Every PNG generated by figures/plot_figures.py at tag v0.1.0. Each caption carries its slice scope. Click any image to open the full-resolution PNG. Each section header links to the topic page where the figure is discussed in narrative.
The classical matter-shell route: existence (canonical anchor), the minimum-thickness law $\Delta_{\min} / R = \kappa \cdot \beta / C$, the (β, r)-grid of matter slices, and the GW-recoil cliff that forbids steady cruising. Discussed in narrative on the Fuchs Shell page.
Canonical anchor — six-panel. ρ, p₁, p₃, anisotropy, |N|, gtt for the canonical Fuchs shell (β = 0.02, C = 1/3, R₂ = 20). The "what does a passing shell look like" reference.slice: canonical Fuchs anchor; matter_shell.ipynbThickness-bound heatmap. Worst DEC slack over (β, Δ/R) at three compactness values; overlaid lines = analytic κ predictions (0.05, 0.875, 5).slice: thickness_bound.ipynb 600-cell preview sweepGW-recoil cliff. Δvkick from a single GW-emitting bubble episode vs β at 5 compactness values; dashed line = c·tanh β saturation. Kicks span 7 orders of magnitude and saturate well below c — the acceleration ledger is null.slice: PN inspiral + SXS rescaling, single bubble; acceleration.ipynbMatter slice — V = 0.38, r = 5.25. Six-panel slice on the (β, r) grid; thin shell, sub-luminal anchor.slice: matter_shell sweep, V = 0.38, r = 5.25Matter slice — V = 0.38, r = 6.5. Same sub-luminal V, intermediate radius.slice: matter_shell sweep, V = 0.38, r = 6.50Matter slice — V = 0.38, r = 7.75. Sub-luminal anchor, larger radius.slice: matter_shell sweep, V = 0.38, r = 7.75Matter slice — V = 0.38, r = 9. Outermost sub-luminal anchor in the (β, r) row.slice: matter_shell sweep, V = 0.38, r = 9.00Matter slice — V = 1.5, r = 5.25. Super-luminal anchor; |N| > c through the wall.slice: matter_shell sweep, V = 1.5, r = 5.25Matter slice — V = 1.5, r = 6.5. Super-luminal, intermediate radius.slice: matter_shell sweep, V = 1.5, r = 6.50Matter slice — V = 1.5, r = 7.75. Super-luminal, larger radius — the all-wall-no-interior pathology made spatial.slice: matter_shell sweep, V = 1.5, r = 7.75
Section · Phase 2C
The six adjacent slices
One figure per slice (where the slice is reducible to a single image). Slices 3 (time-dependent) and 5 (cosmological exterior) and 6 (modified gravity) are narrative-only in the current programme. Discussed in narrative on the Six Slices page.
Slice 1 — shift families. WEC / DEC pass fractions and DEC-slack medians for four single-mode shift families. None reach strict-pass; Slice 1 closes negative.slice: shift_families.ipynb 140-cell sweepSlice 2 — hybrid wall. Fuchs anchor + Krasnikov tail; WEC / DEC pass fraction over (δ_M, w_M) at four η. WEC has a small wedge; DEC is null almost everywhere.slice: ε = 1, n = 100, nρ = 1601 (hybrid_wall.ipynb)Slice 4 — Krasnikov tube QI. |ρp,min| · ε² collapses onto a single curve — the Krasnikov 2003 quantum-inequality scaling holds across the sweep.slice: krasnikov_tube.ipynb 300-cell sweep
Section · Phase 2D
Fell–Heisenberg multi-mode strict-pass manifold
The strict-pass region (1 404 / 15 000 cells at Npts = 65), its topology, and the horizon / foliation-health diagnostics. Discussed in narrative on the Fell–Heisenberg page.
