I have read this question:
And it made me curious.
The wiki article says that neutrinos travel at 0.99c, but they do not say whether neutrinos are affected by gravity.
I do not know if there has been any experiment since that would prove if neutrinos are affected by gravity.
So I wanted to know that due to the Shapiro delay, EM waves travel slower (when viewed from Earth) then c, and if this would decide a race between a bent photon and a straight path neutrino.
For this race, since the neutrino only interacts weakly, it would just pass through the sun (I do not know if the Sun would slow it down or not since I do not know if gravity affects it or not), but for the sake of the argument let's make it simpler for the neutrino to pass through the Sun.
Imagine that the Sun is not rotating.
It also has a tunnel throughout its body exactly through the core. Please disregard any other effect then gravity.
From a far away point A (far from the Sun) I would shoot two particles, one neutrino through the tunnel, and a photon a little bit next to the Sun (so just to pass next to the Sun). Point B is so that the line from point A to point B is on a straight (in 3D) line through the tunnel.
I am making the race so that both particles will pass through both point A and B. (given GR/SR bending effects, the photon's path will be bent just right to pass through point B.)
Now it becomes interesting because neutrinos are traveling at 0.99c already, and seen from Earth, a photon would travel (around the Sun) maybe slower then that according to the Shapiro effect.
- Which particle would according to GR/SR arrive at point B first?
- My question's answer could sound at first obvious, but considering that the neutrino's gravitational interaction is not clear, and it traveling inside the tunnel would be affected by gravity too, the answer is not obvious.