All Rights Reserved. ORCID ID: 0009-0007-9384-4905, FKM Theory - Working Paper – Preprint: Private distribution for peer-review only. Do not redistribute, reprint, or reproduce without explicit written permission from the author. © 2025 Rayan S. Hammad. All Rights Reserved. ORCID ID: 0009-0007-9384-4905, FKM Theory - Working Paper – Preprint: Private distribution for peer-review only. Do not redistribute, reprint, or reproduce without explicit written permission from the author. © 2025 Rayan S. Hammad. All Rights Reserved. ORCID ID: 0009-0007-9384-4905, FKM Theory - Working Paper – Preprint: Private distribution for peer-review only. Do not redistribute, reprint, or reproduce without explicit written permission from the author. © 2025 Rayan S. Hammad. All Rights Reserved. ORCID ID: 0009-0007-9384-4905, FKM Theory - Working Paper – Preprint: Private distribution for peer-review only. Do not redistribute, reprint, or reproduce without explicit written permission from the author.