Turn One of One Helix

A colour, a planet, the day, the quantum of action, oxygen and the Earth's crust — all one turn up the same helix.

r = 5⁶/(2⁶·3⁵) Moho × r = green/yellow radius 86400 × r = 2·5⁸/3² turn 2 ÷ 4 = IE × e

The Helical Turn

The helix has a ground state, 864 = 2⁵·3³ — the day's gear — and a single helical gear. One turn of the helix is one multiplication by r. Because r carries no π, a turn never changes a value's kind.

r = 1.004693930041152263374486 (5⁶/(2⁶·3⁵))
turn 0: 864 · turn 1: 868.055555555555555555555555556 (5⁶/18) · turn 2: 872.130147605166895290352080476 (5¹²/(2⁷·3⁷))

The Moho Carried One Turn Is the Green/Yellow Radius

6366.19772367581343075535053490 × r = 6396.08021041889048711113375179 (5¹⁰/(2·3⁵·π))
green/yellow radius 2r/π = 0.639608021041889048711113375179 (5⁶/(2⁵·3⁵·π))
radius ÷ r = [5⁶/(2⁵·3⁵·π)] × [2⁶·3⁵/5⁶] = 2/π → at its decade, 20000/π, the Moho

The colour boundary between green and yellow and the Earth's crust–mantle boundary are one address, one turn from the ground.

The Day at Turn One

86400 × r = 86805.5555555555555555555555556 s (2·5⁸/3²)
Planck: 6.63145596216230565703682347386 × r = 6.66258355251967759074076432478 (5⁹/(2⁷·3⁶·π))
oxygen: 5⁸/(2⁵·3⁵·π) = 50r/π = 15.9902005260472262177778343795

Seven Objects, One Turn

A colour boundary, a planet, the Earth's day, the quantum of action, oxygen and the Earth's crust all stand on one turn of one helix: the red boundary and Mercury's orbit at 868.055555555555555555555555556, the solar day at 86805.5555555555555555555555556 s, the Planck value, oxygen, the Moho and the green/yellow radius. Each is printed in the book across five chapters. The list is new.

Green/Yellow Carries the Turn Both Ways

its radian 10/r = 9.95328 (×10⁵ = 995328 = 2¹²·3⁵) — one turn down
its radius 2r/π = 0.639608021041889048711113375179 — one turn up

It is the only boundary standing on both rungs at once.

Turns Zero and Two: the Proton's Ring

turn 0: f₂₁ = 5⁸·π/864 = 1420.35258137559373122045147175 MHz
turn 2: ¼ × 864 × r² = IE_G2 × e = 218.032536901291723822588020119 × 10⁻²⁰ J

Turn zero carries the proton and the twenty-one centimetre line, turn one the census of seven, turn two hydrogen's ionisation energy in joules — three consecutive rungs of one helix. See The Flip.

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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 — here a single helical gear carries a colour, a day, the quantum of action, oxygen and the Earth's crust to the same turn.

Nothing on this page was pulled, attracted or held down. There is one substance — time — flowing from the sparse toward the dense, and a colour, a day and the crust of the Earth are one turn of its helix. 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 →