A dream about homeomorphic manifolds became a working model of Chinese calligraphy built from topology, geometry, finite-scale ink and brush dynamics.

A practical architecture that separates goals, execution, judgment and human authorization so autonomous AI systems know when they must stop.

An FE-E experiment found smoother gradients and steeper loss slopes without earlier learning, suggesting that stiffness and entropy may work better as observers than controllers.

Six questions about executive power, the courts, political opposition and whether America's legal order can withstand a second Trump presidency.

A short reflection on the East Asian attraction to decline, retreat and withdrawal at the height of success.

A narrow constitutional question raised by Josh Hawley's proposal to decouple American AI capabilities from China.

A time-travel thought experiment for asking whether twenty years of development have actually improved everyday life.

A compact framework for judging natural language by what it can describe across breadth, depth and time.

A calculus metaphor for a familiar puzzle: why someone with more knowledge can still produce work that falls short of an earlier master's.

Beyond the Fields Medal profiles: how molecular collision graphs connect Newtonian reversibility, Boltzmann entropy, cryptographic diffusion and the arrow of time.

A June 2025 reading of Iran's Hormuz threat across oil, crypto, U.S. stocks, the Fed, China's supply chains and A-shares.

Why the Swiss franc surged in 2025, what a strong currency does to Switzerland, and why I see CHF as a hedge rather than a trade.

A May 2025 analysis of Harvard's SEVP lawsuit, its constitutional arguments, and a plan to de-risk higher education beyond U.S. borders.

A blunt look at international and public education in China, the financial risks families take, and why parents matter more than the school label.

Why I started writing, what twenty years in engineering, sales and procurement taught me, and why this blog ranges across money, technology and the times.

Investing and trading use different clocks, skills and risk controls. Here is why most non-professionals need a long-term plan first.

Wealth is not the same as cash. A useful framework separates liquidity from assets, then asks whether you can earn, keep and actually use what you own.

A look at how Section 174's five-year and 15-year amortization rules changed the economics of American R&D centers in China.

Trump’s tariffs are usually read as protectionism. This essay argues that their deeper logic lies in MAGA politics, America’s debt crisis, and a possible retreat from dollar hegemony.

A mathematical thought experiment on information bottlenecks, neural networks, human cognition and the limits of using Gödel as an AI analogy.