The Unification of the Six Domains

Hydrogen's ionisation energy, the hydrogen spectrum, the Fraunhofer lines, the periodic table, the twenty-one centimetre line and the DNA helix — one field read on six clocks, and the six are three.

ionisation = weight × 13.5 F line × 0.0279936 = ionisation the volt is not a constant 104 pages · 30 roads · every formula number-first

Six Departments, One Object

An ionisation energy belongs to atomic physics, a spectral line to spectroscopy, a dark line in sunlight to astrophysics, an atomic weight to chemistry, the twenty-one centimetre line to radio astronomy and the double helix to molecular biology. The Universal Force of Time treats all six as one field, read on six clocks, and this paper gives the equations that carry a value from any one of them to any other — each written out in full, worked forwards and backwards, and verified to forty-four digits.

FORMULA E1 — THE WEIGHT TO THE ENERGY
ionisation energy = atomic weight × 13.5 (3³/2)
1.007860451037484037 × 13.5 = 13.606116089006034500 eV

The Six Are Three

Read together, four of the six stand at the same π-degree: the ionisation energy, the Balmer limit, the Fraunhofer F line and hydrogen's weight. Every road between those four is a relabelling, not a journey. The DNA helix stands one whole dimension above them, and the twenty-one centimetre line one degree above DNA.

FORMULA S1 — A DARK LINE IN SUNLIGHT TO HYDROGEN'S IONISATION
486.0438131932311135287 nm × 0.0279936 = 13.60611608900603449968 eV
the gear is 3⁷/5⁷ — no π, because the two never leave the register

The paper gives all thirty roads between the six domains, number first: twelve relabellings inside the register and eighteen crossings, each with the number of π-degrees it travels — and the control that shows how much of the result could have been chance, and the ceiling that could not.

One gear, five readings. The same 0.0279936, turned once (× π), is Mercury's G1 orbit, 87.9444881075 days; counted in hours (× 24) it is the twenty-one centimetre line, 21.1066771458 cm; and turned once and shared six ways (× π ÷ 6) it is the gear that carries an energy into a mass, 14657.4146845885 — at metres, the pyramid's mass-energy face, 146.574146845885 m.

The Volt Is Not a Constant

Hydrogen's ionisation energy has four faces, from 13.59655705242090231744 to 13.60611608900603449968 eV, spanning exactly one 703 step. Hold the joule fixed and each face needs its own volt — each one named step from the next, and each one an Earth: read as a circumference, its radius and year are the Earth's own.

faceionisation (eV)the year its volt gives (days)
G213.60611608900603449968365.317021958743 — the G2 year
G113.6048896365.349955508689 — the G3 year; its skin is the electron's register
face 213.59778279024274506722365.540903744050 — on to the A-DNA register
face 113.59655705242090231744365.573857477074 — × 3 is the Rydberg on Face A

There are no universal constants in this framework, only dimensional ones. The volt is set by the node it is read from, and hydrogen's ionisation energy, read through it, takes the face that node requires.

What the Paper Gives

The ground, built for a reader who has never met the framework; the six domains one at a time; the equations E1 to E8 that join them; ten worked examples end to end; the six read together as three; what is not settled, printed rather than smoothed; the conditions that would falsify it; and an appendix that lets any reader rebuild every number.

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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 →