Got an email about how the university library budget is tight so they might get rid of some physics journal subscriptions. This will save them $28k/yr.
Meanwhile, the head football coach here makes $4.5 MILLION per year.
Little astrophysics whiplash this morning — start with "The universe is humming with gravitational waves from supermassive black holes", then suddenly shift gears to "We can see the plane of the Milky Way glowing in neutrinos" 🤯 What a time for science!!
Have you ever put a breve ˘ over a variable name, just so you could take its second derivative ¨ and end up with a tiny happy face ˘̈ ? Hand and Finch went there:
By the way, when UMiss hired the new football coach, the old coaching team was still under contract. There's like another 4 million or so being paid to football staff who no longer work for the university football program.
👀 Sneak a peek at the deepest & sharpest infrared image of the early universe ever taken — all in a day’s work for the Webb telescope. (Literally, capturing it took less than a day!) This is Webb’s first image released as we begin to
#UnfoldTheUniverse
:
Teaching myself Julia by coding up random things that pique my interests. Here are all the complex roots of polynomials of degree 11 where all coefficients are either ±1, computed with arbitrary precision. Any suggestions appreciated!
This evening I learned about the magic number 0.4323320871 8590286890… Drop everything left of the decimal place. Take the reciprocal of this fractional part. Keep doing that. This makes a sequence of numbers. What do you notice about the integers left of the decimal place?
@milknketamine
@benjancewicz
A very fancy version of what glassblowers do to make glass very thin. Start with a solid glass rod, heat it up in a furnace, and pull on it, making it longer and narrower. But now use insanely high purity materials and computer control to pull cables that are a hundred miles long
Lots of NANOGrav folks are rightly making the news but I want to highlight Prof. Sarah Vigeland, who shies away from the limelight, but is the chair of the NG gravitational-wave Detection working group. It's meticulous scientists like Sarah who make sure the analysis is right!
Plot cos(n θ) from θ=-π to +π. Print it out on a strip of paper and wrap it around a semicircle. Now project it straight onto the diameter. What started as a trig function is now a *polynomial*. Congratulations, you just invented the Chebyshev polynomials!
Ok, since people were asking… Here's an easy way to see that Hawking radiation is not due to particle–anti-particle pair at the horizon. First thing to remember is a that a black hole is not a point, it has a size: its Schwarzschild radius Rs~2GM/c^2 (figure below)
1/
The expansion of the universe can't be compared to speed--it doesn't make sense to say it's expanding "faster than the bullet can move". In one second, every piece of the universe (say 1 meter) grows proportionally to its length, with the same factor. Let's talk about it!
🧵 1/
@bitfield
Hey. The geodesic equations are not Einstein's equations. The code for Interstellar only had to ray trace on a fixed analytical background spacetime (Kerr metric), rather than solve partial differential equations for the metric itself. Please correct this.
The software to create the black hole in the movie 'Interstellar' is a full implementation of Einstein's equations in 40,000 lines of C++, and rendered thousands of 23-megapixel IMAX frames on a 32,000-core render farm at about 20 core-hours per frame
Astronomy units are wild. Magnitudes per square arcsecond? nanoJansky per beam? millicrabs? At this point it's a competition to see what you can get other astronomers to believe
Another thing to "study" before Thursday's EHT announcement: how does light orbit black holes with different spins, and at different angles? Play here:
Back in the day, scientists used to have stacks of physical preprints on their desks that they were going to read "real soon". Thanks to the
@arxiv
, we now have 50 browser tabs open with PDFs that we're going to get to any day now. Happy birthday, arXiv!
I'm seeing people complaining about Overleaf being down.
Did you know that you can run LaTeX on your own computer???
(Ok, I've fulfilled my snark quota for the day)
If you go through a lot of graph paper, or you want custom digital templates for note-taking apps, you should know about
@mcnees
's LaTeX graph paper package! Last weekend, we rewrote it to make it super easy to use. Links+examples below. 1/4
Exactly 100 years ago today, the Moon's shadow passed directly over the Earth: a total solar eclipse. On that fateful day, several astronomers were working to photograph the stars by the edge of the sun at the moment of totality. This observation would rocket Einstein to fame. 1/
Today I realized that the only reason Roombas have any hope of cleaning your floor is because it's two dimensional. Random walks in 1 and 2 dimensions have probability approaching 100% of visiting any point as the number of steps goes to ∞. Not so in 3 or higher d.
Mathematicians: we want our students to learn about cutting-edge data science, cloud computing, and machine learning.
Also mathematicians: Make sure to learn these differential identities for the test.
Some tweeps were discussing: does an electron falling in a gravitational field radiate? Is that a violation of the equivalence principle of general relativity? This is a classic thought experiment! Experts were still confused in the 1950s, though EM and GR were long established.
