I am totally convinced that the ancients knew and worked with the inch. The purpose of my article was to offer a possible means by which the ancients could have found the inch whilst also seeking a consistent, reliable and replicable unit of measure.<<
I get ya. I have to say I found your article interesting and informative. The pendulum argument is a seductive one, I just feel it is somewhat redundant with regard to variants of the foot, rather than the foot itself. Seeing as the foot variants can be explained by rational fractions deriving from the foot.
Neal relates the inch to the Giza cubit via a circle with circumference 129.6 inches (3.6 x 36), whereby using pi as 22/7 we get a radius equal to one royal cubit. I believe there is still a great mystery as to how the foot is precisely calibrated with time. Neal himself has been unable to uncover this link, though he is well aware of the pendulum argument. In his book "All Done With Mirrors" he does state though that the solution could well involve gravity and the inverse square law.
As above, so below!