Ciro Santilli @cirosantilli  40

Based on the $L_x$,$L_y$ and $L_z$ derived at Lie algebra of $SO(3)$ we can calculate the Lie bracket as:

Behavior fully described by quantum electrodynamics.

Hypothesized as the explanation for continuous electron energy spectrum in beta decay in 1930 by .

First observed directly by the Cowan-Reines neutrino experiment.

What you would see the moving rod look like on a photo of a length contraction experiment, as opposed as using two locally measured separate spacetime events to measure its length.

Default mathematics typesetting used in OurBigBook Markup.

Key issues:

LaTeX subset that output nicely to HTML.

Too insane though due to LaTeX roots, better just move to newer HTML-first markups like OurBigBook Markup or markdown.

The type of feeling of confusion and distrut for your sense that some Koans attempt to instill.

Ciro Santilli's preferred version of it is physics and the illusion of life.

Some notable references:

The Klein-Gordon equation directly uses a more naive relativistic energy guess of $p^2+m^2$ squared.

But since this is quantum mechanics, we feel like making $p$ into the "momentum operator", just like in the Schrödinger equation.

But we don't really know how to apply the momentum operator twice, because it is a gradient, so the first application goes from a scalar field to the vector field, and the second one...

So we just cheat and try to use the laplace operator instead because there's some squares on it:

But then, we have to avoid taking the square root to reach a first derivative in time, because we don't know how to take the square root of that operator expression.

So the Klein-Gordon equation just takes the approach of using this squared Hamiltonian instead.

Since it is a Hamiltonian, and comparing it to the Schrödinger equation which looks like:taking the Hamiltonian twice leads to:

We can contrast this with the Dirac equation, which instead attempts to explicitly construct an operator which squared coincides with the relativistic formula: derivation of the Dirac equation.

Examples at: two-js/.

JavaScript library, works both on browser and headless with Node.js to SVG.

Feels good. Maybe not ultra featured, and could have more simple examples in docs, but still good.

Vs Paper.js github.com/jonobr1/two.js/issues/319

One of the main features of Two.js appears to be the fact that it can natively render to either SVG and canvas, rather than creating SVG through DOM hacks as done by other projects.

Node.js does have Node.js worker_threads however.