I'm a videographer, so visually I'm looking straight ahead with both eyes (or 2 cameras) creates a different image than with one eye shut. The overlap creates another dimension, but has nothing to do with speed.
Light isn't sound. Eyes are a similar analogy to ears, but different. Your eyes see in dimensions because of the parallax difference created by your eyes being in two different locations. The brain knows how to interpret the parallax to allow us to see in 3D (unless you go blind in one eye).
Your ears hear directionally because our brain understands that sound takes longer to get from one ear to the other and the fact that our ears point in opposite directions. You can somewhat prove directionality to yourself by plugging one ear, closing your eyes and then have someone talk to you from a distance (but not while they're walking around you...make them stand stationary). Try to figure out where they are in the room and you MIGHT get it right because of the psycho-dynamics of sound (if they're on your left and your right ear is the hearing ear, your brain will understand and interpret how this sound is more muffled therefore you'll assume through analysis that the sound is coming from the left, but not through directionality), but if the sound is direct, you won't be able to tell where they are in the room even though you can hear them through one ear. It's totally harder to locate them if you're outside and there's no reverb soundwaves to help you diagnose where they are directionally.
So, stereo hearing allows you to directionally locate where the sound is coming from...and stereo mic'ing allows you to directionally locate where a sound source is coming from. The incident angle and spacing influence this directionality and, if the angle and spacing are inconsistently set-up to the dimensional qualities of the taping environment (distance from the stage, spread of the speakers, etc.) the directional imaging of the sound will be shifted on the recording from reality. That is why angles and spacing between stereo mics can matter so much.
An important concept to realize is that the sound recorded on each of the mics themselves don't create a stereo image. It's how our ears hear the sound and then how our brain interprets the interaction of sounds that fools our brains into telling us what directional location a sound is coming from.
Now, trying to make a corrolation. In terms of speed, it takes a bit longer for the left "stack" to reach the right ear than to the left ear, and vice-versa. The little time shift adds to the stereo effect. I think I get that. But if that's true, then why use a coincident mic placement? And shouldn't the time differential diminish as you get further from the sound source?
Your first question has already been answered by someone else in a previous response.
The answer to the second question is that the time differential does NOT diminish the farther you get from the sound source because the distance between the mics does not diminish. Sound travels through air at a constant speed, therefore the time it takes to travel the distance between your two ears is the same whether you're 10 feet from a stage or 100.
What DOES diminish the farther you get from the stage is the stereo effect created by the time difference. Obviously, as you move farther away from two sound sources, these sources move closer and closer in angular spacing relative to the mics (the angle created by the PA speakers takes up less of the angle between the mics). Stated another way, the farther back you get, the left mic 'sees' the left PA speaker alot more towards the center of the soundfield, while the right mic 'sees' that same speaker in nearly the same place. Conversely, the closer you get the two mics 'see' these mics in VERY different angular locations relative to each other. From a distance, since the sound source is shoved towards the center of the soundfield, there's far less ability of the mics to create a stereo image. Close up, since a sound source is in a very different angular location in one mic versus the other, there's a large potential for angular location of the sound source relative to the two mics.
Now, the angle thing mystifies me. I know the ears stick out the sides of the head, not out front. But, why specifically 90 degrees or 110? Shouldn't the angle be dictated by the triangle created by the mic placement and the width of the sound source?
The answer to this question depends totally on what effect you want your recording to have. There are no rules. The important point is to start to understand the WHAT and WHY behind stereo imaging.
You've GOT to understand the basic concepts here in order to apply them. When we hear a recording, the stereo image is interpreted by our ears/brains by one of two principles; 1) differences in sound pressure, and 2) differences in timing. Most of the time, both principles are affecting how we interpret the stereo image, but in order to fully understand why stereo angle and spacing matter, you have to contemplate the differences separately. In the case of your question posed above, the reason the recording angle makes a difference is because differing angles contributes to stereo imaging due to diffs in sound pressure, but not differences in timing. It's only when you separate the mics, that timing difference comes into play.
So, let's elaborate on the concept of difference in sound pressure. If one mic is pointed to the right and the other is pointed 90 degrees away towards the left, it stands to reason that one mic will 'hear' a sound coming from one side with greater volume than the other. This volume difference is the difference in sound pressure we're talking about. If you could only hear the sound through one mic, there's no way to directionally locate where the sound is coming from. So, with two mics, the volume difference allows our brain to interpret the same sound to give us a sense of directionality...STEREO!
As you increase and decrease the incident angle of the mics, you're altering the dynamics of the relationship of direct (from the front of the mic) to reverberant (from the side of the mic) sound.
What exactly is a "sweet spot"?
I define the sweet spot simply as the best sounding spot in a room.
Next show you go to. If you can, walk around the room and pay attention to how the sound changes...particularly as you move forward or back. Pay attention also to the tonal balance between bass and treble tones. It's not always intuitive to locate the sweet spot in a venue and it can oftentimes change as a function of the volume level. If you've never paid attention to this, I think you'll be surprised how much the sound can change as you walk around a room...not just the obvious (you can hear L better on the L side of the room) but in terms of overall clarity of the source. It's not always best to be close to the stage either. There are TONS of venue's where I've found the sound WAY better back by the soundboard. This could be because of the way the sound engineer is mixing or it could just be room dynamics. Obviously, the goal for the audio people in the audience is to find and record from the sweet spot.