@teeehum
That dude on the right is Jim Gates, PhD from MIT, pictured here. An expert in SUSY/SUGRA, a trailblazer among black physicists, member of Obama's council of advisors on science, past president of the APS... I could go on
Sorry (not sorry) to rant about this, but how does a paper get to be a PRL (and editor's suggestion) with this falsehood in the first sentence of the abstract? Gravity *does* couple to spin! More below if you want to know.
[From in
@PhysRevLett
]
I kind of feel bad because it's so easy… but El*n continues to defend the title of being a dumb person's idea of a smart person. This is only ~60 digits, done back in 1706. But more importantly, our physical reality has nothing to do with how many digits of pi can be computed!
Every student of field theory should know about Warren Siegel's 1080 page PDF titled simply "Fields." It's a fantastic resource for QFT, SUSY, and much more! Get the latest version here:
Physicist Robert
@mcnees
, known for his work on black holes, cosmology, and more, was born
#OTD
. He is internationally renowned for making your twitter TL a better place, teaching countless students, having a really cute puppy, and being a great human being (photo cred
@komcnees
)
This puzzle is so cool and very hard! It's designed so you can unwrap the sphere (projected onto an icosahedron, I think) any way you want, so there are no edge pieces
There's no problem with the entropy of a system decreasing—when it's not an isolated system. Let your cup of tea cool off (radiatively and evaporatively): it loses entropy. But the entropy of cuppa + universe has increased.
Same thing here. Shaking the box? Not isolated.
This video is controversial but I’d like to explore its physics in this thread
As I see it the potential energy of the nails convert to kinetic energy so it transfers energy all through the box the entropy of the system is increased 1/🧵
If you just joined the generating function fan club because of Grant's video: Welcome! And, Herb Wilf has kindly made a PDF of his lovely text, generatingfunctionology, freely available on his web site:
So we know that polynomials of degree 5 or greater can't be solved "by radicals". But that doesn't stop us from finding other closed form expressions for their roots! Today I learned how to do it for any degree n "trinomial" of this form:
Meet the oldest volcanic rock ever found. This is my piece of the Erg Chech 002 meteorite. It originated in the crust of an extinct protoplanet, now long since destroyed (or incorporated within another planet) and older than the Earth itself. Its age? 4.566 billion years!
If the sun disappeared, then for 8 minutes we wouldn't know that the constraint equations of GR had been violated and you broke physics. Actually we wouldn't know for 0 minutes. Or -42 minutes. The constraint equations are not causal, so these statements don't make any sense.
The "much of GR and EM" mentioned here are just the Bianchi identities, which would be true regardless of the equations of motion. The real content of Maxwell's equations is not dF=0 (which is automatic from F=dA), but rather d*F=*J. Similarly for GR.
"The boundary of a boundary is always empty."
A huge amount of (classical) physics, including much of general relativity and electromagnetism, can be deduced directly from this simple mathematical fact.
Yet, on the surface, it doesn't seem to have much to do with physics. (1/10)
More python fun: You can play around with a black hole binary's orientation in *real time* and see what the gravitational wave signal would be that
@LIGO
or
@ego_virgo
would detect from your point of view! [Work in progress by
@vijayvarma392
and me]
Nobody online seemed to have visualizations of the vector spherical harmonics, so I whipped this up in Mathematica (it's a bit slow for smooth interaction). The "electric type" Yᴱ is "curl-free" and the "magnetic type" Yᴮ is divergence-free.
Some lovely plots for the history books: the Hellings-Downs curve, predicted in 1983, and finally observed by
@NANOGrav
! Their detection paper is up now:
Who else is starting their first year as faculty (or first term they have to teach) and slightly freaking out about preparing their classes? Like, I know all this material, but CAN I EVEN TEACH???
Lizzo has announced her completion of the binary black hole problem to 4.5 PN order, and matched to the 3 PM calculation, with arbitrary misaligned spins and eccentricity
I'm honored to have been selected as one of the 2023 Sloan Research Fellows! Thanks to the
@SloanFoundation
, my nominator and letter-writers, and colleagues who've supported me over the years. I'm humbled by the brilliant company I'm in.
We are delighted to announce the winners of this year’s Sloan Research Fellowship! These outstanding researchers are shining examples of innovation and impact—and we are thrilled to support them. Meet the winners here: 🎉
#SloanFellow
#STEM
#ScienceTwitter
Got word yesterday that Stanley Deser, one of the giants of relativity, passed away. He is the D of ADM, contributed to foundational work in supergravity, showed 1-loop renormalizability of GR+Maxwell, and so much more. May his memory be a blessing
One of Sidney Coleman's most iconic quotes. Casually lighting up in lecture. Chugging coffee. The cheeky grin and laughing at his own jokes. This lecture had it all! (Will transcribe what he says below)
1/4