I warned my students that learning Bell's theorem could be a mentally destabilising experience, but they didn't listen. Now who will be there to pick up the pieces?
Some reflections on AI in math. I found it helpful to simply list out the various parts of what a mathematician does, why math is valuable, and where the funding comes from. From there, what happens if AI gets more capable?
https://t.co/H5T1WdIBzw
I'm giving a seminar at the David Potter Institute at UCL this Thurs. at 12:30. Stop by if you'd like to hear about quantum thermodynamics for lattice gauge theories! Feel free to bring your lunch. Thanks to @postquantum for hosting! https://t.co/INAH443my9
@quantum_geoff@PikovskiQuantum@Amir_Safavi_N The detection event conserves energy. There may be some heating process which happens due to the decoherence and diffusion, but that can be small in comparison to the types of non conservation that @PikovskiQuantum is discussing (which happen in mean field theories but not here)
@PikovskiQuantum@quantum_geoff@Amir_Safavi_N Whether it's a graviton or classical wave depends on whether it lives in Hilbert space or phase space. Energy conservation of the detection can happen in both quantum theory and modern classical-quantum theories. I'll send you my note.
@PikovskiQuantum@quantum_geoff@Amir_Safavi_N Modern classical-quantum theories are not based on the semi-classical theory, they are linear and aren't based on taking expectation values. Your argument is about a specific class of models.
@PikovskiQuantum@quantum_geoff@Amir_Safavi_N In postquantum gravity, the detection of a gravitational wave conserves energy. You are thinking about mean field theories which virtually no one believes can be fundamental but which are sometimes mistaken for modern CQ theories (see the misconceptions section of my post).
@four_form@quantum_geoff@Amir_Safavi_N@newscientist@carlorovelli@IvetteFuentesGu There is some work of Layton here and some work I can send you (currently travelling). I agree that the term ”fundamental" can be unhelpful and usually say we "describe" time as a classical parameter. I don't know what it means for time to be quantum. https://t.co/uoOZzNzltW
Since @newscientist has put postquantum gravity in the spotlight this week, I've pushed out part II of my status update on the theory along with replies (or agreements) to some criticisms coming from @carlorovelli, @quantum_geoff, and @IvetteFuentesGu https://t.co/6JikwpdYlA
In this week’s issue: How strange quirks in space-time could give us a unified theory of reality
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@quantum_geoff@Amir_Safavi_N@newscientist@carlorovelli@IvetteFuentesGu@quantum_geoff , I don't think I agree with your point about energy conservation. The deterministic part of the classical-quantum interaction conserves energy exactly (you can see this from the Heisenberg picture since it's a commutator plus Poisson bracket of H with H)....
Can you "test the quantization of gravity" with gravitational wave experiments?
Last week I was asked for an overview on this question. This was a nice chance to spell out some details I usually have to trim, so I'm sharing the slides:
https://t.co/EbPas6aCJk
The short idea:
Mathematics will split into two somewhat different domains: applied math will become the fabric of all engineering and sciences, where theories and algorithms will be built and verified automatically and on-the-fly. It will become a fundamental infrastructure.
Pure math will transform into "high math," addressing the most essential questions of all time, such as P != NP. This will focus on a few central, high-level questions and will be driven mostly by human interests, requiring huge resources and centralized investments.
Physics is a good model: we have applied physics with many practically relevant questions and tasks, while the part of physics concerned with the deepest questions of reality - particle physics and astrophysics - has little economic relevance but requires huge investments.
We're hiring a Senior Operations Officer for the new David Potter Institute for Quantum Information and Spacetime @ucl in London! A varied role: seminars, visitors, launch events, workshops, website, and grant support. Please RT & spread the word! https://t.co/tx7JHkvvFP
If you haven't given Linux a go lately, try with agents.
You can fix anything with a prompt now.
Got a Dell XPS. Webcam wasn't working, told codex, it rebooted and now things work.
...to issues that other scientific and creative professions are facing, and indicate issues that all of humanity might face: how to make sure that, as AI changes the way work is done, we do not lose sight of what that work was meant to achieve in the first place."
"We are witnessing a general threat to intellectual work, with misalignment between the outcome of the use of AI and its initial purpose. ... https://t.co/RnPzYNwhVx
In many fields and activities, years of training have traditionally served not only to produce a final answer or product, but also to develop understanding and the ability to formulate new questions and ideas.... The issues the mathematical community faces now are similar...