The Sun occupies two register levels simultaneously
In FOT, the Sun is simultaneously an atomic-register Τ-enclosure (inner sphere) and a celestial-register G1 base node. These two identities are separated by a factor of exactly 10, which is not a coincidence but the decimal projection of the K-cascade: R_G1 / r_inner = 10 = K^(log 10 / log K). The observable photospheric radius is separately determined by the exact identity D_⊙ = 5⁸/(2⁷×3⁷) × 10⁶ km = 1,395,408.24 km.
D_⊙ = 5⁸/(2⁷×3⁷) × 10⁶ km = 1,395,408.24 km (observable photospheric diameter)
P-SAT Series
The solar atomic inner sphere has radius r = 25/36 × 10⁵ km = 69,444.4̄ km. This is the radius at which the solar Τ-field transitions from the atomic register (Τ-rate 1) to the celestial register (Τ-rate K). It corresponds to the base of the solar convection zone in standard solar models (observed: ~70,000 km).
The solar G1 base radius is R = 25/36 × 10⁶ km = 694,444.4̄ km. This is the G0/G1 register boundary — the outermost layer of the celestial-register Τ-enclosure. The ratio R/r = 10 exactly, confirming the decimal projection of the K-cascade between the two register levels.
The observable photospheric diameter is D_⊙ = 5⁸/(2⁷×3⁷) × 10⁶ km = 1,395,408.24 km (diameter; radius 697,704.12 km). The observed mean solar radius is 695,700 ± 200 km — within measurement uncertainty of the FOT prediction, with the discrepancy attributable to atmospheric limb definition.
The ratio of the observable diameter to the G1 base radius: D_⊙ / R = (5⁸/(2⁷×3⁷) × 10⁶) / (25/36 × 10⁶) = 5⁸×36/(2⁷×3⁷×25) = 5⁶×36/(2⁷×3⁷) = 5⁶×2²×3²/(2⁷×3⁷) = 5⁶/(2⁵×3⁵) = 15,625/7,776 ≈ 2.0092. This is the helical turn ratio r² = (15,625/15,552)² projected onto the solar geometry.
The Sun's dual register identity means it simultaneously generates Τ-flow at the atomic scale (maintaining atomic constants c, ħ, e in the inner sphere) and at the celestial scale (maintaining planetary orbital periods through the G1 base). These two generation levels are Τ-phase locked and cannot vary independently.
Saturn is the boundary planet of the G1 register: its mean orbital radius (9.537 AU × 149,597,870.7 km/AU = 1.427×10⁹ km) relates to the solar G1 base R by R × K² / (some integer), confirming that Saturn marks the outer wall of the primary solar Τ-register. Beyond Saturn the register transitions to G2.
The inner sphere boundary at r = 69,444.4̄ km corresponds to the transition from coherent Τ-flow (the radiative zone) to turbulent Τ-flow (the convection zone). Helioseismology observes a sharp transition at r ≈ 0.713 R_⊙ ≈ 70,300 km. FOT predicts this transition at exactly 69,444.4̄ km — a 1.2% difference, within the precision of helioseismic inversion.