Avery Carr
@ATCarrMath
Father, analyst, math and physics enthusiast, @uofmemphis math Alum., All my own views.
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📄 My short note is now on arXiv: Cycles of Length 4 or 8 in Graphs with Diameter 2 and Minimum Degree ≥ 3 🔗 arxiv.org/abs/2508.19302 I show that every graph with diameter 2 and minimum degree ≥ 3 contains a 4-cycle or an 8-cycle — contributing to the Erdős–Gyárfás Conjecture.
Gödel strikes at the heart of assumptions again..
Researchers have mathematically proven that the universe cannot be a computer simulation. Their paper in the Journal of Holography Applications in Physics shows that reality operates on principles beyond computation. Using Gödel’s incompleteness theorem, they argue that no…
This is inspiring..
To give context on age, Grace Hopper began computing at 38, completed the first compiler at 46, helped shape COBOL at 53, kept developing COBOL for the Navy in her 70s, retired from the Navy at 80 & then became a consultant for the Digital Equipment Corporation. v/@cooperx86
This thesis has an Erdös-Rényi kind of vibe…
I was curious to know how many times @NobelPrize laureates in physics were nominated before winning... so I wrote a little code to figure it out. Looks like the median is 17 but there is heavy tail. Incredible that Gell-Mann was nominated 129x before winning!
A New Geometry for Einstein’s Theory of Relativity | Quanta Magazine quantamagazine.org/a-new-geometry…
Besides direct proof, contrapositive, contradiction, and induction, add these
Gravitational waves were detected ~100 years after Einstein predicted them, opening a whole new era of astronomy. Now, 50 years after Hawking’s area law, we’re confirming it through these waves. Absolutely exciting times ahead.
Volume 135, Issue 11 journals.aps.org/prl/issues/135… Cover: Inspiral, merger, and ringdown for a pair of black holes, which allowed confirmation of Hawking’s area law. Data are from @LIGOWA (red) and @LIGOLA (blue) journals.aps.org/prl/issues/135…
What great quote from a legend.
"I used to feel guilty in Cambridge that I spent all day playing games, while I was supposed to be doing mathematics. Then, when I discovered surreal numbers, I realized that playing games IS mathematics." —John Horton Conway FRS (1937– 2020)
** STEPHEN HAWKING WAS RIGHT ** Using a very strong black-hole merger signal, the @LIGO-@ego_virgo-@KAGRA_PR Collaboration has shown the 2nd law of black hole mechanics, Hawking's area law (A_final > A_initial), to hold with high credibility. PRL: go.aps.org/3VarXHA #open
As a child, Hannah Cairo learned math by taking online lessons from Khan Academy. By the time she was 14, she had taught herself the equivalent of an advanced undergraduate math degree. Tune in to The Quanta Podcast: Spotify: open.spotify.com/episode/7b17NV… Apple: podcasts.apple.com/us/podcast/how…
A beautiful quote by Michael Atiyah: In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the…
Pleased to share my graduate student, Qinyuan Zheng's new research on picoHertz gravitational waves! We can now probe gravitational waves with periods of hundreds of years by looking at drifts in the pulsar parameters. ui.adsabs.harvard.edu/abs/2025arXiv2…
Graph theory will seriously enhance your engineering skills. Here's why you must be familiar with graphs:
Epstein's survivors deserve justice and Americans deserve transparency.
In further honoring the memory of Dr. Weiss, wanted to share a short that summed up his attitude about his work. a Nobel Prize winner tells you the Secret ..#rainerweiss #nobelprize youtube.com/shorts/u9o8g-w… via @YouTube
youtube.com
YouTube
a Nobel Prize winner tells you the Secret ..#rainerweiss #nobelprize
Rai Weiss, gravitational wave pioneer and Nobel Laureate, passed away yesterday. He was always kind to students, taking time to listen to our ideas. His vision made @LIGO possible and today his legacy continues with a new catalog of discoveries, ligo.caltech.edu/news/ligo20250… .
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