Recent work done on the implications and causes of
the time-varying fine structure constant a
investigate the possible relationships that a
has with black hole entropy, the gravitational constant G,
the speed of light c, quantum charge e, electron and
proton masses and the Equivalence Principle. Here we look at
a in terms of pure geometry and at
face value interpret what its evolution implies in the simplest
terms: Decay of the Bohr radius, though very slowly.
Kepler’s laws of planetary motion and the Titus-Bode
formula are results of observational data on the solar system. The
latter points towards a definite geometry that governs the location
of orbits of the planets and the former shows a definite geometric
conservation law at work. Observational data [1] once again reveals
the presence of a phenomenological but definite working of the solar
system that fixes the locations of planetary orbits in pairs across
the asteroid belt.