tools to patch any Linux kernel, content-addressed and quantum
Theorem.tools to patch any Linux kernel, content-addressed and quantum.
Proof.the tools to patch any Linux kernel, content-addressed and quantum (user, 2026-07-25: "create the tools to patch any linux kernel quantum"). A patch is ordered hunks {file, oldHash → newHash}; the patch identity is the merkle of its hunks (tamper-evident — a changed hunk changes the id); a hunk applies iff its oldHash matches the base tree's current content (the context / reject check of git apply, so a STALE patch is refused not force-applied); and the same base + the same patch yields the same result content-address (reproducible, verifiable by the address). The tools — kernelPatchId, kernelTreeId, kernelPatchApplies, kernelApplyPatch — are base-agnostic (they patch ANY content-addressed kernel tree), and the patch CHAIN is 4-key sealed (referrer⊕id⊕prev⊕next) so a spliced patch in the series is detected. SCOPE: this COMPUTES patch identity, applicability and the result address (a content-addressed patch model) — it does NOT compile, sign, or load a kernel module; real live-patching (kpatch / livepatch / ksplice) needs the kernel build toolchain, signing keys, and root, the named external step. "Quantum" = content-addressed/deterministic, not physical quantum. HARMONY ≠ TRUTH.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/water/stack/index.ts#patchAnyLinuxKernelQuantumContentAddressed
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"tools to patch any Linux kernel, content-addressed and quantum" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation patchAnyLinuxKernelQuantumContentAddressed.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (patchAnyLinuxKernelQuantumContentAddressed @ src/water/stack) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes patchAnyLinuxKernelQuantumContentAddressed (src/water/stack/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.