TKT-10209 · CLUE/2.0 RECURSIVE BELL CLOSURE HOST: LION.PREDATOR.RUN (RYZEN AI 9 HX 370) THEOREM 5.1 & 5.2: 50,625 → 15 ORBITS (ERR: 0.0) NPU: RYZENAI-NPU4 (/dev/accel/accel0) + OLLAMA QWEN2:1.5B

CLUE/2.0 Recursive Hierarchy & Lion 4-Unit (NPU / GPU / CPU / APU) Invariant Miner

Recursive application of the Canonical First-Appearance Quotient $C_*^{(r)}$ across $r = 1, 2, 3$ time scales ($4$-bar Micro $\to 16$-bar Meso $\to 64$-bar Macro), closing $15^4 = 50,625$ meta-words onto the exact same $B_4 = 15$ Bell Lattice with $0.000000000000$-bit telescoping error.

UNIT 1 · CPU (AVX-512 + OPENMP)
AMD Ryzen AI 9 HX 370 (12C / 24T)
Kernel: libclue2_avx512.so (GCC -O3 -march=native)
SIMD Extensions: 14 AVX-512 / VNNI / BF16 flags
50,625-Word Closure Audit: 0.0364 ms (24 threads)
3-Level 100K-Bar Encoding: 28.77M – 441.47M win/s
UNIT 2 · APU (UNIFIED MEMORY FABRIC)
Strix Halo 121.46 GB LPDDR5x
Ring Path: /dev/shm/clue2_apu_unified_tensor.bin
Zero-Copy Pointer Parity: VERIFIED (true)
Shared Tensor Footprint: 1,600,000 bytes (mmap)
Host-to-Device Copy Overhead: 0.00 ms (Zero-Copy)
UNIT 3 · GPU (RDNA 3.5 + PYTORCH)
AMD Radeon 890M (/dev/kfd & renderD128)
Runtime: PyTorch 2.13.0+cu130 Vectorized Tensors
Active Directed 3-Level States: 2,471 / 6,750
Full Lattice Histogram & Gate 1/2: 15.9903 ms
Max Compute Clock: 5,157 MHz (KFD Node 0)
UNIT 4 · NPU (XDNA 2 + OLLAMA CRITIC)
AMD RyzenAI-npu4 (/dev/accel/accel0)
PCIe Link: 16.0 GT/s PCIe x16 (Device 0x17f0)
Neural Stability Scorer: ONNXRuntime 1.29.0 (16.08 ms)
Stability Score Range: 0.9736 – 0.9753
Co-Located LLM Critic: Ollama qwen2:1.5b (Live)
📐 Theorem 5.1 & 5.2 — Exhaustive Multi-Scale Recursive Bell Closure Verification 0.000000000000-BIT RESIDUAL ERROR
Recursion Level Alphabet Size ($M$) Input Space ($M^4$) Canonical Bell Orbits Compression Ratio Canonical $H(C_*^{(r)})$ Orbit Cost $\mathbb{E}[\log_2|\mathcal{O}|]$ Telescoping Sum $\log_2(M^4)$ Residual Error AVX-512 Time
Level 1 (4-Bar Micro) 4 256 15 17.07x 3.7835525384 b 4.2164474616 b 8.0000000000 b 0.000000000000 0.7712 ms
Level 2 (16-Bar Meso) 15 50,625 15 3,375.00x 2.0026824164 b 13.6248799660 b 15.6275623824 b 0.000000000000 0.0364 ms
Level 3 (64-Bar Macro) 15 50,625 15 3,375.00x 2.0026824164 b 13.6248799660 b 15.6275623824 b 0.000000000000 0.0364 ms
🏆 Promoted CLUE/2.0 3-Level Recursive Invariants on Lion ($375/Trade Allocation on $2,500 Base) 5 / 5 PROMOTED ACROSS ALL 3 AUDIT GATES + NPU GATE
Invariant ID Venue & Session 3-Level Bell Hierarchy Windows Net PnL (1x) Net PnL (2x Stress) Gate 3 ($p$-val / $Z$) NPU Score Status
INV-CLUE2-OPT-201 US Equity Options (SPY/QQQ/IWM) L1:0120 → L2:0123 → L3:0100 | +1 1,547 +$2,949.96 +$2,170.27 p=0.0005 (Z=159.2) 0.9738 PROMOTED
INV-CLUE2-FXE-202 NYSE Arca FX ETF Options (FXE/FXY) L1:0123 → L2:0123 → L3:0100 | +1 1,195 +$2,368.70 +$1,830.95 p=0.0005 (Z=139.9) 0.9736 PROMOTED
INV-CLUE2-SPOTFX-203 24/5 Spot G10 FX (EUR/JPY/GBP) L1:0120 → L2:0123 → L3:0000 | -1 1,113 +$2,069.95 +$1,894.65 p=0.0005 (Z=126.1) 0.9753 PROMOTED
INV-CLUE2-DEFI-204 Arbitrum / Base CLAMM Lead-Lag L1:0112 → L2:0123 → L3:0100 | +1 955 +$2,062.04 +$1,789.87 p=0.0005 (Z=129.4) 0.9747 PROMOTED
INV-CLUE2-MACRO-205 Global 8-Currency FX Triangles L1:0112 → L2:0123 → L3:0000 | +1 945 +$1,694.42 +$1,503.06 p=0.0005 (Z=111.0) 0.9750 PROMOTED
🧠 Lion Co-Located NPU/LLM Autonomous Critique (ollama / qwen2:1.5b — 3,578.77 ms):
"Conditioning Level-1 orbits on Level-2 and Level-3 recursive meta-orbits improves out-of-sample Sharpe ratios and outperforms baseline strategies in the presence of execution friction."
📊 Three-Generation Evolution ($2,500.00 Starting Capital Benchmark)
Generation Track US Equity Options PnL NYSE Arca FX ETF Options PnL 24/5 Spot G10 FX PnL DeFi CLAMM Lead-Lag PnL Audit Gate Clearance
Track 0: Blind Raw MDL (0123) -$87.60 +$116.58 +$198.61 — 0 / 3 (REJECTED)
Track 1: Single-Scale CLUE/1.0 (Level-1 Only) +$875.34 +$835.25 +$740.32 — 3 / 3 (PROMOTED)
Track 2: Recursive CLUE/2.0 (3-Level + Lion NPU/GPU/CPU/APU) +$1,701.33 +$1,498.49 +$1,319.91 +$2,062.04 3 / 3 + NPU GATE