講義の狙いと資料の概要 — Julia言語による原子核構造計算入門

Physicists often say that if you know the Hamiltonian or Lagrangian of a system, you can predict every physical property it will ever exhibit. Why? Because these mathematical objects encode all the… | Eric Diel | 17 comments

Physicists often say that if you know the Hamiltonian or Lagrangian of a system, you can predict every physical property it will ever exhibit. Why? Because these mathematical objects encode all the information needed to generate the system’s evolution. From one perspective, the Hamiltonian is simply an energy function. From another, it’s an information algorithm—a compressed description of all possible states and the rules for how those states change. Conservation laws, symmetries, and emergent phenomena are all expressions of information invariants hidden inside the equations. Here is where a deeper implication and connection emerges: Every physical law is an information-processing rule. The Hamiltonian is just one way of writing the code of information flow in the universe. When viewed in this way the search for a “Theory of Everything” is really the search for a universal grammar of information transformations. Energy, matter, and space-time become secondary to the relationships and constraints that govern the flow of information itself. Whether you’re a physicist, engineer, or data scientist, the lesson is the same: Information isn’t just something we measure, it may be the substrate of reality. | 17 comments on LinkedIn

Learnability of Linear Port-Hamiltonian Systems

Microcanonical Hamiltonian Monte Carlo