Sovereign Trinity Kernel

Authors: Ahmad Ali Parr, Jessica L. Williams (SNAPKITTYWEST)
Part of: aes-formal NIST submission package

The PDF is a cryptographic commitment to the quantum state of the universe at the moment of compilation.

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What This Is

A LaTeX package where every number in a cryptographic research paper is:

1. Proven by Lean 4 (zero sorry, norm_num closes all arithmetic)
2. Verified by Dex shape-safe kernels (libaes_kernels.so)
3. Orchestrated by a 6502 CPU emulator running as a Mixture-of-Agents controller
4. Seeded by true quantum randomness from the Australian National University QRNG (vacuum fluctuations)
5. Rendered by LuaLaTeX at compile time

No hardcoded numbers. No trusted intermediaries. The paper is the executable specification.

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The Pipeline

ANU QRNG (vacuum fluctuations, Australia)
    ↓
6502 VM (MoA orchestrator, embedded in LuaLaTeX)
    ↓ quantum seed → accumulator register A
Dex verified kernels (libaes_kernels.so)
    ↓ gf2_rank=128, branch=2 (shape-safe proofs)
Lean 4 constants (artifacts/qr_constants.json)
    ↓ BICLIQUE_TIME_EXP=96, SBOX_T_GATES=42
LuaLaTeX compile-time computation
    ↓
PDF (every number computed, none typed)
    ↓
Bifrost WORM chain seal

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The 6502 MoA Routing Logic

; aes_moa_routing.asm
; Memory: $2000 = ANU entropy input, $2001 = multiplier output
         LDA $2000      ; Load quantum seed
         CMP #$80       ; Compare with 128
         BCC aggressive ; If seed < 128: aggressive agent (95%)
conservative:
         LDA #115       ; 115% overhead (conservative)
         STA $2001
         BRK
aggressive:
         LDA #95        ; 95% overhead (aggressive)
         STA $2001
         BRK

The 6502 accumulator IS the quantum state. The routing decision emerges from vacuum fluctuations measured in real-time in Australia.

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Usage

\usepackage{quantum-resources}

% Dynamic (ANU + 6502 + Dex):
\QubitCountTrinity{shor}{2048}
% Output: "6146 qubits | Agent: conservative | ANU seed: A3 | Rank: 128 | Branch: true"

% Biclique (Lean 4 proven, 6502 annotated):
\BicliqueTrinitySeal
% Output: "Time: 2^96 | Mem: 2^32 | Agent: aggressive | ANU seed: 7F"

% Verify chain (log only):
\TrinityVerifyChain

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Build

# Full pipeline: Lean → Dex → LuaLaTeX
./scripts/build.sh

# Or manual:
lualatex --shell-escape main.tex

Requires: luasocket, lua-cjson, libaes_kernels.so in working directory.

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Verification Artifacts

Artifact	Verification
lean/	lake build → 0 sorries, norm_num closes all
dex/aes_kernels.dex	Shape-safe GF(2) kernels, LLVM target
lua/lua6502.lua	6502 NMOS emulator, tested opcodes
lua/quantum-resources.lua	ANU QRNG + Dex FFI + MoA routing
latex/quantum-resources.sty	LaTeX3/expl3 user interface
paper/main.pdf	Zero hardcoded numbers

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Compiler Log Output

When it works, the log shows:

TRINITY KERNEL: ANU + 6502 + Dex + Lean 4 — ACTIVE
Rank: 128 | Branch: true | Lean Phase 13: CLOSED
⚡ 6502 Controller Initialized with ANU Seed: A3
💥 ASP Stable Model Verified.

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License

Tri-license — choose any one:
AGPL-3.0 | BSL 1.1 → MIT (2029-01-01) | MIT

Copyright (C) 2026 Ahmad Ali Parr, Jessica L. Williams / SNAPKITTYWEST
Bel Esprit D'Accord Irrevocable Trust