Like some theologian quoting some sacred books?
Change the record lpetrich. I'm the one quoting bona-fide references here. You're the one behaving like a theologian dismissing the science I'm referring to.
So please explain to us once again, Farsight, why Wikipedia deserves the status of a sacred book.
It doesn't. It merely gives a fairly accurate description of current physics knowledge whilst demonstrates that I'm not just making this stuff up.
More classical-limit absurdity
What's absurd is the notion that gluons are real particles. They aren't. They're virtual particles. They aren't real particles prior to proton-antiproton annihilation, and they aren't real particles thereafter when we've rendered the proton and the antiproton down to gamma photons. We do not see gluons spilling out of proton-antiproton annihilation.
lpetrich said:
Electrons as self-interacting photons. Yawn. This indirect photon-photon interaction is teeny teeny teeny tiny.
But this interaction is sufficient to create and electron-positron pair out of photons. Surely even you can see the tautology that suggests photons are converted into electrons and positrons because they spontaneously convert into electrons and positrons. Like worms from mud.
lpetrich said:
Electrons have spin 1/2, and there is no way to get one from an integer-spin field.
Not that old canard. Pair production happens. You get an electron and a positron from your integer-spin field.
lpetrich said:
Rotate a system with spin j by 360 degrees. Its wavefunction will get a sign of (-1)2j relative to its original. Photons get +1, electrons get -1, and never the twain shall meet. One likewise can't get Fermi-Dirac statistics from a system that follows Bose-Einstein statistics. Like what happens to a combined wavefunction upon interchange:
BE: X(2,1) = + X(1,2)
FD: X(2,1) = - X(1,2)
Nobody is impressed by that. because verybody knows you rotate an a spin ½ electron by 720 degrees, like you rotate a moebius strip. Ditto for the positron. And when you annihilate them with one another, you get two photons. Then the twain
do meet. Just as they met in pair production.
lpetrich said:
That's projecting classical-limit intuitions onto quantum-mechanical effects, and that's not the first time that mistake was made.
No it isn't, and it's no mistake. If a photon really fluttered back and forth into an electron-positron pair which cannot travel at c, that photon can't be travelling at c either. And to hoist you by your own petard, you cannot convert an electron and a positron into one photon, now can you? How you think you can get away with vague assertions about "classical-limit intuitions" beats me. And everybody else no doubt.
lpetrich said:
True but totally irrelevant. Why that mass and not some other? The Higgs hypothesis explains it as some value of the electron-Higgs coupling constant. The trapped-photon hypothesis does not have anything comparable to fix a value.
It will. See what I said to Godless Dave. And note that spherical harmonics are used for atomic orbitals, where the electron exists as a standing wave. And that we can diffract an electron. Because it exists as a standing wave even when it isn't in an atomic orbital. Which rather suggests that harmonics also play a role.
lpetrich said:
Because the trapped-photon hypothesis is just plain wrong. Electrons follow the Dirac equation up to collision energies of at least 100 GeV, as determined by the LHC's predecessor, LEP.
How
plain wrong can it be when you can create an electron and a positron from a photon-photon interaction, and annihilate an electron and a positron to get photons? And in between, the electron is something you can diffract. And is a spinor. A thing with spin angular momentum wherein the
Einstein-de Haas effect demonstrates that
spin angular momentum is indeed of the same nature as the angular momentum of rotating bodies as conceived in classical mechanics. Sorry lpetrich, your "plain wrong" just won't do. And nor will
the electron is a fundamental particle. Like you said about the LEP in post
#848:
That accelerator smashed electrons and positrons into each other with energies of more than 100 GeV, and the electron still had Dirac structure. It has
structure. Like a moebius strip. Hence the spin ½. And the Dirac equation is a relativistic wave equation which includes c and ħ. So that electron isn't some point-particle, now is it?