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Coherent Ordering Dynamics and the Universal Predictive Algebra: A Multivariable Sensitivity Framework with Empirical EEG Validation and Control-Field Dynamics --- ABSTRACT / DESCRIPTION We present Coherent Ordering Dynamics (COD), a framework describing how structured outcomes emerge in complex systems through the interaction of activation, sensitivity, constraints, and stochastic realization. Building on a nonlinear master equation, we define an effective observable and its Jacobian sensitivity, demonstrating that maximal responsiveness occurs in an intermediate regime rather than at system extremes. Using meditation EEG data (ds001787), we empirically validate this prediction, identifying a consistent sensitivity peak and showing that the system's optimal regime forms a saddle manifold in multivariable space. Temporal analysis reveals structured low-frequency modes, while control-field dynamics—modeled through breath-like oscillatory proxies—demonstrate that the system's optimal state is not fixed but dynamically tunable. We formalize these findings into the Universal Predictive Algebra (UPA), expressed as an outcome functional integrating four universal components: activation (gate), sensitivity (Jacobian), constraint (inverse friction), and probabilistic realization. This formulation provides a general predictive grammar applicable across physical, biological, and computational systems. Extensive diagnostics, normalization procedures, failure modes, and falsifiability criteria are included to ensure reproducibility and scrutiny robustness. Results indicate that high-sensitivity regimes are rare, structured, and dynamically navigable, supporting a view of prediction as alignment within a constrained state space rather than deterministic computation. This work establishes a unified mathematical and empirical framework for understanding how complex systems organize, respond, and evolve under internal dynamics and external control fields.
2026 · Zenodo (CERN European Organization for Nuclear Research) · Thomas, Trumble, Raymond
2026
Responsibility in the era of digital innovation: temporal dynamics and evolving paradigms
2026 · Edward Elgar Publishing eBooks · O’Reilly, Katie, McCarthy, Stephen, Rowan, Wendy
2026
Capturing Knowledge Dynamics in the Evolving Knowledge Space Graph Using Temporal Relations and Knowledge Aging
2025 · Acta Marisiensis Seria Technologica · Csépányi-Fürjes, László, Kovács, László
2025
Automation to Autonomy: Temporal Dynamics of Trust and Visual Attention Allocation Did Not Evolve
2025 · Research Square · Sato, T, Chancey, Eric T., Yamani, Yusuke
2025
Understanding Evolving Sentiment Dynamics in Indonesian Disaster-Related Tweets using IndoBERT and Temporal Analysis
2025 · Marcello, Nico Valerian, Su, Frederick Nicholas, Lucky, Henry et al.
2025
Temporal Dynamics of Vaccination Decision-Making: How Trust and Risk Perception Evolved During COVID-19 in Germany
2025 · COVID · Herbig, Lisa, Wagoner, Brady
2025
Analysing Spatio-temporal Dynamics of Urban Sprawl, Evolving Pattern of Urban Landscape and Driving Forces of Urban Growth: A Case of Varanasi Planning Region, India
2024 · Journal of Asian and African Studies · Dutta, Ratnadeep, Banerjee, Iman
2024
Evolving pathogen trends and spatial–temporal dynamics of hand, foot, and mouth disease in Fengxian District, Shanghai (2009–2022)
2024 · Scientific Reports · Hu, Xiaodan, Zhang, Weiyi, Yuan, Ting et al.
2024
Deep Learning Approaches for Modeling Spatio-Temporal Dynamics in Evolving Networks
2024 · TSpace · Najafi, Bahareh
2024
Modeling and Predicting Spatio-Temporal Dynamics of PM$_{2.5}$ Concentrations Through Time-Evolving Covariance Models
2023 · Statistica Sinica · Qādir, Ghulām, Sun, Ying
2023
An evolving perspective on the dynamic brain: Notes from the Brain Conference on <i>Dynamics of the brain: Temporal aspects of computation</i>
2020 · European Journal of Neuroscience · Langdon, Angela, Chaudhuri, Rishidev
2020
Decision letter for "An evolving perspective on the dynamic brain: notes from the Brain Conference on <i>Dynamics of the brain: temporal aspects of computation</i>"
2020
2020
Review for "An evolving perspective on the dynamic brain: notes from the Brain Conference on <i>Dynamics of the brain: temporal aspects of computation</i>"
2020 · Russo, Eleonora
2020
Author response for "An evolving perspective on the dynamic brain: notes from the Brain Conference on <i>Dynamics of the brain: temporal aspects of computation</i>"
2020 · Langdon, Angela, Chaudhuri, Rishidev
2020
Affective Dynamics: Causality Modeling of Temporally Evolving Perceptual and Affective Responses
2019 · IEEE Transactions on Affective Computing · Okada, Takumu, Okamoto, Shogo, Yamada, Yoji
2019
Panoramic-reconstruction temporal imaging for seamless measurements of slowly-evolved femtosecond pulse dynamics
2017 · Nature Communications · Li, Bowen, Huang, Shu‐Wei, Li, Yongnan et al.
2017
Modelling and analysis of the dynamics of adaptive temporal–causal network models for evolving social interactions
2017 · Computational Social Networks · Treur, Jan
2017
Dynamics of temporally-evolving shear layers on the interface between a porous medium and a pure fluid
2013 · Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) · Antoniadis, Panagiotis, Papalexandris, Miltiadis
2013
Inference of temporally evolving network dynamics with applications in biological systems
2011 · Chang, Young Hwan, Tomlin, Claire J.
2011
PLASMA TESTOSTERONE AND BEHAVIOR IN FREE-RANGING VERTEBRATES: EVOLVING VIEWS ON TEMPORAL DYNAMICS, CONTROL MECHANISMS, AND SIGNIFICANCE
2011 · Frontiers in Endocrinology · Pierre, Deviche
2011
How decisions evolve: The temporal dynamics of action selection
2010 · Cognition · Scherbaum, Stefan, Dshemuchadse, Maja, Fischer, Rico et al.
2010
Locality and attachedness‐based temporal social network growth dynamics analysis: A case study of evolving nanotechnology scientific collaboration networks
2010 · Journal of the American Society for Information Science and Technology · Zhang, Haizheng, Qiu, Baojun, Ivanova, K. et al.
2010
Evolving Reurbanisation? Spatio-temporal Dynamics as Exemplified by the East German City of Leipzig
2010 · Urban Studies · Kabisch, Nadja, Haase, Dagmar, Haase, Annegret
2010