NSQ Project: Preliminary Analyses of 38 and 100 Systems and Protocol for Future Full Cross-Domain Study
Year: 2026
Type: preprint
Abstract: This record contains three initial NSQ documents, prepared in chronological order: 1. NSQ 38-System Preliminary Analysis2. NSQ 100-System Preliminary Analysis3. NSQ Protocol for the Future Full Study The 38-system and 100-system documents are preliminary pilot or scoping analyses and are not full implementations of the protocol. The third document, the NSQ Protocol, has been prepared for a future complete cross-domain study and has not yet been executed. The protocol includes a taxonomy of 24 system domains, a stratified sampling design, a 20-question observation template free of theoretical presuppositions, a data representation scheme, a hypothesis-free analysis pipeline, classification criteria for discovered features, validation procedures, and an independent replication protocol. The full study according to the attached protocol has not yet been conducted. This collection is shared for open peer review, replication, and reuse. Results of the Preliminary Analyses Results of the 38-System Preliminary Analysis In the "Key Quantities" column across all 38 systems, only two common quantities were found: - Structural flux (Φ_struct): the rate of flow or conversion of matter, energy, or information that provides the capacity to create, maintain, and change a system. - Structural entropy (S_struct): a measure of the order, complexity, diversity, and information content of a system's arrangement. The common stability condition across all systems was the principle of dynamic structural equilibrium: dS_struct/dt = Π - Φ_S = 0 where: - S_struct: structural entropy- Π: rate of internal structural entropy production- Φ_S: rate of entropy export to the environment No third quantity was found in the "Key Quantities" column across all 38 systems. Quantities such as mass, space, time, or angular momentum were removed because they were not present in abstract systems such as language, culture, mathematics, love, and nostalgia. With increasing complexity, structural entropy increased in all 38 systems, and structural flux also increased in most systems. Results of the 100-System Preliminary Analysis Initially, five common features were observed across all 100 systems: 1. Emergence from a threshold or heterogeneity2. Persistence through flow and feedback3. Inherent changeability with internal and external drivers4. Collapse upon crossing critical thresholds5. Increase of a key quantity with greater complexity These five features were then reduced to the same two fundamental quantities: - Structural flux (J): the flow of matter, energy, or information. - Active organization / structural entropy (Ψ): a measure of structural order, differentiation, and coherence. On this basis, the Standard Model of NSQ was formulated as: dΨ/dt = -∂V(Ψ; J)/∂Ψ + σ ξ(t) where: - Ψ: order parameter / active organization- J: structural flux- V(Ψ; J): effective structural potential- σ: intensity of noise or random fluctuations- ξ(t): time-dependent noise or random fluctuation- t: time The effective potential was written as: V(Ψ; J) = - (a/2)(J - J_c) Ψ² + (b/4) Ψ⁴ where: - a, b > 0: positive context-dependent coefficients- J_c: critical flux for the emergence of structure The stability condition was expressed as the flux window: J_min < J < J_max where: - J_min: minimum flux required for structural maintenance- J_max: maximum tolerable flux before collapse Final Summary The summary of the NSQ project up to this stage is: Two quantities + one principle - Two quantities: structural flux and structural entropy- One principle: stability depends on dynamic equilibrium and on the flux remaining within an allowed window This framework forms the basis of the protocol for the future full study, in which it is intended to be tested through broader sampling and independent validation.
Authors: jalali, mahdi, jalali, sediqeh, jalali, pooya
Institution: Payame Noor University
Language: English
Topic: Complex Systems and Dynamics
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203971510