Sean Carroll
@seanmcarroll.bsky.social
39K followers 580 following 7.9K posts
Physics, philosophy, complexity. @jhuartssciences.bsky.social & @sfiscience.bsky.social. Host, #MindscapePodcast. Married to @jenlucpiquant.bsky.social. Latest books: The Biggest Ideas in the Universe. https://preposterousuniverse.com/
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Reposted by Sean Carroll
fionatribe.bsky.social
Happy Birthday Friedrich Nietzsche, Michel Foucault and Italo Calvino! 🎈
seanmcarroll.bsky.social
So we just reject an eternally-fluctuating cosmology, yes? The problem is that the currently favored cosmological model - ΛCDM, with cosmological constant - evolves into de Sitter space with a nonzero temperature, and therefore (arguably!) thermal fluctuations. A problem for the real world.
seanmcarroll.bsky.social
This formulation helps emphasize that the "brain" part of BBs is not what matters. Whatever you want - brain, whole observer, whole planet, entire galaxy - will most likely fluctuate into existence from thermal equilibrium, not arise as a thermodynamically sensible outcome of ordinary evolution.
seanmcarroll.bsky.social
Today in #PhilosophyOfCosmology we learned that an eternally-fluctuating universe doesn't really work because, given any anthropic criterion for what is an "observer," the theory predicts most such observers will be surrounded by thermal equilibrium. I.e. they will be Boltzmann Brains.
Reposted by Sean Carroll
chrislintott.bsky.social
Cosmologists! We have a faculty job going here in Oxford - happy to answer questions. Brief version is that this remains a great & collaborative place to do science and the students are superb. 🔭 www.jobs.ac.uk/job/DOP628/a...
Associate Professor of Cosmology at University of Oxford
Recruiting now: Associate Professor of Cosmology on jobs.ac.uk. Click for details and explore more academic job opportunities on the top job board
www.jobs.ac.uk
seanmcarroll.bsky.social
Oops yes I certainly did!
seanmcarroll.bsky.social
Our coping strategy will start by paying close attention to the domain of the operators, which is going to be a subspace of L^2(R). We said that much today, will put it to work next class.

(Almost no intro QM courses cover this stuff, but it's good for the soul.)
seanmcarroll.bsky.social
Then we admitted that some of our favorite operators, like position and momentum, are actually "unbounded" operators when acting on L^2(R) (square-integrable functions). They take perfectly good functions and pop them completely out of the space (e.g. if they're discontinuous or decay slowly).
seanmcarroll.bsky.social
But we're here to learn physics, not math. So we turned to Hilbert space, and finally completed the definition. Hilbert space is not only a complex vector space with an inner product, it must be "complete" - every Cauchy sequence converges to a limit in the space. (Unlike rationals in the reals!)
seanmcarroll.bsky.social
Big shift of gears today in #QM1: we started taking infinite-dimensional Hilbert spaces seriously. First I did a quick intro to "infinity" and what that means - cardinalities, Q and Z are countable but R is not, Q is dense in Z, all that stuff. The class was not familiar with these ideas!
Reposted by Sean Carroll
joshdobbin.bsky.social
My question about Time that has bugged me ALL MY LIFE, that I sent in got answered at the 25:50 mark! And I was scared it was too dumb or basic to address, but @seanmcarroll.bsky.social set me straight & was kind enough to address it in such a way that I finally *get* it. Yay!
seanmcarroll.bsky.social
Mindscape Ask Me Anything | October 2025. Hopefully this one answers once and for all why the universe isn't a black hole if it was so densely packed at early times. #MindscapePodcast

www.preposterousuniverse.com/podcast/2025...
Title card for Mindscape AMA episode.
seanmcarroll.bsky.social
Mindscape Ask Me Anything | October 2025. Hopefully this one answers once and for all why the universe isn't a black hole if it was so densely packed at early times. #MindscapePodcast

www.preposterousuniverse.com/podcast/2025...
Title card for Mindscape AMA episode.
seanmcarroll.bsky.social
I wonder whether at some point people who are currently Christian nationalists are going to figure out that Christianity isn’t actually a good fit for their core values - too much empathy, helping the downtrodden, etc - and just become pagan nationalists or something.
richraho.bsky.social
Pope to Chicago Labor Leaders: “Please know of my appreciation for your welcome of immigrants and refugees, especially your support of food pantries and shelters….I encourage you to continue to advocate for society to respect the human dignity of the most vulnerable.” www.vatican.va/content/leo-...
Reposted by Sean Carroll
amayor.bsky.social
Let me know in a message if you would like a free Spotify code for my audiobook Mythopedia, limited supply
Reposted by Sean Carroll
vanhollen.senate.gov
This is what courage in the face of authoritarianism looks like. No university should take Trump's bribe & surrender their integrity — bending the knee to a bully only feeds the beast & puts ALL our rights at risk.

Others should follows MIT’s example ASAP.
MIT rejects Trump administration deal for priority federal funding
MIT is one of the nine schools that were asked to agree to adopt conservative priorities and policies in exchange for funding perks.
www.washingtonpost.com
Reposted by Sean Carroll
filipecampante.bsky.social
It might be hard to convey to people outside economics just how seismic this is. The Trump effect has most certainly arrived to US academia.
florianscheuer.bsky.social
I am delighted to share that Nobel laureates Esther Duflo and Abhijit Banerjee will join our Department of Economics @econ.uzh.ch at the University of Zurich on July 1, 2026, as Lemann Foundation Professors of Economics.

🧵 1/7
seanmcarroll.bsky.social
Still can’t get over that my job involves talking and thinking about this stuff.
seanmcarroll.bsky.social
The fun, of course, is thinking about the implications, from the Einstein-Podolsky-Rosen (EPR) paper from 1935. If we move spins A and B far apart, it remains true that the outcome of Alice measuring her spin affects the potentialities for Bob's measurement outcomes. Spooky action at a distance!
seanmcarroll.bsky.social
How can spin B's options be affected by A's measurement, apparently faster than light? And how does Nature conspire to prohibit us from using this fact to actually send information?

I was honest that people still don't agree on how to talk about this. A modern intellectual tragedy.