@snowboat84: This is the second part of the "When Physics Meets AI" series. The role of physics in AI can be divided into four layers: (1) The first layer is the bottommost, providing the computational skeleton—energy, entropy, and free energy are embedded into AI's training objectives. (2) The second layer is the middle layer, where physics shapes the network architecture—Hopfield's Ising energy function, CNN's translational symmetry, and renormalization group correspond to the hierarchical structure of deep networks.

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This article explores the four layers of physics' role in AI, from the bottom computational skeleton to the methodological layer, arguing that physics' methodology is migrating from the natural world to the AI domain.

This is the second part of the "When Physics Meets AI" series. The role of physics in AI can be divided into four layers: (1) The first layer is the bottommost, providing the computational skeleton—energy, entropy, and free energy are embedded into AI's training objectives. (2) The second layer is the middle layer, where physics shapes the network architecture—Hopfield's Ising energy function, CNN's translational symmetry, and renormalization group correspond to the hierarchical structure of deep networks. (3) The third layer is the analogical layer, offering a language to understand AI phenomena—physical tools like critical scaling laws, spin glasses, and metastable states are borrowed to analyze open problems in AI. (4) The fourth layer is the methodological layer, which has produced a few results that can change the paradigm of AI, with diffusion models being one example. Physics, as "the study of nature," has reached its boundary, with no experimental breakthroughs beyond the Standard Model in half a century. However, physics as a "methodology for understanding complex systems" has not failed. This methodology is now migrating from the natural world to the AI world—moving physical tools one by one and seeing which ones can take root in the new objects. Physics once asked the universe: "When countless individuals interact, what emerges as a whole?" The answers were statistical mechanics, thermodynamics, and phase transition theory. Now it asks AI the same question. No one yet knows what the answer this time will be called. But the tools to ask the question are already in hand. This is the 45th article in my series of 100 long-form original pieces in 100 days.
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This is the final installment of the When Physics Meets AI series. Physics contributes to AI at four main levels:

(1) The first and most fundamental level supplies the computational backbone—energy, entropy, and free energy are embedded into the training objectives of AI.

(2) The second, intermediate level shapes the structure of networks: Hopfield’s Ising energy function, the translational symmetry of CNNs, and the correspondence between renormalization groups and the hierarchical architecture of deep networks.

(3) The third, analogical level provides a language for understanding AI phenomena—physical tools such as critical scaling laws, spin glasses, and metastability are borrowed to analyze open problems in AI.

(4) The fourth, methodological level occasionally yields breakthroughs that can shift the AI paradigm, with diffusion models standing as one example.

Physics, as “the study of nature,” has reached its frontier—no experimental breakthrough beyond the Standard Model has emerged in half a century. But physics, as “a methodology for tackling complex systems,” has not lost its power. That methodology is now migrating from the natural world to the world of AI, moving physical tools over one by one, to see which can take root in new ground. Physics once asked the universe: “When countless individuals interact, what emerges as a whole?” The answers were statistical mechanics, thermodynamics, and phase transition theory. Now it asks the same question of AI. What the answer this time will be called, no one yet knows. But the tools for asking the question are already in hand.

This is the 45th article in my series of 100 long-form original pieces.

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