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Thoughts on AI, technology, and physics and math.

The Mathematics of Quantum Computing

February 28, 2026  ·  math quantum computing

Quantum computing exploits two phenomena with no classical analog — superposition and entanglement — to perform certain calculations exponentially faster than any classical computer. The mathematics requires only linear algebra over the complex numbers, but the physical interpretation is deeply …

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The Mathematics Behind Transformers

February 28, 2026  ·  math AI deep-learning

The transformer architecture, introduced in the landmark 2017 paper Attention Is All You Need, changed how we process sequences. Unlike recurrent networks that process tokens one at a time, transformers process entire sequences in parallel using a mechanism called self-attention. …

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Quantum Electrodynamics: How Light and Matter Interact

February 28, 2026  ·  physics quantum

Quantum Electrodynamics (QED) is the quantum field theory that describes how light and matter interact. It is the most precisely tested theory in all of science — its predictions match experiment to better than one part in a trillion. QED …

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String Theory and the Multiverse: Are We One of Many Universes?

February 28, 2026  ·  physics cosmology theory

String theory is an ambitious and controversial project in the history of physics. Its central claim is deceptively simple: the fundamental constituents of nature are not point-like particles but tiny one-dimensional objects called strings. Whether those strings are open (with …

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Responsible AI: Why It Matters and What It Requires

January 28, 2026  ·  AI ethics technology

AI capabilities are advancing quickly, new ones arriving every month. With that speed comes an urgent question: how do we make sure these systems are good for people? What Does Responsible AI Mean? Responsible AI is a cluster of practices, …

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How Large Language Models Work

January 15, 2026  ·  AI technology explainer

Large language models (LLMs) like GPT-4 and Claude have become household names, but the mechanics behind them remain mysterious to most people. This post gives you an accessible picture of what's going on. It All Starts with Text At the …

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