| --- |
| license: other |
| license_name: sovereign-source-license-v2 |
| language: |
| - en |
| tags: |
| - lean4 |
| - formal-verification |
| - formal-mathematics |
| - zero-sorry |
| - e7 |
| - gates-normalization |
| - quantum-compiler |
| - jordan-spectral-transformer |
| - sovereign-compute |
| - worm-chain |
| - attention-exhaustion |
| - sovereign-stack |
| pretty_name: SNAPKITTYWEST Research Papers |
| size_categories: |
| - n<1K |
| --- |
| |
| # SNAPKITTYWEST Research Papers |
|
|
| **Ahmad Ali Parr · SnapKitty Collective · Bel Esprit D'Accord Irrevocable Trust** |
|
|
| Original research in formal mathematics, sovereign AI architecture, and deterministic agent systems. |
| Every claim is reproducible. All Lean 4 proofs compile with no `sorry`. The chain cannot be revised — only extended. |
|
|
| > *"Tokens are coordinate charts. The simplex is the law. The '1' was always there — and so was the proof obligation."* |
|
|
| --- |
|
|
| ## Papers — Complete DOI Catalog |
|
|
| | # | Title | DOI | Date | |
| |---|-------|-----|------| |
| | 1 | Attention Exhaustion Attacks | [10.5281/zenodo.20678420](https://doi.org/10.5281/zenodo.20678420) | June 2026 | |
| | 2 | SNAPKITTYWEST Sovereign Compute Architecture | [10.5281/zenodo.21132094](https://doi.org/10.5281/zenodo.21132094) | July 2026 | |
| | 3 | Resonance Block Trust Deeds | [10.5281/zenodo.21144425](https://doi.org/10.5281/zenodo.21144425) | July 2026 | |
| | 4 | GKN: I₄ Quartic Invariant and E₇ Symmetry | [10.5281/zenodo.21268911](https://doi.org/10.5281/zenodo.21268911) | July 2026 | |
| | 5 | The Gates Normalization Constraint & Meta-Inverted Sum | [10.5281/zenodo.21349277](https://doi.org/10.5281/zenodo.21349277) | July 2026 | |
| | 6 | Attention Is All You Don't Need: NAND Decomposition | [10.5281/zenodo.21351461](https://doi.org/10.5281/zenodo.21351461) | July 2026 | |
| | 7 | The Jordan Spectral Transformer | [10.5281/zenodo.21443609](https://doi.org/10.5281/zenodo.21443609) | July 2026 | |
| | 8 | PAR-011: Jacobian Conjecture via Jordan Algebras | [10.5281/zenodo.21727363](https://doi.org/10.5281/zenodo.21727363) | July 2026 | |
| | 9 | **The Sovereign Stack** (unified, 26pp) | [10.5281/zenodo.21816366](https://doi.org/10.5281/zenodo.21816366) | Aug 2026 | |
| | 10 | Sovereign Monster Kernel (new) | *Zenodo pending* | Aug 2026 | |
|
|
| --- |
|
|
| ## The Sovereign Stack — Unified Paper |
|
|
| **DOI: [10.5281/zenodo.21816366](https://doi.org/10.5281/zenodo.21816366)** |
|
|
| 26-page unified theory connecting all 9 papers into one architectural claim: |
|
|
| > **Replace probability with proof.** |
|
|
| Four movements: |
| - **Attack**: Attention exhaustion achieves 0% detection across 10 frontier LLMs |
| - **Geometry**: The normalization constraint is the manifold definition, not softmax behavior |
| - **Algebra**: K_QLG = ω_SLA = target_QRA — proved in Lean 4, zero sorry, no mathlib |
| - **Jurisdiction**: Proof-gated agent ticks produce a computational jurisdiction |
| |
| [Read PDF →](https://snapkittywest.github.io/hyperkitty/papers/sovereign-stack-unified.pdf) |
| |
| --- |
| |
| ## Sovereign Monster Kernel — New Paper |
| |
| **30 languages. 1 human. Formally verified end-to-end. No cloud. No vendor. No libc. No sorry.** |
| |
| 16-page paper describing the complete vertically integrated compute stack: |
| |
| - Custom ARM64/x86-64 assembly entry point (no crt0, no libc) |
| - Zero-dependency Fortran 2018 kernel: Blake3 + Ed25519 from scratch |
| - Hand-written PTX 8.0 GPU kernels (flash attention + GEMM, RTX 4090) |
| - C-- continuous batching scheduler with WORM hooks |
| - MLIR fusion graph targeting 4 backends simultaneously |
| - QATAAUM clean-room quantum compiler (9-level IR, 221 tests) |
| - Sovereign Event Bus: Erlang + Ada SPARK + WASM SUBLEQ + Idris 2 |
| - Formal verification: Lean 4, Agda, Coq, HOL Light, Isabelle, Idris 2 |
| |
| [Repository →](https://github.com/SNAPKITTYWEST/sov-kernel-monster) |
| [Paper PDF →](https://github.com/SNAPKITTYWEST/sov-kernel-monster/blob/main/docs/papers/sovereign-monster-kernel.pdf) |
| |
| --- |
| |
| ## Key Results |
| |
| ### Gates Normalization Constraint |
| The probability simplex Δⁿ is the law. Softmax guarantees normalization — not semantic validity. |
| The meta-inverted sum Λ(ℓ) = log Z is its Legendre dual. |
| Proved in Lean 4, 12 theorems, zero sorry. |
| |
| ### Tripartite Isomorphism |
| Three independently motivated algebras are the same object: |
| - Quadratic Ledger Geometry (QLG): unit integer sphere x²+y²+z²=1 |
| - Symbolic Ledger Algebra (SLA): balance axiom R(λ) = δ + ι = 0 |
| - Discrete Agent Routing Automata (QRA): H=0 nats routing tensor |
| |
| **K_QLG = ω_SLA = target_QRA** — proved in Lean 4, zero sorry, no mathlib. |
| |
| ### Jordan Spectral Transformer |
| Replaces softmax attention with Fibonacci-Banach contraction: |
| T(ρ) = φ⁻¹·UρU† + φ⁻²·ρ, contraction rate φ⁻¹ ≈ 0.618 |
| Fixed point ρ* satisfies [U, ρ*] = 0 (PAR-011). |
| |
| ### Attention Exhaustion |
| Multi-substrate cognitive friction prompts defeat detection at **0% detection rate** |
| across 10 frontier LLMs including Claude Sonnet 4, Llama 3.3-70B, Mistral-Large. |
| |
| --- |
| |
| ## ORCID |
| [0009-0006-1916-5245](https://orcid.org/0009-0006-1916-5245) |
| |
| ## License |
| Sovereign Source License v2 · Bel Esprit D'Accord Irrevocable Trust · 2026 |
| |
