Ciro Santilli's admiration for Dyson goes beyond his "unify all the things approach", which Ciro loves, but also extends to the way he talks and the things he says. Dyson is one of Ciro's favorite physicist.

Besides this, he was also very idealistic compassionate, and supported a peaceful resolution until World War II with United Kingdom was basically inevitable. Note that this was a strategic mistake.

Dyson is "hawk nosed" as mentioned in Genius: Richard Feynman and Modern Physics by James Gleick (1994) chapter "Dyson". But he wasn't when he was young, see e.g. i2.wp.com/www.brainpickings.org/wp-content/uploads/2016/03/freemandyson_child-1.jpg?resize=768%2C1064&ssl=1 It seems that his nose just never stopped growing after puberty.

He also has some fun stories, like him practicing night climbing while at Cambridge University, and having walked from Cambridge to London (~86km!) in a day with his wheelchair bound friend.

Ciro Santilli feels that the label child prodigy applies even more so to him than to Feynman and Julian Schwinger.

Bibliography:

Shot by Web of Stories.

The amount of detail in which he remembers all that happened is astounding. Not too different from the Murray Gell-Mann interview in that aspect.

Logical consequence, often referred to in formal logic as entailment, is a relationship between statements whereby one statement (or set of statements) necessarily follows from another statement (or set of statements). In other words, if a set of premises logically entails a conclusion, then if the premises are true, the conclusion must also be true. In more formal terms, we can express this using symbolic logic.

TODO definition. Appears to be isomers

Example:

Head of the theoretical division at the Los Alamos Laboratory during the Manhattan Project.

Richard Feynman was working under him there, and was promoted to team lead by him because Richard impressed Hans.

He was also the person under which Freeman Dyson was originally under when he moved from the United Kingdom to the United States.

And Hans also impressed Feynman, both were problem solvers, and liked solving mental arithmetic and numerical analysis.

This relationship is what brought Feynman to Cornell University after World War II, Hans' institution, which is where Feynman did the main part of his Nobel prize winning work on quantum electrodynamics.

Hans must have been the perfect PhD advisor. He's always smiling, and he seemed so approachable. And he was incredibly capable, notably in his calculation skills, which were much more important in those pre-computer days.

WTF is wrong with that family???

Published on the session reports of the Royal Prussian Academy of Sciences at Berlin 1918 page 464.

Is about Maxwell's equations in curved spacetime, and notably introduces gauge theory.

Viewable for free at: archive.org/details/mobot31753002089727/page/464/mode/2up.

The wave equation contains the entire state of a particle.

From mathematical formulation of quantum mechanics remember that the wave equation is a vector in Hilbert space.

And a single vector can be represented in many different ways in different basis, and two of those ways happen to be the position and the momentum representations.

More importantly, position and momentum are first and foremost operators associated with observables: the position operator and the momentum operator. And both of their eigenvalue sets form a basis of the Hilbert space according to the spectral theorem.

When you represent a wave equation as a function, you have to say what the variable of the function means. And depending on weather you say "it means position" or "it means momentum", the position and momentum operators will be written differently.

This is well shown at: Video "Visualization of Quantum Physics (Quantum Mechanics) by udiprod (2017)".

Furthermore, the position and momentum representations are equivalent: one is the Fourier transform of the other: position and momentum space. Remember that notably we can always take the Fourier transform of a function in $L^2$ due to Carleson's theorem.

Then the uncertainty principle follows immediately from a general property of the Fourier transform: en.wikipedia.org/w/index.php?title=Fourier_transform&oldid=961707157#Uncertainty_principle

In precise terms, the uncertainty principle talks about the standard deviation of two measures.

We can visualize the uncertainty principle more intuitively by thinking of a wave function that is a real flat top bump function with a flat top in 1D. We can then change the width of the support, but when we do that, the top goes higher to keep probability equal to 1. The momentum is 0 everywhere, except in the edges of the support. Then:

Bibliography:

There is also a time-energy uncertainty principle, because those two operators are also complementary.

