What does it mean that photons are force carriers for electromagnetism? by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
TODO find/create decent answer.
I think the best answer is something along:
- local symmetries of the Lagrangian imply conserved currents. gives conserved charges.
- OK now. We want a local symmetry. And we also want:Given all of that, the most obvious and direct thing we reach a guess at the quantum electrodynamics Lagrangian is Video "Deriving the qED Lagrangian by Dietterich Labs (2018)"
- Dirac equation: quantum relativistic Newton's laws that specify what forces do to the fields
- electromagnetism: specifies what causes forces based on currents. But not what it does to masses.
A basic non-precise intuition is that a good model of reality is that electrons do not "interact with one another directly via the electromagnetic field".
A better model happens to be the quantum field theory view that the electromagnetic field interacts with the photon field but not directly with itself, and then the photon field interacts with parts of the electromagnetic field further away.
The more precise statement is that the photon field is a gauge field of the electromagnetic force under local U(1) symmetry, which is described by a Lie group. TODO understand.
This idea was first applied in general relativity, where Einstein understood that the "force of gravity" can be understood just in terms of symmetry and curvature of space. This was later applied o quantum electrodynamics and the entire Standard Model.
From Video "Lorenzo Sadun on the "Yang-Mills and Mass Gap" Millennium problem":
- www.youtube.com/watch?v=pCQ9GIqpGBI&t=1663s mentions this idea first came about from Hermann Weyl.
- youtu.be/pCQ9GIqpGBI?t=2827 mentions that in that case the curvature is given by the electromagnetic tensor.
Bibliography:
- www.youtube.com/watch?v=qtf6U3FfDNQ Symmetry and Quantum Electrodynamics (The Standard Model Part 1) by ZAP Physics (2021)
- www.youtube.com/watch?v=OQF7kkWjVWM The Symmetry and Simplicity of the Laws of Nature and the Higgs Boson by Juan Maldacena (2012). Meh, also too basic.
I think they are a tool to calculate the probability of different types of particle decays and particle collision outcomes. TODO Minimal example of that.
And they can be derived from a more complete quantum electrodynamics formulation via perturbation theory.
At Richard Feynman Quantum Electrodynamics Lecture at University of Auckland (1979), an intuitive explanation of them in termes of sum of products of propagators is given.
- www.youtube.com/watch?v=fG52mXN-uWI The Secrets of Feynman Diagrams | Space Time by PBS Space Time (2017)
It seems that all/almost all of them do. Quite cool.
One of the very few encrypted emails... beauty. And they also have an encrypted password manager!!! Using this is a must as of 2023 basically. The only missing thing now is to find a fully open source alternative!!!
Sure, search capabilities have to be somewhat limited: proton.me/blog/engineering-message-content-search
techcrunch.com/2021/09/06/protonmail-logged-ip-address-of-french-activist-after-order-by-swiss-authorities/ you've fucking got to use Tor Browser with it if you want your IP to remain hidden, learn that...
Their backend is closed source: www.reddit.com/r/ProtonMail/comments/iyjqxf/is_protonmails_backend_open_source/
Are daily notifications without a recovery email possible? www.reddit.com/r/ProtonMail/comments/yjau8f/allow_daily_email_notifications_without_having_a/ OK, they do work actually.
The lack of Gmail dot trick is tragic however, and you have to pay for multiple aliases. But you can however create separate inboxes with the same cell phone verification however.
Survey of open source interactive plotting software with a 10 million point scatter plot benchmark by Ciro Santilli by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
This feels good.
One problem though is that Heroku is very opinionated, a likely like other PaaSes. So if you are trying something that is slightly off the mos common use case, you might be fucked.
Another problem with Heroku is that it is extremely difficult to debug a build that is broken on Heroku but not locally. We needed a way to be able to drop into a shell in the middle of build in case of failure. Otherwise it is impossible.
Deployment:
git push heroku HEAD:master
View stdout logs:
heroku logs --tail
PostgreSQL database, it seems to be delegated to AWS. How to browse database: stackoverflow.com/questions/20410873/how-can-i-browse-my-heroku-database
heroku pg:psql
Drop and recreate database:All tables are destroyed.
heroku pg:reset --confirm <app-name>
Restart app:
heroku restart
Relativistic particle in a box thought experiment by Ciro Santilli 35 Updated 2025-01-10 +Created 1970-01-01
Described for example in lecture 1.
There are unlisted articles, also show them or only show them.