If the laws of physics varied with position, each new point would need new rules but, in our universe, gravity works on Mars as it does on earth. This spatial symmetry is basic to physics but neutrinos violate it because they always spin left-handed. This asymmetry isn’t reflected in the laws of physics, so as Pauli said:
“I cannot believe God is a weak left hander” (Lederma & Teresi, 2012), p256.
What is spin-handedness? If you point your left thumb forward, the fingers of your hand curl in a left-handed spin, but for your right thumb forward, the fingers curl in a right-handed spin. Figure 4.25 shows how left and right-handed screws differ, and particles also spin differently as they move.
Particles also change their spin when they reverse direction, so if both your hands move forward, they spin differently, but if one hand moves backwards, they spin the same. Reversing direction reverses spin, so reversing an electron’s direction should make it spin the other way, and electrons do indeed spin both ways.
By spatial symmetry, this rule should also apply to neutrinos but they always spin left, and anti-neutrinos always spin right. Electrons spin both ways but their brother neutrinos don’t, and the standard model can’t explain why. That neutrinos always spin left is a deep mystery that contradicts spatial symmetry.
Pauli couldn’t believe that God is a left-hander but what if the first event was left-handed? The first photon had to spin left or right, and apparently it went left, and made a universe of matter not anti-matter. Yet reversing an electron’s direction reverses its spin, so why aren’t neutrinos the same?
The mass of an electron is based on photons colliding from opposite directions, so in a physical event, it can spin either way, randomly. Changing its direction reverses both spins, so it still spins either way.
However, the mass of a neutrino comes from only one photon set, so it always spins left. Reversing its direction changes its phase, so its mass now comes from the other set of photons that also spin left. When an electron reverses direction, its mass origin doesn’t change, but when a neutrino reverses direction, another set of left-spin photons create its mass. Neutrinos then always spin left because when they reverse direction, the source of their tiny mass changes. The only way to change the spin of a neutrino is to make it an anti-neutrino.
If anti-neutrinos are neutrino-processing in reverse, then they always spin right. Spatial symmetry requires the mirror image of a particle to be the same particle but for a wave on a surface, this doesn’t apply. It follows that the asymmetry that made our universe matter not anti-matter is why neutrinos always spin left and anti-neutrinos always spin right.