Ch.31 — Hardware-Numerics Empirical Bridge
Master: trios#380 v2.3 GOLDEN STRAND
Part: VI — HARDWARE-NUMERICS STRAND (TIER-1)
Words: 800 · Priority: 🔴 P0 · Owner: bench-agent
Source files: fpga/Makefile, regression suite
🎯 Scope (FROZEN, academic tone)
§31.1 Methodology: 10⁵ random GF16/TF3 ops, compare CPU (Zig emit) vs FPGA (Verilog emit) bit-identically. §31.2 Cycle counts measured on iCEstick HX1K @ 12MHz: GFADD = X cycles, GFMUL = Y cycles, TRADD = Z cycles, TEMPORALTRITQUERY = W cycles. §31.3 Throughput claim: K ops/sec on iCE40 vs M ops/sec on x86_64 baseline (Apple M1 Pro). §31.4 LUT-efficiency: ops-per-LUT comparison vs FP16 ALU baseline (cite IBM/Microsoft FPGA float papers). §31.5 Honest limitation: simulation cycles, not in-silicon. ASIC tape-out is future work.
Renaming for tex (repo paths kept for reproducibility):
- "Sacred Core" → "Period-Locked Runtime Monitor"
- "KOSCHEI IS OS" → "KOSCHEI φ-Numeric Coprocessor"
- "Eternal" → "φ-period"
- NO: "OS of time itself", "ABSOLUTE INFINITY", "post-singularity"
- Investor Deck / $5M Seed / KOSHEY_V9_OMEGA / v10 ABSOLUTE INFINITY → drop entirely
🔑 Falsifiable claims / formulas
- N=10⁵ random ops, bit-identical CPU vs FPGA
- Cycle counts per opcode (iCE40 @ 12MHz)
- Throughput ops/sec table
- LUT-efficiency vs FP16 baseline
- All measurements: yosys/icarus simulation, NOT silicon
📦 Deliverables
paper/sections/31_hardwarenumerics_empirical_bridge.tex- Optional figures / tables per chapter
✅ Definition of Done (NeurIPS + Reviewer-2 mitigation)
🤖 ONE SHOT directive
A: take Markdown draft from §"Draft" (when operator types наполни Ch.31),
convert to LaTeX in target path, ensure compile via tectonic, NO sacred/eternal
rhetoric, open PR Closes #<this>, hard deadline per priority.
phi^2 + phi^-2 = 3 · GOLDEN STRAND · NEVER STOP 🌻
Ch.31 — Hardware-Numerics Empirical Bridge
Master: trios#380 v2.3 GOLDEN STRAND
Part: VI — HARDWARE-NUMERICS STRAND (TIER-1)
Words: 800 · Priority: 🔴 P0 · Owner: bench-agent
Source files:
fpga/Makefile, regression suite🎯 Scope (FROZEN, academic tone)
§31.1 Methodology: 10⁵ random GF16/TF3 ops, compare CPU (Zig emit) vs FPGA (Verilog emit) bit-identically. §31.2 Cycle counts measured on iCEstick HX1K @ 12MHz: GFADD = X cycles, GFMUL = Y cycles, TRADD = Z cycles, TEMPORALTRITQUERY = W cycles. §31.3 Throughput claim: K ops/sec on iCE40 vs M ops/sec on x86_64 baseline (Apple M1 Pro). §31.4 LUT-efficiency: ops-per-LUT comparison vs FP16 ALU baseline (cite IBM/Microsoft FPGA float papers). §31.5 Honest limitation: simulation cycles, not in-silicon. ASIC tape-out is future work.
Renaming for tex (repo paths kept for reproducibility):
🔑 Falsifiable claims / formulas
📦 Deliverables
paper/sections/31_hardwarenumerics_empirical_bridge.tex✅ Definition of Done (NeurIPS + Reviewer-2 mitigation)
Closes #<this>+ green CI (L1/L3/L4/L8)🤖 ONE SHOT directive
phi^2 + phi^-2 = 3 · GOLDEN STRAND · NEVER STOP 🌻