Recent content by Hans de Vries

I don't know if you are responding to my post? It was not meant to diminish Geometric Algebra which I have used a lot in all kinds of fields in Physics. Be aware though that high levels of abstraction can sometimes obscure the incompleteness of a mathematical toolbox.

The point is that one should see ##\mathbb{C}## rather as a set of operators: ( 1, ## i##, ##\ast## ) on ## \mathbb{R}^2## The total number of independent operators is 2x2=4 with ##i\ast## as the fourth one. (see post #26) In case of ## \mathbb{R}^4## the set of operators contains two...

Thank you for the article. Just passing by for this: The complex algebra is identical to the algebra of 2x2 real matrices (homomorphic both ways) \begin{equation}\nonumber \begin{array}{c} \mathbf{w} = (a + ib)\,\mathbf{u} ~+~ (c + id)\,\mathbf{u}^* \\ \\ \equiv \\ \\ \left[ \begin{array}{c}...

Once you understand non-simultaneity it is really not that complicated. It is also very natural: Just what you would expect. You can also already see why non-simultaneity occurs without any reference to relativistic effects like Lorentz contraction and Time dilation. This because at low speeds...

This question is a simpler version of the always recurring question: "How to explain Magnetism as a relativistic side effect of the Electric Field" ---------------------------------------------------- The answer to the OP's question: - A test-charge at rest is only subject to an Electric...

. The equation for photons with mass is really the Proca equation ##\partial_\mu(\partial^\mu B^\nu - \partial^\nu B^\mu)+\left(\frac{mc}{\hbar}\right)^2 A^\nu=0## which is equivalent to a Klein Gordon equation for each of the four individual components of ##A^\nu## ##\left[\partial_\mu...

These are just arbitrary coupling constants. They originate from the self interaction energy V of the field ##\varphi## with itself in equation (2). It is a way of expressing the self interaction part of the arbitrary function V in a series of ##\varphi##.

If the spin-vector ##\vec{s}## is given by, ##\vec{s}~=~\left[\begin{array}{c}\xi^*\sigma_x\,\xi \\ \xi^*\sigma_y\,\xi \\ \xi^*\sigma_z\,\xi\end{array}\right]## then the rotated spin-vector ##\vec{s}'## is given by ##\vec{s}' ~=~ R_{ \hat{n} }\left[\begin{array}{c}\xi^*\sigma_x\,\xi \\...

Conservation of momentum is maintained at all times, always. One of the most basic laws of nature. Who would ever make such a ridiculous claim? - Momentum can also be absorbed by the silver mirrors. - Angular momentum can be absorbed by Wollaston prisms. So a loss of correlation at the...

Well yes, that is of course that's what I wanted to say: It's more than just momentum conservation. One would expect at least some "action-at-a-distance" correlation effect in need for an explanation. For instance a higher probability that both green detectors go off or both red detectors go...

It's not as simple as just energy conservation. Do you have an example of a correlation experiment using momentum as an entangled quantum state?

I would urge you to read carefully through the text as accurate and painstakingly as I have done (and anybody can do in the link at the bottom), before you come out in the aggressive way you did. Let's carefully go through the 3 statements (as I ascribed them to Carrol) one by one: 1) All...

I know Sean Carrol's arguments but quote: I don't see how Sean Carrol's following arguments help in anyway: 1) All universes are in superposition and superposition is normal in QM 2) In any universe all particles are entangled so they can't interact with particles in other universes. 3) And...

I should try not to get involved with quantum philosophical discussions, but okay, having done this sort of "hypothetical MWI" calculations in the past: - There are ~##10^{80}## elementary particles in the universe. - Interactions / State transitions take place at the femto second level in...