Diode bridge Updated 2025-07-16
Donald Knuth Updated 2025-07-16
Nu (letter) Updated 2025-07-16
clang Updated 2025-07-16
Coulomb gauge Updated 2025-07-16
Alternative to the Lorentz gauge, but less used in general as it is not as nice for relativity invariance.
Linus Torvalds Updated 2025-07-16
Lorentz boost Updated 2025-07-16
Lorentz invariant Updated 2025-07-16
Representation theory of the Lorentz group Updated 2025-07-16
Physics from Symmetry by Jakob Schwichtenberg (2015) page 66 shows one in terms of 4x4 complex matrices.
More importantly though, are the representations of the Lie algebra of the Lorentz group, which are generally also just also called "Representation of the Lorentz group" since you can reach the representation from the algebra via the exponential map.
Bibliography:
- Physics from Symmetry by Jakob Schwichtenberg (2015) chapter 3.7 "The Lorentz Group O (1, 3)"
Public speaking Updated 2025-07-16
Useful Updated 2025-07-16
Artificial general intelligence Updated 2025-07-16
Given enough computational power per dollar, AGI is inevitable, but it is not sure certain ever happen given the end of end of Moore's Law.
Alternatively, it could also be achieved genetically modified biological brains + brain in a vat.
Imagine a brain the size of a building, perfectly engineered to solve certain engineering problems, and giving hints to human operators + taking feedback from cameras and audio attached to the operators.
This likely implies transhumanism, and mind uploading.
Ciro Santilli joined the silicon industry at one point to help increase our computational capacity and reach AGI.
Ciro believes that the easiest route to full AI, if any, could involve Ciro's 2D reinforcement learning games.
Artificial intelligence bibliography Updated 2025-07-16
ARTIQ Updated 2025-07-16
ASCII Updated 2025-07-16
Newton's laws of motion Updated 2025-07-16
Arginine Updated 2025-07-16
Balloon Updated 2025-07-16
Solutions of the Dirac equation Updated 2025-07-16
Quantum Mechanics 12b - Dirac Equation II by ViaScience (2015)
Source. - youtu.be/tR6UebCvFqE?t=23 particle at rest
- youtu.be/tR6UebCvFqE?t=322 unidirectional movement without a potential
- youtu.be/tR6UebCvFqE?t=507 shows that observers in different frames of reference also see different spin. We are reminded of how magnetism is just a side effect of special-relativity.
- youtu.be/tR6UebCvFqE?t=549 Dirac equation solution for the hydrogen atom, final result only + mentions fine structure prediction.
Solving partial differential equations with the Fourier series Updated 2025-07-16
See: math.stackexchange.com/questions/579453/real-world-application-of-fourier-series/3729366#3729366 from heat equation solution with Fourier series.
Separation of variables of certain equations like the heat equation and wave equation are solved immediately by calculating the Fourier series of initial conditions!
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