Great discussion on this topic.
Regarding the physics, it does get a little complicated but at the risk of simplicity, here goes:
The momentum (p), created by the ball is dependent on the ball's mass (m) and its velocity (v). Momentum is calculated by the formula p= mv.
Comparing the 2 balls, it is important to understand that if the bowler does not apply
any force throughout the swing cycle, but instead, relies on pure gravity, then both
balls will essentially travel down the lane at the same speed. Frictional forces can, but not always, cause the heavier ball to travel a tad slower, but the heavier ball
will also have more momentum, due to its increased mass. So, if we plug in some numbers we can see that the heavier ball will generate more momentum:
p=mv m=14# & v= 20ft/sec (an arbitrary velocity)
p= 14 x 20= 280 lb-ft/sec
p= mv m= 15# & v= 20 ft/sec
p=15x20=300lb-ft/sec
However, in determining a ball's hitting power, several other factors must be considered. These include the ball's entry angle, revolutions created by the hand,
core design, pin, ball and kickback coefficients of restitution (their "springiness").
All of these factors are indeed, affected by ball weight when it come to maximizing pin action. Taken together, there is an optimum quantity for each of these factors that will maximize pin carry. The math gets very very detailed here and depending on how each of these numbers play out, will determine which ball weight will maximize carry.
Again, at the risk of simplicity, a bowler who can accelerate through their release and who has the longest "time" span between when their thumb releases and when their fingers do, will IN GENERAL, benefit by going to a somewhat lighter ball, if as a result, it creates increased entry angle. Power players will benefit most here.
On the other hand, for those who, by virtue of their release style cannot generate
more "revs" in this fashion, they will almost always benefit by going with a heavier ball.
I fall squarely into this category. I dropped from 16# to 15# a while back and there is no disputing the fact that I had better "carry" with the 16# ball. Age necessitated
the change but if it had not, I would still be throwing 16#.