URB #494 derived the confirmation ceiling +2 = (√2) ² from the generators √2, i alone. The natural question follows immediately: does the refutation floor −3 have an equally rigorous derivation? **Answer: yes. ** Brandon's intuition was precisely correct. The −3 threshold is derived from *both* primary generators: **−3 = − ( (√2) ² + ln (e) ) = − (2 + 1) **. The first term (√2) ² = 2 is the confirmation ceiling already derived — the algebraic floor. The second term ln (e) = 1 is the contribution of e — the natural unit of analytical extension. The full PD scale is now generator-derived at both extremes:
Brandon Charles Emerick (Tue,) studied this question.