Hi,
Nice shiny toys, I'm sure it was a treat for a 9-year-old!

I'm not quite familiar with the cartridge-related terms, but looking at Tony Williams' "Rapid Fire", the 0.60" cartridge certainly looks like the bigger and fatter brother of the 0.50" cartridge!
Tony also points out that the US pre-war developed a 23 x 139 mm cartridge and four different cannon prototype designs for air combat purposes. Somehow, I had always assumed that the 23 mm cannon specified for some pre-war aircraft would be imported Madsen guns, but according to "Rapid Fire", these used a less powerful 23 x 106 mm cartridge and were a disappointment in testing done in 1937, so I was obviously wrong in that assumption.
Had the US-designed 23 x 139 cannon worked out, they would probably have been a good choice for the P-47 too. However, I haven't checked Chinn's "Machine Guns" yet, I figure he might have something on these experimental guns.
Regards,
Henning (HoHun)