Recent content by Paul Colby

Why is the GitHub link redacted? Are there references to published work on your code?

Yes, I purchased this text quite some time ago and put it down when it became apparent the concept was a wash. As to Adler referencing Trifonov's work, this would require a causality violation. Trifonov references Adler. One is reminded that while all physics is mathematics, not all mathematics...

Adler wrote a book, "Quaternionic Quantum Mechanics and Quantum Fields." Any overlap with Trifonov? It's a big book I haven't spent much effort on. Trifonov doesn't appear in Adler's references.

If that's your question then, yes. Quantum objects don't hold information that determines the outcome of the interaction was my test assertion. A possible counter example is given by entangled particles. Entangled particles occupy a multi particle state which correlate their subsequent...

So, if I said the answer is no, could you provide a counter example?

What's a "physical participant" in a quantum interaction? As far as I know, and this may not be very far, the basic rules of QM provide no information as to when a given isolated atom or nucleus will decay. It only provides decay rates of collections of such systems. So, is there a means for...

I don’t follow your question. [deleted synchronous gauge]

As I recall transverse refers to ##\partial^\mu h_{\mu\nu} =0## which is the case. EM waves are transverse in that E and H are orthogonal to the wave vector.

There should be one (and only one) def per state. onStarting, onOpen, onClosed, onOpening, and, onClosing. Anyway, a working solution is a working solution.

Cool project. State machines can be very effective. I find the design pattern used here kinda ugly. For certain, it works, but an alternative I've found useful is to encapsulate States as functions. In a recent project I needed to parse bytes from a USB device in realtime. In c++ states were...

If I recall correctly, a plane wave in the TT gauge propagating along z is, $$ h_{\mu\nu} = H_+ f(t-z) + H_\times g(t-z) $$ where ##f## and ##g## are arbitrary functions. The constant polarization matrices are, $$ H_+ = \left(\begin{array}{cccc} 0 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & -1 & 0...

At this point I find it instructive to consider some numbers. A round trip time for light in a 4km long interferometer is, $$ \frac{8\times 10 ^3}{3\times 10^8} = 27 us $$ Gravitational events detected are in 500ms to 1s duration range. Of course the number of light transversals for LIGO is much...

The spin states are completely degenerate since your Hamiltonian doesn't depend on spin. You've chosen an orthogonal set of spin states so you're diagonal already. I can't think of a reason why this wouldn't generally be the case. Nice work.

I mean proper distance changes with ##s##, the proper time. These are frame independent quantities. In the TT coordinates, ##s=t##. The actual measurement occurs at the point where the beams from each arm are combined. What’s measured is the time variation of the light intensity caused by the...

Yes. The ##\Gamma^\mu_{\nu\alpha}## terms in the geodesic equation only sprout space components in the TT gauge. Basically, ##\Gamma^x_{tt}=\Gamma^y_{tt}=\Gamma^z_{tt} = 0##. A point particle at rest in this frame remains at rest as the wave passes because all the ##\frac{dx^\mu}{ds}## terms...