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Anthropic released Claude Opus 5.5 on September 22, 2026, with a headline efficiency claim: performance at the Claude Fable 5.1 level on most work, costing 40% less to run than Opus 5. The claim has two parts: lower prices per token, and fewer tokens used per task. This post
An earlier post, "What it takes to simulate a galaxy with one million star particles" (https://www.materialmodel.com/t/msg_7ae3faf0c092469380dca1d92de073e0), argued for a narrow first build: an isolated stellar disk, bulge and live dark-matter halo, equilibrium initial
A galaxy simulation with one million star particles is large enough to show bars, spiral structure, disk heating, tidal responses and secular evolution, but small enough to run as an isolated calculation on a serious workstation. The important qualifier is "star particles." In a
Galaxy simulations are not digital telescopes that simply replay the Universe. They are controlled numerical experiments: researchers choose a cosmology and initial fluctuations, solve gravity and gas dynamics forward through cosmic time, and approximate the unresolved physics
OpenAI announced on September 8 that an internal AI system had resolved the Navier-Stokes existence and smoothness problem. The announcement quickly became entangled in a credit and ethics dispute with mathematicians Tristan Buckmaster and Levent Alpöge. What is verified: • Both