Dirac's Large-Numbers Hypothesis: The Coincidence Promoted to Law

Dirac saw two dimensionless numbers near 10⁴⁰. He postulated that they are connected by law at every epoch. That postulate is the whole engine of the 1937 and 1938 papers. It is not a derivation. I priced it. The two numbers do not agree closely. They agree within a factor of 20.4 today. The law then forces a rate of change in G that the modern bounds exclude by 2.86 to 3.86 orders of magnitude. It also forces continuous creation with no creating dynamics stated. Deficit: 1 law postulated, 2 forced consequences, 0 derivations. Verdict: a reason was found, and the question remains open (not solved). This paper does not address the vacuum catastrophe. That problem remains unsolved: no derivation in this program has produced the observed vacuum energy.