Strict-pass corner plot. All 1 404 strict-pass cells (WEC = 100 %, DEC > 0) projected pairwise into (σ, m₀, a, ℓ, r). Diagonals: marginal counts. Off-diagonals coloured by dec_slack_min.slice: V ∈ [0.1, 1.5]; full sweep sweeps_remote/full-20260420T022727/Hires pairwise pass-count. 6 818-cell hires set projected onto each (σ, m₀, a, ℓ, r) pair; bin colour = strict-pass count.slice: Npts = 97 hiresHires pairwise DEC slack. Same projection coloured by max dec_slack_min per bin — depth of the strict-pass manifold.slice: Npts = 97 hiresBoundary cells. Interior (purple) vs boundary (orange) cells of the strict-pass region. Boundary fraction = 87.1 %; "all skin, almost no bulk".slice: Npts = 97 hiresDEC slack vs distance.dec_slack_min as a function of Chebyshev distance to the strict-pass boundary; box plot per integer distance.slice: Npts = 97 hiresBoundary classifier ROC. Degree-4 polynomial implicit boundary fit; AUC ≈ 1.0 ⇒ smooth boundary.slice: Npts = 97 hires; degree-4 fitPolynomial-fit residuals. Per-cell residual of the boundary polynomial; tail magnitudes show asymmetry of the strict-pass surface.slice: Npts = 97 hiresThresholding effect. Strict-pass cell count vs DEC-slack threshold; shows how the manifold thins as the slack cut tightens.slice: Npts = 97 hiresHorizon V-scan. Bubble-frame velocity sweep showing lapse / shift behaviour around the FH wall.slice: Task 2D.7 horizon analysisFoliation health — canonical anchor, V = 0.1. ADM lapse / shift consistency check.slice: canonical strict-pass anchorFoliation health — canonical anchor, V = 1.5. Same anchor, super-luminal V — visible single-cell-passenger pathology.slice: canonical strict-pass anchorFoliation health — compact anchor, V = 1. Smaller-ℓ corner of the strict-pass region.slice: compact-anchor cellFoliation health — edge anchor, V = 0.5. Boundary cell of the strict-pass manifold.slice: edge-anchor cellFoliation health — high-m₀ anchor, V = 0.5. Large-mass corner; passenger-zone overhead is most extreme here.slice: high-m₀ anchor cell
Section · Phase 3
Warp Factory — κ-surface and reproductions
MATLAB Warp Factory v1.0 outputs: the 27-cell κ-surface, the textbook Alcubierre violator (Pfenning–Ford era), and the Fuchs & Helmerich 2024 reproduction. Discussed in narrative on the Warp Factory page.
κ-surface 3D. All 27 sweep cells in (β, C, R₂); colour = midpoint κ; red ✕ marks geometrically-saturated null cells.slice: spaceScale = 0.2, κ-bracket grid (3, 5, 7); 27-cell mat sweepκ-surface facets. κ vs β at each (C, R₂); error bars = lower/upper bracket; dashed = analytic κ = 0.875.slice: same as above; 3 × 3 panel gridκ-surface — MATLAB 4-panel. Original Warp Factory output: contour panels of midpoint κ in each (C, R₂) face.slice: warp_factory_repro/kappa_surface_sweep.mFuchs reproduction — ρ. Energy density slice through the 2024 Fuchs & Helmerich anchor (β = 0.02, C = 1/3, R₂ = 20).slice: anchor cell, Warp Factory exact reproductionFuchs — NEC. Minimum NEC eigenvalue ≥ 0 throughout interior.slice: anchor cell, NEC tensorFuchs — WEC. Anchor passes WEC pointwise.slice: anchor cell, WEC tensorFuchs — DEC. DEC slack > 0 throughout the shell — the construction we anchor against.slice: anchor cell, DEC slackFuchs — SEC. SEC violation is intrinsic to the construction (Fuchs & Helmerich allow it).slice: anchor cell, SEC tensorTextbook Alcubierre — NEC. Pfenning–Ford era top-hat top displays the canonical NEC violation: deep negative ρ ring around the bubble equator.slice: textbook v = 0.1, R = 1, σ = 8Textbook Alcubierre — WEC. Same configuration; WEC violator structure.slice: textbook v = 0.1, R = 1, σ = 8Textbook Alcubierre — DEC. DEC equally violated.slice: textbook v = 0.1, R = 1, σ = 8Textbook Alcubierre — SEC. SEC violation completing the four-panel; the textbook bubble fails every classical EC.slice: textbook v = 0.1, R = 1, σ = 8
