GW250114 ringdown as 16D braid trajectory:
- Signal: 10K samples, 5 QNM modes, 80KB raw
- Mapped to 8-strand braid in C^8 (16 real dimensions)
- Golden spiral contraction (phi^-1 per step) = energy dissipation
- Convergence to IR fixed point at step ~15
- Characteristic polynomial: degree 8, 9 coefficients
- Encoded as hachimoji DNA: BCZCCZZTA (9 bases = 27 bits)
- Compression: 583.9x (137 bytes → 80KB signal)
The 9 polynomial coefficients ARE the program.
The 8 strands ARE the tape.
The golden spiral IS the halting condition.
The coupling matrix IS the transition function.
The trajectory IS the signal (Turing machine output).
Braille/T9/hachimoji three-layer compressor:
- Layer 1: Braille LUT (dictionary substitution, 6-bit cells)
- Layer 2: T9 mapping (6-bit → 3-bit, KV cache disambiguation)
- Layer 3: Hachimoji (T9 keys = DNA bases, 8 keys = 8 bases)
- Lossless round-trip on all text types
- enwik8: 4.167 b/B (behind xz 2.326, behind PPM 3.088)
- The 64-cell Braille space is too small for 256 byte values
The Emoji Machine connection:
- Emoji LUT: 65536 self-referential entries (output = next state = input)
- Braille: 6-bit projection of emoji space
- T9: 3-bit projection of Braille
- Hachimoji: 3-bit physical encoding = T9 keys
- emojiFilter = GCCL Admit gate (rejects adversarial sequences)
- Self-referential property = Kolmogorov fixed point (program = output)
- Phase-locked coordinate system = QNM frequencies in GW ringdown
The weird machine: Braille was designed for touch reading.
Using it as a Turing machine tape on spectral data is unintended
computation through an accessibility substrate. The 6-bit cell is
a natural quantization for continuous signals (GW ringdown: 583.9x
compression), but too small for discrete text (4.167 b/B on enwik8).
