§ alphalayer · draft 1

The Semantic Physics of Ten

AlphaLayer defines meaning; the Ten Emulator defines behaviour. Below is a condensed companion to Draft 1.

§ 1

Why Ten matters

Truth is rarely one-dimensional. Decisions feel right, then wrong. Intentions diverge from outcomes. Contradictions appear in everyday reasoning. Ten is a practical model of how truth behaves in real systems — a three-layer answer instead of a single bit.
§ 2

Three layers of truth

  • Goal — what we intend or desire.
  • Immediate — what seems true right now (short term, local).
  • Stabilised — what remains after things settle (long term, global).
§ 3

Digits I / O / A / E

Laegna uses four digits per band, arranged as two half-bits (a Den). A single Ten is three Dens: User, Short, Long. The diagonal format collapses into a base-4 horizontal-vertical digit:
IO
I
IA
O
EO
A
EA
E
§ 4

The consistency game

Short-term depends on long-term output; long-term depends on short-term output. The machine hunts a fixed point where both are simultaneously satisfied. This is the AlphaLayer duality of cause-entropy and goal-entropy made executable.
§ 5

Colour semantics

Colour encodes four axes at once: local/global, success/failure, finite/infinite, cause/goal.
Green
short · true
Red
short · false
Blue
long · true
Yellow
long · false
§ 6

Unknown & partial

A value may be present, absent, or fractally implied. The machine tolerates unknown inputs, propagates partial states, and — when everything is unknown — displays black: the machine is closed.
§ 7

Ontology · Algebra · Execution

AlphaLayer gives ontology (number magic). Laegna math gives algebra (operations). Ten Emulator gives execution — the first Laegna logic circuit.