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🧰 Free analysis for John Carlos Baez
Known for
88 views
The math has been around for decades - but nobody noticed it gives a new framework for quantum mechanics from which the Standard Model gauge group and its representation on one generation of quarks and leptons falls out pretty naturally:
https://arxiv.org/abs/2607.10833
I will probably explain this in a bit, but I'm still recovering from writing the paper! We sprinted to finish it in time for our
55 views
Wow! If the side length of this "Sierpiński triangle" is 1, the average distance between its points is 466/885.
Double wow! The average number of moves in a shortest path between two random states in the n-disc Tower of Hanoi puzzle is asymptotically (466/885)·2ⁿ as n → ∞.
(1/n)
18 views
BUT, we now have much nicer counterexamples to the Jacobian Conjecture than the one originally found by Fable on July 19th. It took just a day.
If the math here makes no sense, try the explanation here:
https://bsky.app/profile/gro-tsen.bsky.social/post/3mr5nqxvmh22v
(3/n)
16 views
Why do paths through the nth approximation to the Sierpiński triangle correspond to allowed sequences of moves in the n-disc Tower of Hanoi?
Well, suppose you have 3 discs. Draw the allowed states of the Tower of Hanoi puzzle as below. For example, (3,2,1) means "biggest disc on post 1, second biggest on post 2, third biggest on post 3". Draw edges for allowed moves between states. You get
📊 Post engagement
33
Avg engagement / post
0.2%
Engagement vs followers
Apr 2022
On Mastodon since
🔥 Top post: The math has been around for decades - but nobody noticed it giv · 88 likes + reposts
📊 Activity & format
Posting cadence
5.8 / week
Posts several times a week.
Content mix
Mostly text
Recent: 8 text · 4 image · 0 video.
Follower / following
26×
Follows 574 back. A strong ratio — an audience that follows them, not a follow-for-follow network.
Recent posts
View on Mastodon ↗
🔥 Top post
The math has been around for decades - but nobody noticed it gives a new framework for quantum mechanics from which the Standard Model gauge group and its representation on one generation of quarks and leptons falls out pretty naturally:
https://arxiv.org/abs/2607.10833
I will p…
Wildberries is not just the Amazon of Russia. It sells a wide range of military gear. And shockingly, Russian soldiers often have to buy their own body armor, combat vests, helmets, boots, clothing, torniquets, first-aid kits and even dr…
BUT, we now have much nicer counterexamples to the Jacobian Conjecture than the one originally found by Fable on July 19th. It took just a day.
If the math here makes no sense, try the explanation here:
https://bsky.app/profile/gro-tsen.…
Someone on Bluesky asked what's the relevance to quantum field theory.
The first step is to find polynomials P with E[Pⁿ] = 0. After some thinking we notice P(x,y) = x + iy has this property, and indeed the Gaussian Moments Conjecture hol…
The Gaussian Moments Conjecture is a pretty conjecture connected to probability and quantum field theory. Two days ago we suddenly learned it's false! - since it implies the Jacobian conjecture.
Let me explain this conjecture - it's very…
For more on the connection between the Sierpiński triangle and the Tower of Hanoi puzzle, you can watch this video by 3Blue1Brown:
https://www.youtube.com/watch?v=bdMfjfT0lKk
Thanks to Oscar Cunningham for getting me started on this:
http…
Why do paths through the nth approximation to the Sierpiński triangle correspond to allowed sequences of moves in the n-disc Tower of Hanoi?
Well, suppose you have 3 discs. Draw the allowed states of the Tower of Hanoi puzzle as below. …
But suppose we measure distance between points in the plane in the usual way. What's the average distance between two points in the Sierpiński triangle with side length 1? I'm getting
0.4226884 ± 0.00004
This is close to 41/(56√3). B…
But be careful:
By "distance", I mean the length of the shortest path moving inside the Sierpiński triangle, not the usual distance between points in the plane.
Also: we compute the "average" distance using the natural measure on the Si…
Wow! If the side length of this "Sierpiński triangle" is 1, the average distance between its points is 466/885.
