Multi-session work bundle on a draft branch. Splits into a clean
sequence of commits later; pushed here so it isn't lost on a reboot.
Reach work
- code/scripts/reach/reach_scram_pj.jl: shutdown_margin halfspace
X_exit (replaces "n <= 1e-4 AND T_f bound" framing); per-step
envelope extraction added.
- code/scripts/reach/reach_scram_pj_fat.jl: per-step envelope
extraction added; shutdown_margin discharge logic mirrored from the
tight scram script. 3 probes (10/30/60s) all discharge from the
fat union polytope.
- code/scripts/reach/reach_scram_full_fat.jl (NEW): full nonlinear
PKE scram reach with fat entry. Hits the stiffness wall at
~1.5 s plant time as expected; saves NaN-tolerant per-step
envelopes. Demonstrates concretely why PJ is the right tool for
the longer-horizon proof.
- code/scripts/reach/reach_heatup_pj.jl: T_REF_START_C constant
(entry-conditioned ramp) replaces T_STANDBY-init that was making
the FL controller command cooling at t=0. Per-step extraction
already in place.
- code/configs/heatup/tight.toml: bumped maxsteps; probe horizon
parameterized.
Hot-standby SOS barrier
- code/scripts/barrier/barrier_sos_2d_shutdown.jl (NEW): mirrors the
operation SOS machinery on the hot-standby thermal projection.
Includes the eps-slack pattern (so feasibility doesn't silently
collapse to B == 0).
- code/scripts/barrier/barrier_sos_2d.jl: refactored to use the same
helper.
- code/src/sos_barrier.jl (NEW): solve_sos_barrier_2d helper module
factoring out the SOS construction; eps-slack with eps_cap=1.0 to
avoid unbounded primal.
Library
- code/src/pke_states.jl (NEW): single source of truth for canonical
initial-condition vectors per DRC mode (op, shutdown, heatup) keyed
off plant + predicates.
- code/scripts/sim/{main_mode_sweep,validate_pj}.jl, code/CLAUDE.md:
migrated to pke_states.
Predicates + invariants
- reachability/predicates.json: new shutdown_margin predicate (1%
dk/k tech-spec floor, expressed as alpha_f*T_f + alpha_c*T_c
halfspace). Used as scram X_exit.
Plot script
- code/scripts/plot/plot_reach_tubes.jl: plot_tubes_scram_pj() with
variant=:fat|:tight knob; plot_tubes_scram_full() for full-PKE
3-panel (T_c, T_f, rho); plot_tubes_heatup_pj() reads results/
not reachability/.
Journal + memory
- journal/entries/2026-04-27-shutdown-sos-and-scram-X_exit.tex (NEW):
long-form entry on the SOS hot-standby barrier and the scram X_exit
refactor.
- journal/journal.tex: input chain updated.
- claude_memory/ — three new session notes:
* 2026-04-27-scram-X_exit-shutdown-margin.md
* 2026-04-28-DICE-2026-conference-intel.md (people, sessions,
strategic notes for the May 12 talk)
* 2026-04-28-path1-sos-pj-sketch.md (sketch of nonlinear-SOS via
polynomial multiply-through; saved for an overnight session)
Docs
- docs/model_cheatsheet.md (NEW): one-page reference of state vector,
dynamics, constants, modes, predicates, sanity numbers — the talk
prep cheatsheet Dane asked for.
- docs/figures/reach_*_tubes.png: regenerated with the new mat data.
- presentations/prelim-presentation/outline.md: revised arc per the
April-28 review pass (cuts: Lyapunov-fails standalone slide,
operation-tube standalone slide, SOS standalone; adds: scopes-of-
control framing, scram on the headline result slide).
- app/predicate_explorer.jl: minor.
Hacker-Split: end-of-session scratch bundle
New entry 2026-04-21-polytopic-sos-tikhonov.tex covering:
- Polytopic barrier attempt (naive Nagumo check), why it fails
(safety polytope too large for LQR contraction from anywhere),
and the Blanchini pre-image algorithm as the right fix.
- SOS polynomial barrier success on the 2-state reduced projection:
CSDP returns OPTIMAL on a degree-4 polynomial B(x1, x2). First
non-quadratic barrier artifact for this plant. Full polynomial
coefficients embedded.
- Tikhonov singular-perturbation theorem derivation for the PJ
reduction. Writes the 10-state PKE in slow-fast form with
eps=Lambda, identifies the quasi-steady manifold h(x) = PJ
formula, shows fast subsystem exponentially stable under the
prompt_critical_margin_heatup invariant. Error bound:
|x(t) - x_PJ(t)| <= C*Lambda = O(1e-4) in state units, uniform
after boundary layer. Empirical validation data (0.1% max) is
consistent with K_1 ~ 40, K_3 ~ 70 problem constants.
