Author Archives: John F. Lindner

About John F. Lindner

John F. Lindner was born in Sleepy Hollow, New York, and educated at the University of Vermont and Caltech. He is an emeritus professor of physics and astronomy at The College of Wooster and a visiting professor at North Carolina State University. He has enjoyed multiple yearlong sabbaticals at Georgia Tech, University of Portland, University of Hawai'i, and NCSU. His research interests include nonlinear dynamics, celestial mechanics, and neural networks.

Archimedes & Euler

Consider a complex function that is its own derivative normalized to one at zero. Its Taylor series expansion [latex display=”true”]f(z) = \sum_{n=0}^\infty \frac{f^{(n)}(0)}{n!} z^n,[/latex] where [latex]z = x + i y \in \mathbb{C}[/latex] … Continue reading

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Free-Fall Spinning Tunnels

Jump into an evacuated hole drilled straight through a uniform, static Earth-like sphere. Accelerate to 7.9 km/s (or 18 000 m.p.h.) at the center, then decelerate back to zero at the antipodes 42 minutes later! Step out of the hole upside … Conti… Continue reading

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Geographic Tongue

The improbable email was from a pre-dental math major asking about physics research projects combining math and dentistry, but my reaction was, “Yes — only at Wooster!”. Like animated tattoos, the surface patterns of benign migratory … Continue reading

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Mars Sky Crane

At the NASA press conference today, chief engineer Adam Steltzner presented three iconic images of the space age: Armstrong’s photo of Aldrin on the lunar surface, Voyager 1’s photo of Saturn and its rings from above the ecliptic, the Hubble … Co… Continue reading

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Nightfall

NASA’s transiting Exoplanet Survey Satellite (TESS) has discovered a sextuply-eclipsing sextuple star system. I thought of “Nightfall”. The six stars of TCY 7037-89-I orbit each other in three binary pairs, as in the schematic. The pr… Continue reading

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Chemical Clock

Wooster’s summer 2019 Sherman-Fairchild group just published, “Disruption and recovery of reaction–diffusion wavefronts interacting with concave, fractal, and soft obstacles”, in Physica A. Working with Fish Yu ’21, Chase Fuller… Continue reading

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Dragon Eye

“Resilience rises! Not even gravity contains humanity when we explore as one for all.” My eyes were glued to NASA-TV last weekend as I followed the flight of the SpaceX Dragon “Resilience” to the International Space Station. Fer… Continue reading

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Novel Math, Nobel Physics

When I was a kid I used to read Scientific American at the local library. I loved Martin Gardner‘s Mathematical Games column, and I vividly remember his description of Roger Penrose‘s then recent discovery of two shapes  that force a &#8230… Continue reading

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Cookie Cutter

Cookie dough in a cookie factory moves on a conveyor belt at a constant relativistic speed. A circular cutter stamps out cookies as the dough rushes by beneath it. In the factory frame, the dough is length contracted along the … Continue reading … Continue reading

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Flying Silo

Yesterday, SpaceX successfully flew a full-sized Starship tank-section prototype at its launch facility in Boca Chica, Texas. Standing thirty meters tall without its nosecone, weighing one to two hundred tons with methalox propellant, and made from sta… Continue reading

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