My understanding is that the biggest reason for PADI's development of new tables was that the Navy tables, while liberal on the first dive, were extremely conservative for repetitive diving. This was based on a number of assumptions, including the choice of controlling compartment, and that the worst case was diving after a mandatory decompression dive.
PADI's tables were slightly more conservative on the initial dive, but far more liberal on repetitive dives. They used a different controlling compartment, and did not assume a dive beyond NDLs for the first dive.
I again highly recommend the books I mentioned. If you read them, you begin to realize how murky decompression is, and how far from revealed truth any tables or computer algorithms really are.
PADI's tables were slightly more conservative on the initial dive, but far more liberal on repetitive dives. They used a different controlling compartment, and did not assume a dive beyond NDLs for the first dive.
I again highly recommend the books I mentioned. If you read them, you begin to realize how murky decompression is, and how far from revealed truth any tables or computer algorithms really are.