I always thought there was a connection between geometry and the math and physical constants. Once I was thinking about Einstein's equivalence principle between gravity and acceleration and his elevator-in-space argument. He claimed that there is no experiment that the man in the elevator could do to determine if he was in a gravity field or accelerating rocket. It occurred to me that all he had to do was wait because the rocket could not accelerate at 9.81 m/s forever. So I did the math lightspeed/acceleration of gravity = 30559883.59 sec = 353.7023 days for 86,400 sec/day or 96.9% of a year to get to c. Just a coincidence, they say.