Paul Balduf#paperOfTheDay is "Minimal Model Explanations" from 2014. This article is about #philosophy of #science , which is not my area of expertise, so my reading might well be inaccurate.
From a #physics point of view, the authors discuss the philosophical underpinning of the phenomenon of universality that is well known in statistical physics: Many different physical systems behave in the same way near a phase transition when the variables and functions are appropriately identified. Famously, the Ising model (which describes binary spin variables on a cubic lattice) becomes equivalent to the quartic-interacting scalar continuum field theory, in the sense that their large-scale behaviour near the critical point is the same. Other examples include fluid dynamics: Different fluids have different shapes of molecules which can behave in complicated different ways, yet most of them obey the same form of continuum equations (Navier-Stokes equation) with merely different numerical coefficients.
The present paper asks the question what makes a model "good". The classical philosophical perspective is that the model faithfully represents key behaviour and causal relations in the system in question, and becomes better when this correspondence is more accurate. But this framework fails for "minimal models" such as the Ising model: They are NOT actually a good description of quartic field theory. The #renormalization group theory provides an answer: A minimal model is good if it lies in the same universality class, AND it is possible to identify precisely which properties (such as symmetries etc.) are crucial for class, without putting in an a priori assumption about importance of features.
https://www.cambridge.org/core/journals/philosophy-of-science/article/minimal-model-explanations/640580F4EA5571EA1AA971C5DC063FA6
From a #physics point of view, the authors discuss the philosophical underpinning of the phenomenon of universality that is well known in statistical physics: Many different physical systems behave in the same way near a phase transition when the variables and functions are appropriately identified. Famously, the Ising model (which describes binary spin variables on a cubic lattice) becomes equivalent to the quartic-interacting scalar continuum field theory, in the sense that their large-scale behaviour near the critical point is the same. Other examples include fluid dynamics: Different fluids have different shapes of molecules which can behave in complicated different ways, yet most of them obey the same form of continuum equations (Navier-Stokes equation) with merely different numerical coefficients.
The present paper asks the question what makes a model "good". The classical philosophical perspective is that the model faithfully represents key behaviour and causal relations in the system in question, and becomes better when this correspondence is more accurate. But this framework fails for "minimal models" such as the Ising model: They are NOT actually a good description of quartic field theory. The #renormalization group theory provides an answer: A minimal model is good if it lies in the same universality class, AND it is possible to identify precisely which properties (such as symmetries etc.) are crucial for class, without putting in an a priori assumption about importance of features.
https://www.cambridge.org/core/journals/philosophy-of-science/article/minimal-model-explanations/640580F4EA5571EA1AA971C5DC063FA6
