Ciro Santilli @cirosantilli 35

The first one Ciro Santilli managed to get working in 2022, and which has a free plan.

You can either verify your sending domain by adding 3 DNS records.

Saw the email on Gmail, but Microsoft Outlook did put it into junk though. Yahoo mail also worked fine.

100 emails a day is not insane, but it is forever and appropriate for a test, I'm happy with that.

Considering e.g. Newton's laws of motion, you take a system that is a function of time $f(t)$, e.g. the position of many point particles, and then you reverse the speeds of all particles, then $f(-t)$ is a solution to that.

Or in other words: symmetric groups are boring, because they are basically everything already!

I like relativistic quantum mechanics.

Best mathematical explanation: Section "Spin comes naturally when adding relativity to quantum mechanics".

Physics from Symmetry by Jakob Schwichtenberg (2015) chapter 3.9 "Elementary particles" has an amazing summary of the preceding chapters the spin value has a relation to the representations of the Lorentz group, which encodes the spacetime symmetry that each particle observes. These symmetries can be characterized by small integer numbers:As usual, we don't know why there aren't elementary particles with other spins, as we could construct them.

Bibliography:

Basically a synonym for doing a large chunk of de novo DNA synthesis.

Double cover of $SO(3)$.

Isomorphic to the quaternions.

Schrödinger equation for a one dimensional particle with $V=0$. The first step is to calculate the time-independent Schrödinger equation for a free one dimensional particle

Then, for each energy $E$, from the discussion at Section "Solving the Schrodinger equation with the time-independent Schrödinger equation", the solution is:Therefore, we see that the solution is made up of infinitely many plane wave functions.

Bibliography:

Ciro Santilli believes that there is a positive correlation between being a software engineer and liking Buddhist-like things.

Maybe it is linked to minimalism and DRY, which software engineers value so greatly.

Even Ciro had to try an unoriginal Buddhist joke intro in one of this Stack Overflow answers.

Ciro also feels that his "minimal reproducible example" scientific language/concept learning method obsession of breaking things into tiny sub-problems has a strong link with Koans.

Some notable Buddhism/programmer examples:

Another thing that points the correlation out is the existence of wattsalan.github.io/ on a github.io about Alan Watts.

Ciro Santilli's wife, who was frustrated with academia at some point, admires the fact that Simons managed to make infinite money, and then invested back in actual science, e.g. through the Simons Foundation.

Released by Satoshi Nakamoto on the early mailing list discussions where Bitcoin was announced.

Reuploaded into the blockchain itself: bitcoin.stackexchange.com/questions/35959/how-is-the-whitepaper-decoded-from-the-blockchain-tx-with-1000x-m-of-n-multisi/105574#105574 by using the Satoshi uploader.

More conveniently available on bitcoin.org: bitcoin.org/bitcoin.pdf nowadays, except when it was down for a few years due to our master Craig Steven Wright.