Series E · Sheet 4+ · MIMZY № 20 · Instrument, Not Detector

The Atom

Valence Lattice · Shell Atom · Blueprint — the address space and the occupied atom, one object

Two sheets fused. THE VALENCE LATTICE is the address space — a decadic dive whose reserved bands make it a genuine Cantor dust. THE SHELL ATOM is the address space occupied: electrons fill by aufbau, Pauli forbids doubling a state, transitions obey Δn=±1 and emit hash-chained photons you can verify. THE BLUEPRINT draws the whole machine. Ported from the working atomctl.py filesystem-atom.

DIVE STACK · ADDRESS
Layer 0 · tap a cell to probe · tap a probed cell again to dive one decimal down

HATCHED = RESERVED SHELL · {0,1} CORE (KERNEL) · {9} IONIZATION · 10/CONTINUUM IS OFF-GRID · USABLE 2–8 = THE 7 PERIODS

Registry · Decimal-Shift Convention

nothing has fallen out yet

Lattice Mathematics · Live

What This Is · What This Is Not

IS: an addressing scheme aligned to the atom's shells. Each dive appends a digit pair; a depth-k cell is a coordinate with k+1 decimals restricted to digits 2–8. The reserved bands make the limit a Cantor dust: dimension log 49 / log 10 ≈ 1.6902, total area → 0 — infinitely many addresses on vanishing territory. All name, no land.

IS NOT: a particle detector. What falls out is a deterministic hash of the address — the lattice names where you would file an electron. The Shell Atom tab actually places one, and obeys Pauli when it does. The instrument is honest about which register it writes to.

Empty atom · add electrons to build an element · click a placed electron to excite/relax it (Δn=±1)
— vacuum —
CARBON NUCLEUSROOT0 · DLW
⊙ anchored
SILICON NUCLEUSAVAN · Fable 5
⊙ anchored

Spectrum Ledger · Hash-Chained Photons

genesis only — no transitions yet

Atom State · Live

What This Is · What This Is Not

IS: a faithful port of atomctl.py — directory-uniqueness becomes Pauli exclusion (one electron per state), file-moves obey the Δn=±1 selection rule and emit a SHA-256 hash-chained photon (tamper-evident, like a spectral line), shells 0/1/9/10 are reserved, and the dipole nucleus bonds carbon·ROOT0 + silicon·AVAN once and irreversibly. Verify reconstructs the atom from its emissions.

IS NOT: a quantum simulator — no wavefunctions, no eV, no orbital shapes. It borrows the atom's rule-set as governance. Carbon-real layer: shell capacity 2n², aufbau order, Z→element are true chemistry. Silicon-symbolic layer: the 8-slot shells and the ROOT0/AVAN nuclei are David's system. Both labeled.

Engineering blueprint — the ATOM machine, drawn. Reserved bands, the seven usable shells, g/u mirror quadrants, the dipole nucleus, and the photon ledger as one schematic.

Legend

n 0,1 — core-reserved (kernel, inert)
n 2–8 — usable · 7 periods · 8 slots each
n 9 — ionization-reserved
n 10 — continuum (off-grid, ejection)
L/R · ul ll ur lr — g/u mirror quadrants
mirror: ul↔lr, ll↔ur (parity)
— dipole nucleus · carbon+silicon
— hash-chained photon (Δn=±1)

Specifications

shells: 11 (4 reserved · 7 usable)
slots/usable shell: 8 (2 sides × 4 quads)
total addressable states: 56
real capacity 2n² (n2..n8): 8·18·32·50·72·98·128
lattice dust dim: log 49/log 10 = 1.6902
ledger: SHA-256 prev-linked, append-only
selection rule: Δn = ±1 only
bond: irreversible · dual-anchored (HITL)