feat(coprocessor): Phase 6A — Vector + Tensor + Crypto + Physics backends

Adds 4 native Rust coprocessor backends under the Phase 0 abstraction.
Each backend is fully implemented with no stubs; CoprocessorKind only
grows when a working impl lands.

Vector (src/rust/coprocessor/vector.rs):
- 4 ops: VectorAdd, VectorDot, VectorNorm, VectorScale.
- Pure Rust auto-vectorisable f64 loops; std::simd avoided to keep us
  off nightly.  Length mismatches return CoprocessorOutcome::Failure
  rather than panicking.  Trust tier: LibraryWrapped (Tier 3).
- Backs the GNN inference path's batch arithmetic and aggregate
  reasoning over node-embedding vectors.

Tensor (src/rust/coprocessor/tensor.rs):
- 4 ops: TensorMatMul, TensorTranspose, TensorTrace, TensorDeterminant.
- nalgebra DMatrix for dense linalg.  Ragged input + non-square +
  dimension-mismatch each classified as Failure with diagnostic.
- Backs node-embedding aggregation, Pareto-frontier dominance, and
  matrix kernels in cross-prover proof-certificate exchange.

Crypto (src/rust/coprocessor/crypto.rs):
- 3 ops: CryptoSha256, CryptoBlake3, CryptoEd25519Verify.
- Backed by RustCrypto sha2 + the existing blake3 dep + ed25519-dalek.
  Ed25519 keys/sigs strictly bounds-checked (32 / 64 bytes) per RFC
  8032.  RFC 8032 §7.1 test vector 1 passes; tamper detection passes.
- Pairs with the symbolic-crypto provers (Tamarin, ProVerif) and the
  future computational-crypto backends (EasyCrypt, CryptoVerif) as
  the concrete byte-level oracle for symbolic claims.

Physics (src/rust/coprocessor/physics.rs):
- 2 ops: PhysicsRk4Step (closed kernel set: harmonic-oscillator,
  exponential-decay, linear), PhysicsHarmonicEnergy.
- Pure Rust RK4 integrator.  ω=1 harmonic oscillator integrated for
  2π over dt=0.001 (6283 steps) returns to start within 1e-3.  Half-
  life decay ẋ = -λx with λ = ln 2 closes within 1e-6.  Closures don't
  cross the Serde wire — kernels are name+params, encoded by build_kernel.
- Pairs with the future KeYmaera X backend as the numerical sanity-
  check oracle for symbolically-proven hybrid-system trajectories.

Wiring:
- CoprocessorKind: + Vector, Tensor, Crypto, Physics.  CoprocessorFactory
  ::native dispatches all four.  CoprocessorOutcome: + Float, FloatVec,
  FloatMatrix, Hex variants.  Math backend gets a catch-all Failure arm
  for ops it doesn't own — same pattern propagated to all backends.
- Cargo.toml: + nalgebra 0.33 (BSD-3), ed25519-dalek 2 (Apache-2.0/MIT).
  sha2 un-gated from the `verisim` feature (it's now a Crypto-backend
  hard dep).
- src/abi/CoprocessorForeign.idr: + 4 kind variants with pinned u8
  discriminants (Math=0, Vector=1, Tensor=2, Crypto=3, Physics=4) and
  a constructive `kindEncodeDecodeId` proof for the round-trip.  Health
  table extended.  Zero believe_me.
- src/rust/coprocessor/julia_bridge.rs: kind_name covers the new kinds.
- STATE.a2ml [expansion-roadmap]: Phase 6A marked complete; Phase 6B
  (DSP + IO + Graphics + Audio + FPGA) split out as next claimable.

Tests: 32 coprocessor tests green (10 Math + 6 Vector + 6 Tensor + 6
Crypto + 4 Physics).  panic-attack assail clean on all four new files
(0 weak points).  Validation done with parallel Phase 1 prover work-in-
progress git-stashed so the lib could compile in isolation; restored
afterwards.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

Author: hyperpolymath

.machine_readable/6a2/STATE.a2ml

@@ -68,11 +68,20 @@ adds-backends = ["Stainless", "Liquid Haskell", "GNATprove"]
 target-claim-id = "echidna-phase5-refinement-spark"
 
 [[expansion-roadmap.phase]]
-id = "phase-6"
-title = "Coprocessor full wiring — Physics/DSP/FPGA/Tensor/Vector/Crypto/Graphics/Audio/IO via LowLevel.jl + Rust SIMD + Chapel"
-status = "blocked-on-phase-0-merge"
+id = "phase-6a"
+title = "Coprocessor wiring — Vector + Tensor + Crypto + Physics"
+status = "complete"
+landed = "2026-04-26"
+adds-backends = []
+notes = "4 new CoprocessorKind variants (Vector / Tensor / Crypto / Physics) with full Rust impls. New deps: nalgebra 0.33, sha2 0.10 (un-gated from verisim), ed25519-dalek 2. Vector: pure Rust auto-vectorised f64 (4 ops). Tensor: nalgebra DMatrix (4 ops, non-square + ragged input properly classified as Failure). Crypto: SHA-256 + BLAKE3 + Ed25519 (RFC 8032 verify) — RFC test vectors green, tamper detection green. Physics: RK4 step + harmonic energy oracle, harmonic-oscillator one-period round-trip closes to <1e-3 over 6283 RK4 steps. Idris2 ABI extended with constructive kindEncodeDecodeId proof. 21 new tests, all green."
+
+[[expansion-roadmap.phase]]
+id = "phase-6b"
+title = "Coprocessor wiring — DSP + IO + Graphics + Audio + FPGA"
+status = "available-for-claim"
 adds-backends = []
-notes = "Each kind lands with full implementation — never as a stub. Existing Phase 0 Math backend serves as the integration template."
+target-claim-id = "echidna-phase6b-coproc-rest"
+notes = "Each kind lands with full implementation. DSP: rustfft (FFT/IFFT/window). IO: tokio::fs (read/write/line-count). Graphics: SVG ProofGraph render (no GPU dep). Audio: pure Rust sine-wave / completion chime. FPGA: subprocess to yosys (synth flow). Tier 3 for native; Tier 1 for FPGA subprocess."
 
 [[expansion-roadmap.phase]]
 id = "phase-7"