The knowledge that light is polarized precedes the knowledge of the existence of the photon, see polarization of light for the classical point of view.
The polarization state and how it can be decomposed into different modes can be well visualized with the Poincaré sphere.
One key idea about photon polarization is that it carries angular momentum. Therefore, when an electron changes orbitals in the Schrödinger equation solution for the hydrogen atom, the angular momentum (as well as energy) change is carried out by the polarization of the photon!
Quantum Mechanics 9b - Photon Spin and Schrodinger's Cat II by ViaScience (2013)
Source. - clear animations showing how two circular polarizations can make a vertical polarization
- a polarizer can be modelled bra operator.
- light polarization experiments are extremely direct evidence of quantum superposition. Individual photons must be on both L and R states at the same time because a V filter passes half of either L or R single photons, but it passes all L + R photons
First we hand-wave some intuition. Then we prove. That's the way to teach.
Open Source 8.5 Digit Voltmeter from CERN by Marco Reps (2021)
Source. 
Ciro Santilli's favorites, including album when they're more of a one hit wonder:
- Allan Holdsworth
- Joe Satriani
- Jean-Luc Ponty
- Chick Corea
- Billy Cobham
- Pat Metheny
- Keith Jarrett (Arbor Zena)
- John Abercrombie (Timelesss)
- Bill Brisell (Blues Dream)
- Larry Coryell (Spaces)
Integrable functions to the power , usually and in this text assumed under the Lebesgue integral because: Lebesgue integral of is complete but Riemann isn't
An Introduction to Tensors and Group Theory for Physicists by Nadir Jeevanjee (2011) shows that this is a tensor that represents the volume of a parallelepiped.
It takes as input three vectors, and outputs one real number, the volume. And it is linear on each vector. This perfectly satisfied the definition of a tensor of order (3,0).
Given a basis and a function that return the volume of a parallelepiped given by three vectors , .
Most commonly refers to: exponential map.
Lie Algebras In Particle Physics by Howard Georgi (1999) Updated 2025-01-10 +Created 1970-01-01
Ciro Santilli has felt that perhaps what is missing in 2020's AGI research is:
- the interface between:The key question is somewhat how to extract symbols out of the space-time continuous experiences.
- the continuous/noisy level (now well developed under artificial neural network techniques of the 2010's)
- and symbolic AI level AI
- more specialized accelerators that somehow interface with more generic artificial neural networks. Notably some kind of speialized processing of spacial elements is obviously hardcoded into the brain, see e.g. Section "Grid cell"
Forcing these boundaries to be tested was one of the main design goals of Ciro's 2D reinforcement learning games.
In those games, for example:Therefore, those continuous objects would also have "magic" effects that could not be explained by "simple" "what is touching what" ideas.
- when you press a button here, a door opens somewhere far away
- when you touch certain types of objects, a chemical reaction may happen, but not other types of objects
Bibliography:
There are unlisted articles, also show them or only show them.