- apass markers for remaining open items: scram entry expansion,
heatup steam-dump Q_sg, heatup controller-ref mismatch.
The Tikhonov derivation upgrades "we ran it and 0.1% error" to
"bounded by C*Lambda where C depends on problem properties bounded
by the safety halfspaces." Rigorous rate.
Journal: 38 pages, clean build.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
Singular-perturbation reduction of the PKE+T/H system: set dn/dt=0,
solve algebraically n = Λ·Σλ_i·C_i / (β-ρ). State drops 10 -> 9 (no
n), removes Λ⁻¹ stiffness. Validated against full state on the heatup
scenario:
t [s] |Δn|/n_full T_c err [K]
60 3.7e-5 4e-6
300 3.8e-4 1.9e-4
1200 1.0e-3 2.2e-3
3000 5.0e-4 7.2e-3
Maximum relative error 0.1% on n, peak 7 mK on temperatures over
50 minutes. PJ approximation is excellent for slow heatup transients
(sub-prompt-critical regime).
Files:
- code/src/pke_th_rhs_pj.jl: reduced 9-state RHS
- code/scripts/validate_pj.jl: side-by-side sim
- code/scripts/reach_heatup_pj.jl: TMJets reach with PJ model
(probing T = 60, 300, 1800, 5400 s)
App v2 (Pluto):
- §9b: live ingestion of reach_operation_result.mat with per-
halfspace margins computed from JSON-defined inv2_holds.
- §9c: 2D projection chooser (n, T_f, T_c, T_cold) with reach
tube envelope overlay.
- §9d: PJ heatup reach summary (placeholder until first run lands).
Journal:
- Added 2026-04-20-overnight-prompt-jump.tex with PJ derivation,
validation table, soundness ledger update. apass markers for
the in-progress reach results.
This commit captures state mid-run; next commit will add the
populated reach results once TMJets returns.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
Full toolchain port. Numerical equivalence verified against MATLAB:
- main_mode_sweep.jl: every mode's final state matches MATLAB to 3-4 dp
- reach_operation.jl: per-halfspace margins match MATLAB exactly
- barrier_lyapunov.jl: per-halfspace bounds match (best Qbar from sweep
yields max|dT_c| = 33.228 K either side)
- barrier_compare_OL_CL.jl: OL gamma 1.038e13, CL gamma 1.848e4
matching the MATLAB result; LQR helps by ~20,000x on every halfspace.
Phase summary:
Phase 1: pke_solver.jl, plot_pke_results.jl (Plots.jl), main_mode_sweep.jl
Phase 2: reach_linear.jl, reach_operation.jl, barrier_lyapunov.jl,
barrier_compare_OL_CL.jl, load_predicates.jl
Phase 3 (this commit): delete plant-model/ entirely, delete reach
code from reachability/ keeping predicates.json + docs,
git mv julia-port/ -> code/, update root README + CLAUDE,
write code/CLAUDE.md and code/README.md, update reach
README + WALKTHROUGH file paths, journal preamble note
that pre-port entries reference MATLAB paths.
Why now: prompt-neutron stiffness in nonlinear reach made it clear we
need TMJets, which is Julia. Already had the Julia plant model
working and matching MATLAB. Two languages = two sources of truth =
two places to drift. One language, one truth.
Manifest.toml gitignored. .mat results gitignored.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
journal/ directory, LaTeX-based, dated entries, callout boxes for
derivations / decisions / dead ends / limitations, plus an \apass{}
macro for in-line markers when a later deep-pass is needed.
Retroactive A-style entries for 2026-04-17 (controllers, linearization,
LQR, operation-mode linear reach, Lyapunov barrier) and 2026-04-20
(predicates restructure into deadbands+safety+invariants, OL-vs-CL
barrier analysis, mode-obligation taxonomy, heatup-rate-as-halfspace,
mode_boundaries, first Julia nonlinear reach attempt).
Both entries include derivations written out in math, dead-ends I
hit, code snippets with commentary, figure embeds, and terminal
output where it changed what we did next. The goal is invention-log
depth — readable 4 years from now without the git history to help.
journal/README.md documents the conventions. journal.tex aggregates
all entries into one PDF via latexmk.
Kept claude_memory/ separate as per earlier agreement — those are
short AI-context notes, different audience.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
Dane Sabo