Quantum field theory lecture by Tobias Osborne (2017) Lecture 5 by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
- something about finding a unitary representation of the poincare group
- Stern-Gerlach experiment
- fine structure split in energy levels
- anomalous Zeeman effect
- of a more statistical nature, but therefore also macroscopic and more dramatically observable:
- ferromagnetism
- Bose-Einstein statistics vs Fermi-Dirac statistics. A notable example is the difference in superfluid transition temperature between superfluid helium-3 and superfluid helium-4.
Introduction to Spintronics by Aurélien Manchon (2020)
Source. The Spin on Electronics by Stuart Parkin
. Source. 2013.- upload all of cirosantilli.com to ourbigbook.com. I will do this by implementing an import from filesystem functionality based on the OurBigBook CLI. This will also require implementing slit headeres on the server to work well, I'll need to create one
Article
for every header on render. - get
\x
and\Include
working on the live web preview editor. This will require creating a new simple API, currently the editor jus shows broken references, but final render works because it goes through the database backend - implement email verification signup. Finally! Maybe add some notifications too, e.g. on new comments or likes.
Ciro's Edict #6 cirosantilli.com content uploaded to ourbigbook.com/cirosantilli by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
Managed to upload the content from the static website cirosantilli.com (OurBigBook Markup source at github.com/cirosantilli/cirosantilli.github.io) to ourbigbook.com/cirosantilli.
Although most of the key requirements were already in place since the last update, as usual doing things with the complex reference content stresses the system further and leads to the exposition of several new bugs.
The upload of OurBigBook Markup files to ourbigbook.com was done with the newly added OurBigBook CLI
ourbigbook --web
option. Although fully exposed to end users, the setup is not super efficient: a trully decent implementation should only upload changed files, and would basically mean reimplementing/using Git, since version diffing is what Git shines at. But I've decided not to put much emphasis on CLI upload for now, since it is expected that initially the majority of users will use the Web UI only. The functionality was added primarily to upload the reference content.This is a major milestone, as the new content can start attracting new users, and makes the purpose of the website much clearer. Just having this more realistic content also immediately highlighted what the next development steps need to be.
Once v1.0 is reached, I will actually make all internal links of cirosantilli.com to point to ourbigbook.com/cirosantilli to try and drive some more traffic.
The new content blows up by far the limit of the free Heroku PostgreSQL database of 10k lines. This meant that I needed to upgrade the Heroku Postgres plugin from the free Hobby Dev to the 9 USD/month Hobby Basic: elements.heroku.com/addons/heroku-postgresql, so now hosting costs will increase from 7 USD/month for the dyno to 7 + 9 = 16 UDS/month. After this upgrade and uploading all of cirosantilli.com to ourbigbook.com, Heroku dashboard reads reads:so clearly if we are ever forced to upgrade plans again, it means that a bunch of people are using the website and that things are going very very well! Happy how this storage cost turned out so far.
One key limitation found was that Heroku RAM memory is quite limited at 512MB, and JavaScript is not exactly the most memory economical language out there. Started investigation at: github.com/ourbigbook/ourbigbook/issues/230 Initially working around that by simply splitting the largest files. We were just on the verge of what could be ran however luckily, so a few dozen splits was enough, it managed to handle 70 kB OurBigBook Markup inputs. So hopefully if we manage to optimize a bit more we will be able to set a maximum size of 100 kB and still have a good safety margin.
The Dirac equation can be derived basically "directly" from the Representation theory of the Lorentz group for the spin half representation, this is shown for example at Physics from Symmetry by Jakob Schwichtenberg (2015) 6.3 "Dirac Equation".
The Diract equation is the spacetime symmetry part of the quantum electrodynamics Lagrangian, i.e. is describes how spin half particles behave without interactions. The full quantum electrodynamics Lagrangian can then be reached by adding the internal symmetry.
As mentioned at spin comes naturally when adding relativity to quantum mechanics, this same method allows us to analogously derive the equations for other spin numbers.
Bibliography:
Deriving The Dirac equation by Andrew Dotson (2019)
Source. Ciro's Edict #7 Insane links and parents by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
You can now write:in lieu of the old:
<Blue cats> are nice.
= Blue cat
= Big blue cat
{parent=Blue cat}
\x[blue-cat]{c}{p} are nice.
= Blue cat
= Big blue cat
{parent=blue-cat}
Ciro's Edict #8 List topics on home page by
Ciro Santilli 35 Updated 2025-04-24 +Created 1970-01-01
The new default homepage for a logged out user how shows a list of the topics with the most articles.
This is a reasonable choice for default homepage, and it immediately exposes users to this central feature of the website: the topic system.
Doing this required in particular calculating the best title for a topic, since it is possible to have different titles with the same ID, the most common way being with capitalization changes, e.g.:would both have topic ID
JavaScript
Javascript
javascript
.The algorithm chosen is to pick the top 10 most upvoted topics, and select the most common title from amongst them. This should make topic title vandalism quite hard. This was made in a single SQL query, and became the most complext SQL query Ciro Santilli has ever written so far: twitter.com/cirosantilli2/status/1549721815832043522
Screenshot showing the list of topics
. The page is: ourbigbook.com for the logged out user, ourbigbook.com/go/topics for the logged in user.Screenshot showing a topic page
. The page is: ourbigbook.com/go/topic/vector-space. Before this sprint, we didn't have the "Vector Space" at the top, as it wasn't necessarily trivial to determine what the preferred title would be.Every article now has a (very basic) GitHub-like issue tracker. Comments now go under issues, and issues go under articles. Issues themselves are very similar to articles, with a title and a body.
This was part of 1.0, but not the first priority, but I did it now anyways because I'm trying to do all the database changes ASAP as I'm not in the mood to write database migrations.
Here's an example:
- ourbigbook.com/go/issue/2/donald-trump/atomic-orbital a specific issue about the article "Atomic Orbital" by Donald Trump. Note the comments possibly by other users at the bottom.
- ourbigbook.com/go/issues/1/donald-trump/atomic-orbital list of issues about the article "Atomic Orbital" by Donald Trump
Pinned article: ourbigbook/introduction-to-the-ourbigbook-project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . You can also edit articles on the Web editor without installing anything locally. Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact