blimey where's Frankspop when you need him!
1. What's changed in bat making "over time" that results in bats that appear to be the same weight having better rebound in the newer bats?
Well the Lekka is actually a well made UK cricket bat so the difference is probably in the pressing. You could probably get some bats made now that perform that same as the olders one it is just down to what you pickup and test with
2. Does the state of an older bat change throughout it's life, even with little use, such that its rebound would worsen over its life?
Yes and no, Talisman gave a decent answer for this.... Over time the bat will either pickup moisture of lose moisture if it isn't oiled properly. This variation will effect the willow by expanding and contracting the vessel - they will act like a sponge on the gaining mositure and the opposite for losing moisture both will will weaken the bat. This will
3. What is a repeatable experiemtn that could be created to deliver an empirical data set to prove any hypothesis in these cases?
Ummm yep you can, I'm doing some impact anaylsis modeling in the next week or so which involves loads of stuff [data inputs] eg. elasticity of willow, density etc. But for a home experiment suspend the handle as per your grip put a measuring stick behind it and bounce a ball a from a fixed height on the middle of the bats you are testing The ball rebound will give you the middles *ping* on all the bats.