Ciro Santilli @cirosantilli 37 

Quantum field Updated 2025-07-16

Quantum field theory Updated 2025-07-16

Theoretical framework on which quantum field theories are based, theories based on framework include:

so basically the entire Standard Model

The basic idea is that there is a field for each particle particle type.

E.g. in QED, one for the electron and one for the photon: physics.stackexchange.com/questions/166709/are-electron-fields-and-photon-fields-part-of-the-same-field-in-qed.

And then those fields interact with some Lagrangian.

One way to look at QFT is to split it into two parts:

deriving the Lagrangians of the Standard Model: S. This is the easier part, since the lagrangians themselves can be understood with not very advanced mathematics, and derived beautifully from symmetry constraints
the qantization of fields. This is the hard part Ciro Santilli is unable to understand, TODO mathematical formulation of quantum field theory.

Then interwined with those two is the part "OK, how to solve the equations, if they are solvable at all", which is an open problem: Yang-Mills existence and mass gap.

There appear to be two main equivalent formulations of quantum field theory:

Quantum Field Theory visualized by ScienceClic English (2020)

Source. Gives one piece of possibly OK intuition: quantum theories kind of model all possible evolutions of the system at the same time, but with different probabilities. QFT is no different in that aspect.

youtu.be/MmG2ah5Df4g?t=209 describes how the spin number of a field is directly related to how much you have to rotate an element to reach the original position
youtu.be/MmG2ah5Df4g?t=480 explains which particles are modelled by which spin number

Video 2.

Quantum Fields: The Real Building Blocks of the Universe by David Tong (2017)

Source. Boring, does not give anything except the usual blabla everyone knows from Googling:

youtu.be/zNVQfWC_evg?t=1335 shows www.youtube.com/watch?v=9TJe1Pr5c9Q from quantum field theory simulations
youtu.be/zNVQfWC_evg?t=1522 alludes to the Birch and Swinnerton-Dyer conjecture

Video 3.

Quantum Field Theory: What is a particle? by Physics Explained (2021)

Source. Gives some high level analogies between high level principles of non-relativistic quantum mechanics and special relativity in to suggest that there is a minimum quanta of a relativistic quantum field.

Quantum number Updated 2025-07-16

Quantum numbers appear directly in the Schrödinger equation solution for the hydrogen atom.

However, it very cool that they are actually discovered before the Schrödinger equation, and are present in the Bohr model (principal quantum number) and the Bohr-Sommerfeld model (azimuthal quantum number and magnetic quantum number) of the atom. This must be because they observed direct effects of those numbers in some experiments. TODO which experiments.

E.g. The Quantum Story by Jim Baggott (2011) page 34 mentions:

As the various lines in the spectrum were identified with different quantum jumps between different orbits, it was soon discovered that not all the possible jumps were appearing. Some lines were missing. For some reason certain jumps were forbidden. An elaborate scheme of ‘selection rules’ was established by Bohr and Sommerfeld to account for those jumps that were allowed and those that were forbidden.

This refers to forbidden mechanism. TODO concrete example, ideally the first one to be noticed. How can you notice this if the energy depends only on the principal quantum number?

Quantum Numbers, Atomic Orbitals, and Electron configurations by Professor Dave Explains (2015)

Source. He does not say the key words "Eigenvalues of the Schrödinger equation" (Which solve it), but the summary of results is good enough.

Quantum systems engineering Research group of the University of Oxford Updated 2025-07-16

Innovative university course Updated 2025-07-16

Ciro's Edict #9 / Not work Updated 2025-07-16

Tesseract Updated 2025-07-16

VHDL Updated 2025-07-16

Examples under vhdl, more details at: GHDL.

Jack Hidary Updated 2025-07-16

www.linkedin.com/in/jackhidary/

Do A Moonshot by Jack Hidary (2016)

Source.

Visualizing 4D Updated 2025-07-16

Simulate it. Just simulate it.

4D Toys: a box of four-dimensional toys by Miegakure (2017)

Source.

Questions for Ciro Santilli's future self Updated 2025-07-16