Double wow! The average number of moves in a shortest path between two random states in the n-disc Tower of Hanoi puzzle i…
The exceptional groups E₈, E₇ and E₆ are famous - but in fact we can define Eₙ groups for smaller n too. E₃ is the gauge group of the Standard Model! Some larger ones are gauge groups of famous grand unified theories. I used to think …
RE: https://mathstodon.xyz/@foldworks/116879349561576734
The mathematical skill of those tilers was astounding.
BUT, we now have much nicer counterexamples to the Jacobian Conjecture than the one originally found by Fable on July 19th. It took just a day.
If the math here makes no sense, try the explanation here:
https://bsky.app/profile/gro-tsen.…
Someone on Bluesky asked what's the relevance to quantum field theory.
The first step is to find polynomials P with E[Pⁿ] = 0. After some thinking we notice P(x,y) = x + iy has this property, and indeed the Gaussian Moments Conjecture hol…
The Gaussian Moments Conjecture is a pretty conjecture connected to probability and quantum field theory. Two days ago we suddenly learned it's false! - since it implies the Jacobian conjecture.
Let me explain this conjecture - it's very…
For more on the connection between the Sierpiński triangle and the Tower of Hanoi puzzle, you can watch this video by 3Blue1Brown:
https://www.youtube.com/watch?v=bdMfjfT0lKk
Thanks to Oscar Cunningham for getting me started on this:
http…
Why do paths through the nth approximation to the Sierpiński triangle correspond to allowed sequences of moves in the n-disc Tower of Hanoi?
Well, suppose you have 3 discs. Draw the allowed states of the Tower of Hanoi puzzle as below. …
But suppose we measure distance between points in the plane in the usual way. What's the average distance between two points in the Sierpiński triangle with side length 1? I'm getting
0.4226884 ± 0.00004
This is close to 41/(56√3). B…
But be careful:
By "distance", I mean the length of the shortest path moving inside the Sierpiński triangle, not the usual distance between points in the plane.
Also: we compute the "average" distance using the natural measure on the Si…
Wow! If the side length of this "Sierpiński triangle" is 1, the average distance between its points is 466/885.
Double wow! The average number of moves in a shortest path between two random states in the n-disc Tower of Hanoi puzzle i…
The exceptional groups E₈, E₇ and E₆ are famous - but in fact we can define Eₙ groups for smaller n too. E₃ is the gauge group of the Standard Model! Some larger ones are gauge groups of famous grand unified theories. I used to think …
RE: https://mathstodon.xyz/@foldworks/116879349561576734
The mathematical skill of those tilers was astounding.
🐘 Community & instance
Home server
mathstodon.xyz
Their home server on the fediverse — the instance a creator picks signals the community they belong to.
On Mastodon since
Apr 2022
An established account with real history on the platform.
💡 Facts
🗓️Joined Mastodon in 2022 — 4 years ago.
👁️Averages 33 views per post.
📤Posts about 5.8× per week.
🏅Earned the 10K Followers for passing 10K followers.
🕵️ Fake follower check
Estimated49/100
Fair
Credibility score
78%
Mixed
Real audience
Medium
Fake-follower risk
High
Data confidence
- Est. 78% real, active audience · Medium fake-follower risk.
- Low engagement (~0.2% of followers engage each post) — a sign of an inflated or inactive audience.
- Organic base — far more followers than accounts it follows.
- Established account (4+ years old).
Heuristic estimate from engagement, follower ratios, account age & growth — a screening signal, not a guarantee.
About
I'm a mathematical physicist who likes explaining stuff. I'm the Maxwell Fellow of Public Engagement at the School of Mathematics and the School of Physics and Astronomy at the University of Edinburgh.
Check out my blog Azimuth! I'm also a member of the n-Category Café, a group blog on math with an emphasis on category theory. I also have a YouTube channel, full of talks about math, physics and the future.
📸 Gallery
🔀 Audience overlap
EstimatedEstimated shared audience with similar creators — useful for avoiding overlap (or doubling down) when planning a campaign.
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