Personal website: jakobschwichtenberg.com/

PhD at Karlsruhe Institute of Technology in 2019: www-kseta.ttp.kit.edu/fellows/Jakob.Schwichtenberg/ on the strong CP problem.

Books:

www.btlabsystems.com/Centrifuges/Mini_Centrifuge_Fixed_7K (archive).

Manual: web.archive.org/web/20190908094334/https://www.btlabsystems.com/downloads/BT602_Mini_Centrifuge_7K_Fixed.pdf

Education has become an expensive bureaucratic exercise, completely dissociated from reality and usefulness.

It completely rejects what the individual wants to achieve, and instead attempts to mass homogenize and test people through endless hours of boredom.

And the only goals it achieves are testing student's resilience to stress, and facilitating the finding of sexual partners. True learning is completely absent.

Teachers only teach because they have to do it to get paid, not for passion. Their only true incentive is co-authoring papers.

We reject this bullshit.

Education is meant to help us, the students, achieve our goals through passionate learning.

And, we, the students, are individuals, with different goals and capabilities.

The way we protest is to publish the knowledge from University for free, on the Internet, so that anyone can access it.

And we do this is a law-abiding way, without copyright infringement, so that no one can legally take it down.

We come to our courses just for the useless roll calls. But we already know all the subject better than the "teacher" on the very first day.

And we are already more famous than the "teacher" online, and through the Internet have already taught more way way more people than they ever will.

The effect of this is to demoralize the entire school system at all levels, until only one conclusion is possible: implosion.

And from the ashes of the old system, we will build a new one, which does only what matters with absolute efficiency: help the individual students achieve their goals.

A system in which the only reason why university exist will be to allow the most knowledgeable students to access million dollar laboratory equipment, and to pay the most prolific content creators so they can continue content creating.

No more useless courses. No more useless tests. Only passion, usefulness and focus.

This is a good book. It is rather short, very direct, which is a good thing. At some points it is slightly too direct, but to a large extent it gets it right.

The main goal of the book is to basically to build the Standard Model Lagrangian from only initial symmetry considerations, notably the Poincaré group + internal symmetries.

The book doesn't really show how to extract numbers from that Lagrangian, but perhaps that can be pardoned, do one thing and do it well.

Contains the full state of the quantum system.

This is in contrast to classical mechanics where e.g. the state of mechanical system is given by two real functions: position and speed.

The wave equation in position representation on the other hand encodes speed in "how fast does the complex phase spin around", and direction in "does it spin clockwise or counterclockwise", as described well at: Video "Visualization of Quantum Physics (Quantum Mechanics) by udiprod (2017)". Then once you understand that, it is more compact to just view those graphs with the phase color coded as in Video "Simulation of the time-dependent Schrodinger equation (JavaScript Animation) by Coding Physics (2019)".

Published by Werner Heisenberg in 1925-07-25 as quantum mechanical re-interpretation of kinematic and mechanical relations by Heisenberg (1925), it offered the first general formulation of quantum mechanics.

It is apparently more closely related to the ladder operator method, which is a more algebraic than the more analytical Schrödinger equation.

It appears that this formulation makes the importance of the Poisson bracket clear, and explains why physicists are so obsessed with talking about position and momentum space. This point of view also apparently makes it clearer that quantum mechanics can be seen as a generalization of classical mechanics through the Hamiltonian.

QED and the men who made it: Dyson, Feynman, Schwinger, and Tomonaga by Silvan Schweber (1994) mentions however that relativistic quantum mechanics broke that analogy, because some 2x2 matrix had a different form, TODO find that again.

Inward Bound by Abraham Pais (1988) chapter 12 "Quantum mechanics, an essay" part (c) "A chronology" has some ultra brief, but worthwhile mentions of matrix mechanics and the commutator.

DokuWiki about physics, mostly/fully written by Jakob Schwichtenberg and therefore focusing on particle physics, although registration might be open to all.