THE CHAIN
One command. Any DNA. The whole OS runs it.
Raw sequence → gate analysis → integer fold → GC/AT refinery → 0D–16D river → pentagram compile → geometric grammar → disc bundle. Seven stages. Zero floating point. One system.
INGEST
Raw DNA / RNA / Protein
Upload any biological sequence — FASTA, raw nucleotides, protein. Auto-detects DNA vs RNA vs protein. Translates DNA/RNA → protein via the standard genetic code, embedded as an integer lookup table. No external libraries.
FOLD
π-369 Harmonic Force + φ Golden Relaxation
The chain folds itself via harmonic coupling (α₃=1.0, α₆=0.5, α₉=0.25) and golden-ratio energy minimisation. Each gate contributes its φ-value to a cumulative energy landscape — the protein settles to its natural shape through Banach contraction.
REFINE
GC Skeleton + AT Expression Layer
Separates computation from expression. The protein's ISA classifies by GC content: high-GC codons are the compute skeleton (HOLD, BREATHE, STEP), AT-biased codons are the expressive overlay (RESONATE, STOP). Strips the filler, distills to clean DNA.
RIVER
0D → 16D, Everything Speaking ReL
Every symbol crosses all 17 dimensions — POINT, LINE, TRIANGLE, SQUARE, DNA, PENTAGRAM, BRAIN, nine HYPERCUBE shells, CLOSURE. Each dimension receives a word, does its geometric work, and speaks a word to the next. One 207-word alphabet, top to bottom.
PENTAGRAM
Discrete → Continuous Banach Compiler
The Layer-5 pass: discrete board (GTAC strand) → continuous fold. Banach contraction T(x) = φ⁻²·x + φ⁻¹·target lifts discrete residues into a continuous trajectory. The winding between points — not the points themselves — is the output.
GRAMMAR
Geometric Decomposition of the Language
ARC is a language. Not 800 sentences — one grammar, 800 samples. Segment objects, compute property vectors (color, area, bbox, centroid, compactness, border-touch), match input→output objects by shape+overlap, extract the geometric DELTA.
DISC
The Complete Game Translation
Each game translates to a disc bundle: INPUT disc (the raw grid as a strand), SCAFFOLD (the structural skeleton), FAMILY (which grammar category), TRAJECTORY (the solve path), GOAL (the target state). Strand + seal + φ-alignment + shape-ID.
PIPELINE THROUGHPUT — IF IT AIN'T FAST, IT AIN'T RIGHT
THE DOUBLE HELIX
Sense strand in → antisense complement written → resonate → the output falls out
ONE ALPHABET. TOP TO BOTTOM.
The CONDUCTOR manages the continuous field. The TRANSLATOR commits that field into discrete symbols — the 207-word ReL alphabet. Every dimension crosses the same boundary the same way: receive a symbol, do geometric work, speak a symbol. One system.