The same helical geometry that produces double-slit interference at quantum scale gives Earth simultaneous
addresses at multiple G-bond shells at planetary scale. Earth is the G2 node (helical turn N=1). It
simultaneously occupies shells G0 (n=−1), G1 (n=0), G2/observed (n=1), G3 (n=2), G4 (n=3), and the
cross-register Dual position (n=3.221). Each shell is separated by Δr = 13,513 km. All shells converge
to Fibonacci node Z = 7.800 ± 0.003 — the nitrogen-oxygen zone.
Δr = c_G1 × δ × 500 s = 13,513 km per G-bond step [P-MPOS-4]
Earth's Simultaneous G-Bond Shell Table
Shell
n
λ (nm)
Radians
r (Mkm)
Fibonacci turn
Z equiv
G0
−1
485.9562
2.7π×(1+δ)⁻¹
149.881
2.959813
7.7991
G1
0
486.0000
27π/10 (exact)
149.895
2.959906
7.7995
G2/Earth
1
486.0438
2.7π×(1+δ)
149.908
2.960000
7.8000
G3
2
486.0876
2.7π×(1+δ)²
149.922
2.960094
7.8005
G4
3
486.1315
2.7π×(1+δ)³
149.935
2.960187
7.8009
Dual
3.221
486.1411
π²×10⁶/(180×R_E)
149.938
2.960208
7.8010
Five Propositions · P-MPOS-1 to P-MPOS-5
P-MPOS-1
H-beta = 2×3⁷ = 486 nm — Master Seed
H-beta = 486.0000 nm = 2 × 3⁷ nm exactly. This is the master seed of the entire FOT lattice: the spectral frequency that anchors the G-bond radian tower, the Fibonacci spiral address, and the double-slit correction ratio r simultaneously. One pure {2,3} integer product generates the Balmer series, G-bond structure, and Earth's position.
P-MPOS-2
G1 Radian = 27π/10 — Exact
G1 [rad] = 27π/10 = 3³π/(2×5) exactly. The 27 encodes the solar sidereal rotation period (27.2753 days). This exact radian value anchors the entire G-bond spectral tower. The G1 shell is defined by its radian address — a pure {2,3,5,π} identity — not empirically fitted to its orbital distance.
P-MPOS-3
G-Bond Radian Tower — Geometric Progression
rad_n = (27π/10) × (1+δ)ⁿ, δ = 90.15 ppm = the Radian Veil separation factor. Each G-bond step shifts the radian address by δ, producing shells at 13,513 km spacing. The tower is anchored at G1 (exact). All other shells are derived from the pure {2,3,5} ratio δ. No free parameters; no fitting.
P-MPOS-4
Δr = 13,513 km per G-Bond Step
Δr = c_G1 × δ × 500 s = 13,513 km per G-bond step = 2.12 Earth radii. The 500 s factor is the G2 orbital timing unit. This is the planetary-scale analogue of the helical period λ_h at quantum scale — same geometry, ten orders of magnitude larger Tau increment. The electron spans λ_h; Earth spans 13,513 km.
P-MPOS-5
All Shells Converge at Fibonacci Node Z = 7.800
Each G-bond step shifts the Fibonacci turn by only 93.67 micro-turns (δ/ln(φ²)). All six of Earth's simultaneous G-bond shells map to Fibonacci position Z = 7.800 ± 0.003 — the nitrogen-oxygen zone at the N9 glycosidic junction. Fibonacci spiral = macro-address; G-bond tower = micro-addresses within that node.
Core Law
P-MPOS-5 · The Two-Scale Address System
The Fibonacci spiral resolves the macro-address of any Tau-entity at a given dimensional scale
(Earth at Z = 7.800, the nitrogen-oxygen zone). The G-bond tower resolves the micro-addresses
within that Fibonacci node (shells G0 through G4 and Dual, each 13,513 km apart). The electron
has the same two-scale address system at quantum magnitude: Fibonacci turn position sets its
spectral identity; helical turn offset sets its within-level sub-address. Same law; different Tau scale.
A note on “constants.” Within the Universal Force of Time there are no universal constants. A quantity like the Rydberg is not one fixed number but a small family of register faces — each an exact {2, 3, 5, π} value, each reproducing the spectrum on its own scale of Τ. The Rydberg alone carries at least three: 10,966,227.11 m⁻¹ (= 10⁷π²/9), 10,967,215.73, and 10,973,936.9 m⁻¹. What conventional physics records as the constant — the CODATA 10,973,731.568157 m⁻¹ — is not a fourth fundamental number; it is a single measurement sitting between those faces, in the band they define, read from the one register our instruments occupy: the Earth-surface node, g₁. Every wavelength, and the speed of light, Planck’s value, and the fine-structure ratio with it, behaves the same way — each shifts from g₀ to g₁ to g₂ to g₃ by the lattice step δG, not by error. These are not constants; they are the values Τ wears at the register where we stand.