The Moho Discontinuity — Exact Derivation

The boundary between the Earth's crust and mantle is the planet's equalisation shell — and from its radius come the fine structure constant, hydrogen's ruler, the year the stars mark, the sidereal day and a colour of light

Moho 6366.1977236758 km (20000/π) circumference 40,000 km exactly × veil = 3600/π² = 364.7562611 13 pages · 8 plates

The Moho as an address

The crust–mantle boundary sits at twenty thousand over π kilometres from the centre of the Earth, and so its circumference is forty thousand kilometres exactly. The Earth's dimensional mass, 1875/π, divided by 9375 is the same shell: the node reports its own radius.

THE MOHO
6366.1977236758 km (20000/π = 2⁵·5⁴/π) · × 2π = 40,000 km

Through the veil, and the seam

Read in degrees, the Moho is the base unit of hydrogen's spectrum; doubled, it is α. Hydrogen's Balmer-α line run off the two faces of its constant returns the Moho's top and bottom: a seam one G-bond step thick.

THE VEIL AND THE SEAM
Moho × 180/π → 364.7562611 (3600/π²) · 1/α = 137.0778389
seam = Moho × δG/(1+δG) = 573.8648 m

One helical turn up

The shell one helical turn above the Moho is 6396.0802 km. The 29.88 km gap between them is the year the stars mark, 365.2566126366; the radius as a mass is light on G2, and squared through the hours it is the sidereal day. The volume inside the Moho, through the veil, is the orange/red boundary of the spectrum, 619.2294611 nm.

Questions This Paper Answers

What is the Moho discontinuity?

The boundary between the Earth's crust and mantle. In the Universal Force of Time it is the Earth's equalisation shell, at 20000/π = 6366.1977 km.

Why is the Moho circumference 40,000 km?

Because its radius is 20000/π: carried once round the circle, the π cancels and leaves 40,000 km exactly.

How is the Moho linked to the fine structure constant?

The Moho read through the veil is 3600/π², the base unit of hydrogen's spectrum; doubled it is α, so 1/α = 137.0778389.

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A note on the numbers. Every value here is given at full precision, because the precision is the evidence. A quantity truly on the {2,3,5,π} lattice does not approximate a lattice form; it is one. Where a value has not been read onto the lattice we say so rather than rounding until it appears to fit. And a number in this framework is not a measurement of one thing: it is one address that may surface as a period, a frequency, a radius, an energy or a proportion, depending only on the register in which it is read — the same register carries Mercury's orbit and the radio line of hydrogen.

Nothing on this page was pulled, attracted or held down. There is one substance — time — flowing from the sparse toward the dense, and the radio whisper of cold hydrogen and the slow turning of Mercury are one thread of its pattern. If it stirred your curiosity, the whole weave is waiting: the planets, the atom, light, life and number, all carried by the same single force.

Read the whole theory of the Universal Force of Time →