Read the equation
The source associates δ=0.013618 with approximately 1/φ³. These numbers are not close: 1/φ³≈0.2360679775. Treating the decimal as the actual increment gives a rational rotation with exact period 500000 in ideal arithmetic, so both the approximation and an aperiodicity claim require correction.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| delta | Declared decimal phase increment |
| phi | Golden ratio |
How it works
Compute φ=(1+√5)/2.
Compute φ^(−3)≈0.2360679775 and compare it with the declared decimal 0.013618; the approximation fails.
If the decimal is used as the exact turn increment, reduce it to 6809/500000. Coprimality gives period 500000 in ideal modular arithmetic.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
Soft ceiling Phase Increment δ = 0.013618 ≈ 1/φ³ DNA helix timing Decay Rate ρ = 1/(1+φ) = 0.382
Exact original notation
δ = 0.013618 ≈ 1/φ³