The Outer Planet Tower
Saturn, Neptune, Pluto — exact {2,3,5,π} forms
Saturn sidereal rotation = 3888π² s = 10.674 hours. Neptune = 18,432π s = 16.103 hours. Pluto = 279,936π²/5 s = 6.387 days. All confirmed to sub-1-ppm after G-bond register correction.
P-SID-1,2,3
Saturn: 2⁴×3⁵×π² s | Neptune: 2¹¹×3²×π s | Pluto: 3¹²×4×π²/5 s
π-class increases outward: inner planets π⁰; Saturn/Pluto π²; Neptune/Uranus π¹Registered Propositions
Key Results
P-SID-1
Saturn sidereal = 3888π² s = 2⁴×3⁵×π². The {2,3} factor and π² (radian-squared orbital domain).
P-SID-2
Neptune sidereal = 18,432π s = 2¹¹×3²×π. Neptune carries a single π factor.
P-SID-3
Pluto sidereal = 279,936π²/5 s. Pluto's 5-in-denominator marks the trans-Neptune α-threshold boundary.
P-SID-6
π-class pattern: inner planets π⁰; Saturn and Pluto π²; Neptune and Uranus π¹. Class increases outward with Fibonacci turn, reflecting dimensional flow gradient.
Cross-references: WN-GRAV-059–065 | Vol3 Section 101 | P-FOTS-1 | P-VLSC-4