Brandon Schneider
f8554a3736
fix: braid_search.py QUBO/soliton from float to Q16_16 integer arithmetic
...
AGENTS.md §1.4 compliance: all internal computation now uses Q16_16 integers.
Float only at HiGHS API boundary and display statements.
- Q16_SCALE = 65536, _q16(), _q16_to_float(), _q16_signed()
- bracket_cost, crossing_penalty, build_qubo_matrix: all int
- soliton_search, qubo_optimize: Q16_16 temperature/energy
- 68/68 tests pass
2026-05-28 17:47:40 -05:00
Brandon Schneider
6f650be6ab
feat: dense Sidon sets from sum-product conjecture disproof
...
Mian-Chowla sequence replaces powers-of-2 as default:
- 8 slots: max 128 → 45 (65% reduction)
- 16 slots: max 32768 → 252 (99% reduction)
- All constructions verified as valid Sidon sets
Methods: 'powers_of_2' (old), 'greedy_optimal' (Mian-Chowla, default),
'algebraic' (number field construction for large n).
Based on Bloom-Sawin-Schildkraut-Zhelezov (2026) sum-product disproof.
2026-05-28 16:57:35 -05:00
Brandon Schneider
e0df130453
feat: 12 math enhancements — Q16 LUT, braid VCN encoder, FPGA Verilog, FFT, crypto
...
Pipeline:
- q16_lut_vcn.py: Q16_16 LUT generation + VCN frame encoding (8 ops)
- braid_vcn_encoder.py: Delta+RLE → RS ECC → ChaCha20 → VCN → MKV
- braid_search.py: Sidon set slots, soliton search, QUBO optimization
- test_braid_pipeline.py: 67 tests covering full round-trip
WebGPU/Scripts:
- braid_fft.wgsl: Cooley-Tukey radix-2 FFT on phase vectors
- reed_solomon_vcn.py: Reed-Solomon ECC for VCN frame data
- chacha20_braid.py: ChaCha20 encryption + key derivation
- polynomial_commitment.py: KZG scheme for receipt verification
Lean:
- BraidBitwiseODE.lean: XOR crossing, O(1) integration, 2 proved theorems
FPGA (Tang Nano 9K):
- q16_lut_core.v: 8-op arithmetic, 2-stage pipeline, BRAM reciprocal
- braid_crossing_core.v: 4-stage crossing residual, 7 Q16 instances
- Testbenches with edge cases + VCD dumps
2026-05-28 14:49:26 -05:00
