The Grain, the Pixel, and the Tick

The relation is one line: H·τ = ℓ — the growth per tick equals the leak per tick.

What fixes the tick is the author’s grain ruling: the grain is ε, and the corpus reads the grain as the electron. The tick is therefore the electron’s own time.

Here one ruling is made and named, because the electron has two: the reduced Compton time, ħ/(mₑc²) ≈ 1.29 × 10⁻²¹ s, and the unreduced, h/(mₑc²), 2π longer. The tick is the reduced one — the radian of the loop, the corpus’s standing unit for the electron’s time, the one §8’s standing wave rocks in and this section’s photon closes in 2π of. That is a ruling, graded so. It is the largest single lever in §9 and the reader should see it: on the unreduced time the chain would give 86.9 billion years.

The pixel is defined under C: one spatial grain per tick, ξ = c·τ — one tick to cross one pixel, the top speed information propagates. It does no work in the chain.

The coin, an identity. The pair-creation photon — 511 keV, the photon that can become the grain — has a period of exactly 2π ticks: one closed loop. This is an identity under the tick’s definition: a photon of energy mₑc² has period h/(mₑc²) = 2π·ħ/(mₑc²) by construction, and a photon of period one bare tick sits at 2π·mₑc² = 3.21 MeV for the same reason. It carries no information beyond the definition. It is recorded because the loop factor is the family’s — the photon that can become the grain is the tick taken around the circle — and it is caged, not offered.