Article archive
Published news and blog articles, organized by category. Browse older coverage by month or search for a topic. Undated blog guides appear after dated news.
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The Paradoxes of Infinity
From Hilbert’s hotel to Cantor’s diagonal argument: why one infinity can fit inside itself, yet still be smaller than another.
How Euler’s Identity Connects Everything
Why e^(iπ) + 1 = 0 unites growth, rotation, complex numbers, circles, and the two basic identities of arithmetic.
The Riemann Hypothesis, Explained
A map of zeta zeros, prime counting, and the million-dollar question hiding on the line Re(s) = 1/2.
How Large Language Models Are Trained
From tokenized text and next-token prediction to instruction tuning and RLHF: the data pipeline behind today’s conversational models.
The Race to AGI Has No Shared Finish Line
Why AGI timelines range from 2027 to the end of the century—and why definitions, incentives, benchmarks, and safety clocks matter more than a single forecast.
How Transformers Learn to Pay Attention
A visual guide to queries, keys, values, multi-head attention, and the architecture that replaced recurrence at the center of modern language models.
How Lidar Powers Autonomous Vehicles: Seeing With Light
Lidar fires millions of laser pulses per second and measures their return time to build a 3D point cloud — the backbone of autonomous vehicle perception.
The Technology of Nuclear Batteries: How RTGs Power Spacecraft
Radioisotope thermoelectric generators convert the heat of radioactive decay into electricity via the Seebeck effect — no moving parts, no chain reactions, decades of power.
How Quantum Sensors Work: Measuring Beyond the Classical Limit
Quantum sensors exploit superposition, entanglement, and squeezing to measure gravity, magnetism, and time with precision beyond any classical instrument.
Proteostasis: The Quality-Control Crisis Behind Neurodegeneration
Neurons age when the systems that fold, repair, recycle, and clear proteins lose reserve—and the failures start feeding each other.
Insulin Signaling and the Aging Clock
From DAF-2 worms to human HbA1c, insulin signaling is a resource-allocation system—not a single number to minimize.
Resveratrol, Red Wine, and the Longevity Dose Gap
The molecule is real, the biology is intriguing, and the wine-glass shortcut does not survive a dose-and-risk audit.
Information Theory: Shannon Entropy and the Mathematics of Surprise
From Wordle to compression, entropy measures the uncertainty a message resolves—and gives AI a language for confidence.
Linear Algebra and Why It Matters for AI
Vectors, matrices, transformations, and eigenvectors: the geometry underneath machine learning.
The Math of Neural Networks: Backpropagation
The chain rule, gradients, and the quiet bookkeeping that lets a neural network learn from error.
How Vertical Farming Works: The Controlled Root Zone
Vertical farms replace weather and soil with shelves, sensors, LEDs, and a recirculating recipe for roots — gaining control while buying a large electricity bill.
The Science of Hydrogen Fuel Cells
A fuel cell is a battery that keeps eating — but the climate story depends on how the hydrogen was made, compressed, moved, and fed to the stack.
How Electric Vehicles Work: From Battery to Motor
An electric car is not a battery with wheels. It is a fast feedback system that turns electrochemical potential into precisely metered torque — then captures some of that motion on the way back.
The Science of Sleep and Cellular Repair
The Science of Sleep and Cellular Repair | N43 N43 ANALYSIS ai · longevity science N43 ANALYSIS · ai The Science of Sleep and Cellular Repair Sleep is not biological downtime. Across the night, brain fluids move, hormones pulse, memories…
How Exercise Changes Gene Expression
How Exercise Changes Gene Expression | N43 N43 ANALYSIS ai · longevity science N43 ANALYSIS · ai How Exercise Changes Gene Expression Exercise does not rewrite your DNA sequence. It changes the operating environment around genes—through…
The Gut–Brain Axis and Longevity
The Gut–Brain Axis and Longevity | N43 N43 ANALYSIS ai · longevity science N43 ANALYSIS · ai The Gut–Brain Axis and Longevity Your gut is not a passive tube. It is an ecosystem, a chemical factory, and a neural organ whose signals may…
The Mandelbrot Set and Fractal Geometry
The deceptively simple equation z² + c that generates infinite complexity — and why mathematicians still can't fully describe its boundary
How Monte Carlo Methods Work
From nuclear weapons to Pixar rendering, the randomized algorithm that solves the unsolvable by rolling the dice millions of times
The Math of Encryption: RSA and Elliptic Curves
How prime numbers and elliptic curves protect every message you send — and why quantum computers threaten to undo it all
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