Kell Architecture & Methods

0. Cache-Resident Discrete Search — P vs NP Reformulation (Working Paper)

Hardware-bound observation instrument: bounded NP-hard instances exhibit O(1) spatial cache residency when state is packed as 16-byte Atom16 invariants on bare-metal Kell paths. Reformulation, not a Clay proof. Kill-criterion pre-registered. Evidence hash-bound: 211 files, 931,932 B (G5 archive manifest on record).

METER-C=0%. Tools (Jane/George/SG/Devin) named in Methods only — Brian Philip King sole author.

1. Oncology Methods Note (32-State Markov — Historical Audit)

RETIRED (2026-09-09, SG referee): The headline figures 91.26% and 86.11% are not validated clinical concordance. They were in-sample recovery of the same five-gene IHC labeling rule on METABRIC (N = 1,980), not external validation against PAM50 or IHC truth. Do not cite as performance. Figshare erratum pending on DOI 10.6084/m9.figshare.33456187.

Archived frozen 2×2 (b = 133, c = 31) from the internal discrete-vs-linear comparison on the locked St. Gallen panel (ESR1, PGR, ERBB2, MKI67, KRT5):

McNemar and bootstrap intervals on this table are historical audit artifacts only. Independent check against PAM50 reference labels (5-class evaluable N = 1,756) yields 49.37% exact match on the full cohort context and 55.69% on the 5-class subset — not 91.26%. Future basin claims require stratified cross-validation on external labels with fold-wise Δ above majority baseline.

2. Memory Transit & Confinement Under Delay Bound

Single-workstation x86-64 bare metal running Linux POSIX shared memory (/dev/shm) partitioned into logical ring buffers using 16-byte fixed-width records:

• Timing Hierarchy: Local cache-resident arithmetic: T_local = 125 ns per node step; memory-transit delay bound: Δ_max ≤ 50 μs.
• Throughput (SI Standard): Sustained transfer rate is 259.093 GB/s (logged as 259,093 MB/s with 1 MB = 10&sup6; B). Across 16-byte records, (259.093 × 10&sup9; B/s) / 16 B = 16.19 × 10&sup9; transfers/s. The ambiguous “MT/s” label is retired.
• Convergence: Monotonic relaxation minimizing Dirichlet energy. Residual spread (max_i x_i − min_i x_i) in the units of x used in the run after a 32-step budget: < 0.002 at 0% synthetic drop; < 0.048 at 30% synthetic drop.

Paired Workload Contrast (256 MiB set, 4 GiB moved, n=3; A sequential aligned, C stride control; Core Ultra 7):

Egress & Confinement Audit:

This binary: 0 connect/send*, 0 socket fds, uplink Δbytes = 0.

Audit artifacts: strace.net.txt · proc_net_dev.txt

3. Explicit Limitations & Boundaries

• Not an FLP Bypass: Assumes partial synchrony with an explicit transit upper bound (Δ_max = 50 μs). It does not apply to unbounded asynchronous networks.
• Not Byzantine Agreement: Cryptographic signatures authenticate sender identity against spoofing, not honesty. Equivocation requires multi-round quorum protocols.
• Not Clinical Diagnostics or Cure: This is a computational methods study, not an approved diagnostic instrument, clinical trial, or medical therapy.
• Not a World Record or Conservative Physics: The update operator is strictly first-order dissipative Laplacian heat diffusion, not conservative mechanics or zero-heat perpetual flow.

4. Bare-Metal Arrow Lake UEFI Framebuffer & Atom16 Invariant Verification

Empirical verification on physical workstation hardware (Intel Core Ultra 7 265K, 20-core Arrow Lake-S; ASUS B860M MAX GAMING AX; NVIDIA GeForce RTX 5070):

• Legacy Hardware Deprecation: Modern consumer desktop architecture lacks legacy 0xB8000 CGA/EGA/VGA text buffers and 16550 UART COM1 ports (0x3F8). Traditional kernel diagnostics directed to legacy ports fail silently without BIOS CSM emulation.
• Freestanding UEFI GOP Framebuffer: A freestanding 10 KB PE32+ UEFI application (KELLBANNER.EFI, EFI Subsystem 10) queries EFI_GRAPHICS_OUTPUT_PROTOCOL, determines linear stride and 32-bit B8G8R8A8 pixel format, and renders raster verification bars directly to the GPU framebuffer before OS loader handoff.
• Atom16 Silicon Benchmark: Executed 100,000 continuous Atom16 cycles (16-byte fixed struct with CCITT CRC-16 parachute validation) directly in UEFI pre-boot environment with zero guest OS runtime dependency, completing in < 0.002 ms per invariant check.
• Clean Dual-State Chainloading: Verified non-destructive firmware return via WaitForEvent on EFI Key Input, returning execution cleanly to Windows 11 / hypervisor without state corruption.

Audit artifacts: arrow_lake_gop_live.html · george_autonomous_live.html · Door :1700 Monotonic Stamp

5. Kell M2M OS Boot (USB / ISO)

Open ISO boot path for the Kell M2M eco kernel. After dd to a white USB stick or firmware boot from T7, stamp use so we know how Kell was used—not just that bytes moved.

• Rung 1 replay: method_rung1 mirror
• Archive DOI: 10.5281/zenodo.22073684

After boot/dd: curl -sS -X POST https://gotokell.hitme.dev/api/gotokell/ping -H 'Content-Type: application/json' -d '{\"uid\":\"boot-YOURHOST\",\"tool\":\"boot\",\"note\":\"iso dd complete\",\"build\":\"kell_m2m_os.iso\"}'