Wave Liquidity Redistribution Theory (WLRT) v3.0

This record represents a metadata and abstract update of the canonical WLRT v3.0 monograph. No changes have been made to the underlying theoretical content. For the canonical version, refer to the original WLRT v3.0 publication (March 15, 2026). Wave Liquidity Redistribution Theory (WLRT) is a theoretical and engineering framework that models financial markets as dynamic systems of liquidity redistribution in price space. Within WLRT, liquidity is treated as the fundamental state variable, while price is considered a secondary observable emerging from the structure and evolution of the liquidity field. The framework is asset-agnostic and applies to a wide range of market environments, including equity, derivatives, and cryptocurrency markets. WLRT is not a trading strategy and does not directly prescribe specific actions (such as entry, exit, or capital allocation). This does not imply lack of practical applicability. Instead, WLRT provides a structural diagnostic and constraint-based framework that:— identifies admissible and inadmissible market states,— detects fragility and instability,— defines the boundaries of possible system evolution. Based on WLRT, a range of applied systems, diagnostic tools, and execution frameworks have been developed and continue to evolve. These systems operate within the structural constraints defined by WLRT and demonstrate its practical relevance for real-world decision-making and system design. WLRT includes a formal mathematical layer comprising:— definitions of liquidity fields,— structural invariants,— diagnostic operators (including the Local Fragility Index, LFI),— conditions for phase transitions and regime shifts. The mathematical formalization is actively developed and extends beyond purely empirical description. In this sense, WLRT is not an execution system; it is a system that defines what execution is possible. Wave Liquidity Redistribution Theory (WLRT) proposes a structural framework for analyzing the dynamics of liquidity environments in financial systems. Unlike traditional market models, in which the primary object of analysis is price or the behavior of market participants, WLRT treats the market as an environment of liquidity redistribution. Within this framework, price is interpreted as an observable projection of structural changes occurring within the environment. The theory introduces an analytical architecture that includes the state space of the environment, its phase structure, the parameter of phase time, the regime layer of dynamics, indicators of structural fragility, and mechanisms of liquidity redistribution. This structure makes it possible to analyze the evolution of financial systems as a sequence of structural transformations of the environment. The work also introduces diagnostic instruments for assessing the stability of the liquidity environment, including the Local Fragility Index (LFI) and the Systemic Liquidity Fragility Index (sLFI). These indicators make it possible to identify the accumulation of structural fragility and to assess the probability of phase transitions. The proposed architecture integrates the phase dynamics of the environment, regime processes, cascade mechanisms of liquidity redistribution, and the post-phase dynamics of the system described through the Structural Recovery Window. Thus, WLRT provides a coherent theoretical framework for the analysis of the structural dynamics of financial systems. The application of WLRT to liquidity environments enables: — identification of structural boundaries between market phases,— early detection of systemic fragility and emerging crisis conditions,— recognition of post-crisis recovery phases and transition to new growth regimes. These capabilities arise from the analysis of liquidity redistribution dynamics and are formalized through diagnostic constructs such as the Local Fragility Index (LFI) and related structural indicators. Interpretation and applied scope of WLRT are further developed in: Popov, P. (2026). WLRT: Scope, Capabilities, and Interpretation.https://doi.org/10.5281/zenodo.19235562 Related work: Popov, P. (2026). Foundations of WLRT: Laws of Liquidity, Fragility, and Stability.https://doi.org/10.5281/zenodo.19246773 Popov, P. (2026). Liquidity Topology in WLRT: Structure, Constraints, and System Behavior. https://doi.org/10.5281/zenodo.19250527 Popov, P. (2026). Liquidity Environment Architecture (LEA): A Research Program Based on WLRT. https://doi.org/10.5281/zenodo.19253298 Popov, P. (2026). Structural Encoding of Liquidity in WLRT: Discrete Configurations and Transition Representation. https://doi.org/10.5281/zenodo.19254374 Popov, P. (2026). WLRT Diagnostic Framework: Structural Identification of System States and Transitionshttps://doi.org/10.5281/zenodo.19254922 This update introduces cross-references to related WLRT works for improved navigation and structural context.