DYAS · the Dyad — duality as an object: two faces of one thing, held together

THE PARTICLE & ANTIPARTICLE ◧ 2D · ◍ 3D · ◆ 4D · ◐ shadow · 👶 TAP

Matter and energy are two forms of one thing (E=mc²). Give a photon enough energy near a nucleus and it turns into a PAIR — an electron and its antimatter twin, a positron. Let them meet again and they annihilate back into two photons. But there’s a toll: you need at least the mass-energy of both particles, or nothing happens. Slide the photon energy past the threshold and watch the pair wink into being.

◆ LIT▲ AMBER
◧ THE MEASURE · 2D
◍ ENERGY ↔ MATTER · 3D · light becomes a pair, and back
◆ THE FOURTH · 4D · a tesseract turns
◐ THE SHADOW · one dimension down
👶 THE TODDLER CORNER — one fat tap
photon energy
threshold 2mc²
1.022 MeV
pair made?
E ↔ MATTER

◆ LIT — exact / checkable

Mass is frozen energy: E=mc². A photon can convert into a particle–antiparticle pair (near a nucleus, to conserve momentum), but only if its energy meets the rest mass of BOTH: for an electron–positron pair the threshold is 2mₑc² = 1.022 MeV. Below it, nothing; above, a pair appears with the surplus as kinetic energy. Run it backwards and an electron meeting a positron annihilates into two 511 keV photons (the basis of PET scans). A fail-loud self-check throws unless a sub-threshold photon makes no pair and an above-threshold one does. ◆ real particle physics, node-verified.

▲ AMBER — the figure

The exact rest-mass threshold and E=mc² bookkeeping (electron–positron); a full treatment needs the nucleus for momentum and gives energy-dependent cross-sections — the 1.022 MeV threshold and matter↔energy conversion are exact.

DYAS: two, and yet one.  — the Dyad
David Lee Wise / ROOT0, with AVAN · DYAS — the Pythagorean Dyad