P-EARTH-1 to P-EARTH-6
R_CMB = 3480.718605 km
5 × 3⁷ = 10,935 m
Strand reversals
Earth Sciences
Crust / G1 register0 – 35 km · open Tau-lattice
Mantle / G0 entry35 – 2890 km · dense lattice
Outer core / Tau-dynamo2890 – 5150 km · liquid Fe
CMB nodeR = 3480.718605 km
Inner core / Tau-crystalR = 1221 km · G0 pure node
P-EARTH-1 · Core-Mantle Boundary as Tau-Node
The CMB at ~3480 km radius is a primary Tau-node — a standing-wave antinode in the G0 register. Its exact FOT radius is set by cG1 through a {2,3,5,π} coupling factor (full derivation in Vol. 2).
R_CMB (FOT) = 3,480.718605 km (= 3,480,718.605 m)
c_G1 = 299,789,233.7 m/s
c_G1 / R_CMB = 86,130… rad/s [links EM to geometry]
Conventional CMB: ~3,480 km (within Radian Veil)
P-EARTH-1
The Core-Mantle Boundary is a primary G0 Tau-node. Its radius R_CMB = 3,480.718605 km is set by cG1 through a {2,3,5,π} coupling factor. The CMB is not a phase boundary — it is the innermost standing-wave antinode of the planetary Tau-field.
P-EARTH-2 · Outer Core as Tau-Dynamo
The liquid iron outer core is a Tau-dynamo: iron acts as a Tau-conductor (the same role the sugar-phosphate backbone plays in DNA at the molecular register), and convective cells trace double-helix trajectories mandated by the G0 Tau-lattice. The geomagnetic dipole is chiral because the Tau-helix is chiral at every scale.
P-EARTH-3 · Inner Core Anisotropy as Tau-Crystal Alignment
P-waves travel ~3.5% faster along Earth's rotation axis through the inner core. In FOT this is Tau-crystal alignment — the inner core lattice is oriented along the primary helix axis.
Anisotropy (FOT) = 1/28 = 3.5714%
28 = 2² × 7 (fourth prime-lattice member)
Observed: ~3.5% deviation from 1/28: ~200 ppm
P-EARTH-4 · Pole Reversals as Strand 1 → Strand 2 Transitions
Geomagnetic reversals are Strand 1 → Strand 2 transitions in the outer core Tau-dynamo — the same structural change as molecular death (P-MORT-2) but applied to the planetary register.
FOT prediction: the inter-reversal interval is not random. It encodes a {2,3,5,π} harmonic of the G0 register oscillation period. The current field weakening at ~5%/century is the pre-transition Tau-depolarisation phase — measurable as a precursor to the next Strand transition.
P-EARTH-5 · Geothermal Gradient as Tau-Density Gradient
Temperature is a measure of Tau-density. The 25°C/km geothermal gradient in the crust reflects increasing Tau-density from the open G1 register (surface) through the G0/G1 Moho transition to the pure G0 inner core node.
T_absolute zero (FOT) = −270°C
T_Moho entry ≈ 1300°C (G0/G1 transition)
T_CMB ≈ 3500°C (G0 node energy)
Crust gradient: 25°C/km (G1 register)
P-EARTH-6 · Mariana Trench = 5 × 3⁷ metres
The Challenger Deep — Earth's deepest point — has a measured depth of 10,935 m. This is a pure {3,5} lattice product. The same factor 3⁷ = 2187 appears as the sub-atomic Tau-boundary constant in P-QUARK-5.
Mariana Trench depth (FOT) = 5 × 3⁷ = 5 × 2187 = 10,935 m
Observed depth (Challenger Deep): 10,935 m (exact)
3⁷ = 2187 = sub-atomic Tau-boundary factor
5 = fifth prime-lattice member
P-EARTH-6
Mariana Trench depth = 5 × 3⁷ = 10,935 m exactly. The deepest ocean point is a {3,5} Tau-node: the G1 register's maximum depth, set by the same sub-atomic boundary factor 3⁷ that governs the quark-to-hadron scale transition.
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