Skip to content
Open access

Interdisciplinarity as a centripetal force: physics-based methods for complex systems to artificial intelligence

Aug 2026 · Frontiers of Physics · 1 citation · 36 references

TL;DR

Artificial intelligence, integrated within physics-informed computational frameworks, provides a powerful tool for analyzing complex, high-dimensional, and heterogeneous datasets while preserving the dynamical structure of the underlying system.

Abstract

Analytical tools derived from nonlinear dynamics and dynamical systems theory, such as phase-space reconstruction and Recurrence Quantification Analysis (RQA), provide a powerful framework for investigating complex systems across different scientific domains. These methods allow the identification of dynamical structures, including recurrence, nonlinearity, and transitions between states, in time series data originating from diverse contexts. Scientific research is often shaped by two opposing forces that resemble the dynamics of physics: a centrifugal force, associated with increasing specialization, and a centripetal force, associated with interdisciplinarity. The rapid development of technologies and analytical methods has led to highly specialized languages and frameworks, which, while enabling scientific progress, can also generate fragmentation and communication barriers between disciplines. In contrast, interdisciplinarity emerges as a centripetal force that promotes the identification of shared analytical frameworks across domains. In this context, the transfer of methods is not merely a consequence of mathematical convenience but reflects the presence of common dynamical properties governed by similar physical principles. Artificial intelligence, integrated within physics-informed computational frameworks, provides a powerful tool for analyzing complex, high-dimensional, and heterogeneous datasets while preserving the dynamical structure of the underlying system. This convergence is not merely technical: the same nonlinear dynamical principles that govern physiological and cognitive systems appear to operate within artificial ones, suggesting that AI is not external to the phenomena this manuscript addresses but continuous with them. This inherent interdisciplinarity positions AI as a centripetal force, drawing together methods, languages, and findings from otherwise distant disciplines around a shared dynamical core.

Read PDF

Similar papers

Open access Jul 2026

Equilibrium and stability of coupled nonlinear energy-storing components.

Coupled systems of nonlinear components occur across physics and engineering and can display rich behaviors such as multistability, snap-through, and memory. These phenomena play a key role in physical intelligence, where functional behavior emerges from structure rather than algorithmic control. Yet, predicting the eq...

F. P. Piñan Basualdo, B. Gorissen · 1 citation
Review Jul 2026

Data-Driven Formal Methods for Complex Dynamical Systems: A Survey

A comprehensive overview of data-driven methods for both deterministic and stochastic dynamical systems, highlighting the inherent differences and challenges that arise compared to the deterministic case.

Behrad Samari, Alessandro Abate, A. Girard et al. · 0 citations
Review Aug 2026

Topology as a language for emergent organization in complex systems: Multiscale structure, higher-order interactions, and structural diagnostics.

Complex systems are difficult to study not only because they are nonlinear, multiscale, and nonstationary, but because their scientifically relevant organization is often distributed across components, relations, and interaction orders. Topology provides a mathematical language for describing that organization through...

Mark M. Bailey · 0 citations
Open access Aug 2026

Algebra vitae: a manifesto for the new mathematics of biology

This paper formulates the problem of developing a mathematical language intrinsically suited to the historicity and organized complexity of living systems. The challenge lies not in the insufficient expressive power of modern mathematics, but in its underlying ontological assumptions. The mathematical framework develop...

S. Kozyrev · 0 citations
Review Open access Sep 2026

Coupled Dynamics Between Networks and Fields in Physical Space: A Theoretical Perspective

Many complex systems cannot be understood from network structure alone, nor from continuum descriptions in isolation, because their dynamics emerge from the reciprocal coupling between discrete interaction architectures and spatially extended physical fields. This perspective article surveys mathematical and computat...

A. Arenas, Oriol Artime, Albert Díaz-Guilera et al. · 0 citations
Jul 2026

Universal dynamics: a reconciliation of universal laws of nature.

This paper offers a logical and mathematical reconciliation of four known universal but otherwise disparate laws of nature: the constructal law, the 1st and 2nd laws of thermodynamics, and special relativity are unified in a single equation proposed here as a universal framework of dynamics, applicable to any system, a...

John Mullaly · 0 citations

We use cookies to run the site and, with your consent, for analytics and to show ads. See our Cookie Policy.