The final ledger accepts only if all cited checks agree. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The audit cites every upstream solid-state check

The lattice length is 8 meters, the reciprocal spacing is one-half inverse meters, and the Bragg accepted bit is 1.

L=8 m,b=1/2 per m,bragg=1L=8\ \mathrm{m},\quad b=1/2\ \mathrm{per\ m},\quad bragg=1
Solid-state auditThe final ledger cites exact upstream source refs.accepted=1

The final accepted bit requires every cited source to agree

The phonon energy is 24 joules, the band has 8 slots, and the final accepted bit is 1.

Ephonon=24 J,slots=8,accepted=1E_{phonon}=24\ \mathrm{J},\quad slots=8,\quad accepted=1
Accepted auditA rejected Bragg stage cannot pass this audit.accepted=1