I'm not trying to confuse the issue... but I don't look to see which gets there first (ball or runner).
In this timing play I look for one thing (For me, it's easier that way). I follow the throw and watch it arrive. At that instant, I look to see where the runner is located. If the runner has arrived, I've got a safe call. Not arrived... obviously an out.
As for the differences in speed of sound and sight, I think engineering-wise you would have a tough time noting the difference. Sound - approximately 800 miles per hour. From 15 feet away, sound would require slightly less than 2/100th of a second to travel the distance. Light - 186,000 MPH. From any reasonable umpiring distance, instantaneous or zero. Ball speed - maybe 90 MPH. Time to travel from the front of the mitt to the pocket of the mitt (3 inches) not quite 2/100th of a second. Do you make the call when you see (light) the ball touch the front of the mitt or only when you hear (sound) it reach the pocket? Ohhh and there is that runner speed too - 20 MPH. I'm being facetious. Har-har.
I don't see ties. If you do, you're going to confuse yourself.
In my opinion, there is no room for ties. If you don't see the runner safe, call an out.
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"There are no superstar calls. We don't root for certain teams. We don't cheat. But sometimes we just miss calls." - Joe Crawford
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