I've been going down this road for almost four years pryzk. It's a very interesting one, and it's surprising who you bump into. Thanks again for a sincere and detailed response. There was a New Scientist article featuring Joy Christian back in 2007, see Quantum untanglement: Is spookiness under threat?. Looking at your previous post more closely:
Sorry to wander off topic.
OK, but "complex" flags up "orthogonal" to me.przyk said:Well delocalisation is part of what a wavefunction describes but there's more to it than that. As I said, the wavefunction is a complex quantity with both an amplitude and a phase (represented as a "length" and an angle in the complex plane), and only the amplitude comes into the delocalisation.
Sorry, I'm not clear what you mean by this. If you fire a neutron in a given direction, you don't expect to find it anywhere in the universe, but you can perform the dual slit experiment with neutrons.przyk said:For example, the wavefunction of a particle with a definite momentum (in one dimension) is proportional to $$e^{i k x} = \cos(kx) + i \sin(kx)$$, where $$p = \hbar k$$. The "presence" of the particle in any given place is given by the norm squared of the wavefunction. This is just a constant for a de Broglie wave (the amplitude of $$e^{i k x}$$ is 1) and you're equally likely to find the particle anywhere in the universe. You don't see that a particle of well-defined momentum has any "wave-like" behaviour in this sense - it's completely contained in the phase part of the wavefunction. You'll only "see" it in position space in interference effects (eg. if you send your particle through a double slit).
I don't think it's naive przyk. But to persuade you would be difficult. It involves a reversal of the relationship of the photon and the electromagnetic field. There are some important clues in electromagnetism. Maybe I ought to start a separate thread on that.przyk said:Well I don't particularly like saying negative things about people or their work (I wish we could all just get along) but I'm not going to state a falsely positive opinion. To me, it looks like the authors were, in 2008, suggesting that we think of the photon as just a classical wave pulse - really nothing more than a small electromagnetic wavepacket. If I haven't misinterpreted anything, then to state my opinion bluntly: that's a really naive idea. For starters, it misses the point of even the earliest concept of the photon (a smallest "unit" of electromagnetic field), which is something that's been amply confirmed in quantum optics experiment. For instance, single photons are always either transmitted or reflected through beam-splitters; they're never split in two like a classical pulse is.
See above.przyk said:A second reason, even if they can explain why a light pulse would hold together and act as an indivisible particle, is that a classical electromagnetic pulse is just that - a classical object. We have a way (via Bell's theorem) of distinguishing quantitatively between "classical" and "quantum" behaviour, and the results of Bell experiments involving photons render the idea of viewing photons as classical light pulses (or any other type of classical object) rather implausible.
Don't be surprised to find rational scientists pursuing meaning and understanding just because this makes things "classical". The alternative is arguably mysticism. Here's a few things to mull over: the wave function is the particle, the "presence of the particle" is the centre of interaction with more of the same, different wavefunction dispositions are different particles, a spin 1/2 particle has two orthogonal real rotations, and rotations do not commute.przyk said:Again, this is if I've understood the article correctly. I keep adding this caveat because the idea of a photon as a classical pulse is a really surprising one to see proposed by what are apparently two working physicists.
Sorry to wander off topic.