Astrophysicist, EX-Meta, GSIT, Amazon, Microsft, NASA/JPL
Joined March 2009
- Tweets 1,476
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- Followers 2,212
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16 Photos and videos
Mar 31
Lie theory, featuring 3D rotations - Online Technical Discussion Groups—Wolfram Community community.wolfram.com/groups…
All about su(2), so(3), SU(2), SO(3), packed into 21 pages with proofs. My latest staff pick.
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Mar 14
Why SU(2) is a better choice than SO(3): my latest staff pick at the Wolfram Community:
community.wolfram.com/groups…
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How about calculating the dynamics of a pendulum or a symmetrical top from geodesics in a curved manifold, SO(3)? See my latest Staff Pick at the Wolfram Community
SO(3) Gauge Theory for Classical Mechanics in UD
community.wolfram.com/groups…
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Feb 18
As promised, here is the Schwarzschild metric ab-initio. No dragons this time. Only college maths are needed. It was found almost immediately after the publication of Einstein's General Relativity by Karl Schwarzschild while he was enlisted in WWI.
community.wolfram.com/groups…
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Feb 10
If you liked Schwarzschild black holes, you'll love spinning Kerr black holes, but beware the fearsome dragon!
Read about the Wizard's Quest here, my latest Staff Pick at Wolfram Community:
community.wolfram.com/groups…
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Truly excellent notes on non-quantum field theory: digitalcommons.usu.edu/lib_m…. While "charting" my own path through diff. geom and all that at Wolfram Comm. community.wolfram.com/web/bc…, I stumbled on Charles Torre's, aimed straight at the sweet spot for a physicist: just enough rigor.
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Interactive Black-Hole Dynamics with the Relativity Toolkit
My latest Staff Pick at Wolfram community.wolfram.com/groups…
source on GitHub: github.com/rebcabin/Relativi…
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Jan 22
Covariant derivatives etc. in the UD calculus: moving toward black-hole physics ab-initio. My latest staff pick at Wolfram :) community.wolfram.com/groups…
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23 Jan 2024
nice derivation of Planck's radiation law from first principles, 19th-century style
thecuriousastronomer.wordpre…
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22 Jan 2024
Overheard in the compiler commissary: "There are smart people who would rather work hard than think hard. We outsmart them by making them think they're working hard by working hard to save them from thinking hard."
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3 Jan 2024
Lie Groups are both manifolds and groups. Being a group means that moving around on the manifold is group multiplication (you never leave, you can always go back, you're allowed to go nowhere).
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4 Jan 2024
I forgot the last rule-of-the-road for groups -- "associativity:" doesn't matter if you go from A to B, have a coffee in B, then go to C; or if you go to A, have your coffee there, then go through B to C, so long as you go through A and B in that order.
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Brian Beckman retweeted
1 Jan 2024
The margins aren't too wide, the paper's too big. johndcook.com/blog/2012/09/1…
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3 Jan 2024
My latest Staff Pick at Wolfram Community: Algebraic Travesties, or How to Generate Random Algebra Expressions from a grammar :) community.wolfram.com/groups…
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2 Jan 2024
Why not power arctic data hypercenters with container-sized reactors? gao.gov/assets/gao-20-380sp.…
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Brian Beckman retweeted
28 Dec 2023
Unified theory of Fourier analysis johndcook.com/blog/2017/08/2…
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Brian Beckman retweeted
28 Dec 2023
An unusual introduction to manifolds
johndcook.com/blog/2023/12/2…
"This tutorial offers a bridge between the abstract mathematics of manifolds and computational practice."
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Brian Beckman retweeted
12 Dec 2022
Beyond Functional Programming: The Verse Programming Language [pdf] simon.peytonjones.org/assets…
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