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Model templates: transdisciplinary application and entanglement.

Tarja Knuuttila1, Andrea Loettgers1

  • 1Department of Philosophy, University of Vienna, Universitätsstraße 7, A-1010, Vienna, Australia.

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Summary
This summary is machine-generated.

This study introduces the concept of model templates, which are reusable mathematical and computational structures. Applying this concept reveals how diverse scientific fields utilize these transdisciplinary templates, highlighting template entanglement as a key feature.

Keywords:
InterdisciplinarityModel templatesModelsNetwork scienceStatistical mechanicsTemplate transferTransdisciplinarity

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Area of Science:

  • Complexity Science
  • Computational Modeling
  • Theoretical Physics
  • Network Science
  • Mathematical Biology

Background:

  • Contemporary modeling exhibits widespread use of identical mathematical equations, algorithms, and quantitative methods across disciplines.
  • The concept of model templates and their transfer has emerged to explain the cross-disciplinary application of mathematical forms and computational algorithms.

Purpose of the Study:

  • To develop a comprehensive notion of a model template, encompassing its mathematical structure, ontology, properties, conceptualizations, and research questions.
  • To analyze the application of this notion to prominent model templates: Sherrington-Kirkpatrick, scale-free networks, and Kuramoto models.
  • To reframe interdisciplinary model transfer as the application of transdisciplinary model templates and introduce the concept of template entanglement.

Main Methods:

  • Conceptual development of the 'model template' framework.
  • Application and analysis of three established model templates: Sherrington-Kirkpatrick (spin glasses), scale-free networks, and Kuramoto (synchronization).
  • Examination of interdisciplinary model transfer and the phenomenon of template entanglement.

Main Results:

  • A formal definition of a model template is established, detailing its structural and conceptual components.
  • The Sherrington-Kirkpatrick, scale-free network, and Kuramoto models are identified and analyzed as powerful, widely disseminated model templates.
  • Interdisciplinary model transfer is reinterpreted as the application of transdisciplinary model templates, with 'template entanglement' identified as a novel feature enhancing conceptual understanding.

Conclusions:

  • The study provides a robust framework for understanding the pervasive use of specific models across diverse scientific domains.
  • Model templates offer a transdisciplinary perspective, unifying seemingly disparate research areas through shared mathematical and computational structures.
  • Template entanglement is proposed as a significant, previously undiscussed aspect of template-based modeling, enriching its conceptual depth.