Just what are you looking for?
Reverse engineering the NEC.
A good rule of thumb concerning the trip curve of a breaker is six times the rated current.
Your 15 amp breaker will carry 90 amps for 12 cycles without tripping.
Good. That's exactly what I'm looking for.
So the I-squared-T rating for this breaker is 8100 x 12/60 = 1620 amps-squared-seconds.
For one-half cycle at 60 Hz this should trip at 440A.
With a dead short at the end of 1/4 ohm worth of Romex the rms current for this half cycle would be 120/(1/4) = 480A.
Close enough.
If #14 AWG copper fuses at ~170A (in one second?) then its rating is about 30,000 (A^2)-sec. So the breaker interrupts the current before the wire gets anywhere near the melting point, maybe when the wire reaches 90°C or so. . .?
Thanks.