{ "collections": [ { "collection": "expedition-3", "hypotheses": 300, "nested_leads": 30, "supplied_result_reports": 3, "readme": "sources/expedition-3/README.md", "results": [ { "name": "C1_barrier_identity", "url": "sources/expedition-3/03_VOLUME_C/C1_barrier_identity/REPORT.md", "text": "# C1 — Two identical barriers: the exact law, and the correction of T²/4\n\n**From:** E3-H253, rank 1/30 · **Status: FORMAL DERIVATION + COMPUTATIONAL VERIFICATION.**\nThe hypothesis's *structure* is confirmed; its *number* is wrong except in a limit.\n\n---\n\n## A. The claim, refined\n\nPhase I asserted that two identical barriers transmit \"exactly $T^2/4$\" of the product of their\ntransmissions at antiresonance, and fully at resonance.\n\nThe exact result for two identical, symmetric, lossless scatterers is\n\n$$\\boxed{|t_{\\rm anti}|^2=\\frac{T^{2}}{(2-T)^{2}},\\qquad |t_{\\rm res}|^2=1.}$$\n\n$T^2/4$ is the $T\\to0$ limit of the first expression, not the value. At $T=0.5$ the two differ by\n78%.\n\n---\n\n## B. Derivation\n\nFor a single symmetric lossless scatterer with amplitude transmission $t$ and reflection $r$\n($|t|^2=T$, $|r|^2=R=1-T$), two of them separated by a round-trip phase $\\phi$ compose to\n\n$$t_{\\rm tot}=\\frac{t^{2}e^{i\\phi}}{1-r^{2}e^{2i\\phi}} .$$\n\n**Resonance** ($e^{2i\\phi}=1$): $t_{\\rm tot}=t^2/(1-R)=t^2/T$, so $|t_{\\rm tot}|^2 = T^2/T^2=1$.\nPerfect transmission through an opaque pair — resonant tunnelling, and the exactness of the unity\nis the sharpest part of the result.\n\n**Antiresonance** ($e^{2i\\phi}=-1$):\n\n$$|t_{\\rm tot}|^{2}=\\frac{T^{2}}{(1+R)^{2}}=\\frac{T^{2}}{(2-T)^{2}} .$$\n\nThe $T\\to0$ expansion gives $\\frac{T^2}{4}(1+T/2+\\dots)^2$, so $T^2/4$ is the leading term. ∎\n\n**The cascade comparison.** The uncorrelated product rule would give $T^2$. The ratio\n$|t_{\\rm anti}|^2/T^2 = 1/(2-T)^2$ ranges from $1/4$ (weak barriers) to $1$ (transparent), so\nantiresonance always *suppresses* below the cascade value, by a factor between 4 and 1.\n\n---\n\n## C. Computational verification\n\nExecuted in `c1_barriers.py` with a rectangular-barrier transfer matrix ($2m=\\hbar=1$,\n$V_0=a=1$). The spacer length was scanned to locate the antiresonance minimum.\n\n| $E$ | single $T$ | matrix minimum | $T^2/(2-T)^2$ | rel. diff |\n|---|---|---|---|---|\n| 0.05 | 0.1282 | 0.00469377 | 0.00469377 | $1.7\\times10^{-7}$ |\n| 0.20 | 0.3815 | 0.05557262 | 0.05557262 | $6.6\\times10^{-8}$ |\n| 0.50 | 0.6293 | 0.21077109 | 0.21077109 | $2.6\\times10^{-16}$ |\n| 1.20 | 0.8370 | 0.51785544 | 0.51785530 | $2.8\\times10^{-7}$ |\n| 5.00 | 0.9898 | 0.95990629 | 0.95990629 | $6.4\\times10^{-9}$ |\n\nAgreement to seven figures across four decades of $T$. (The residual $\\sim10^{-7}$ is the finite\nspacer-scan resolution, evident from its irregularity.)\n\n**Why the transfer-matrix check is independent of the closed form.** The closed form assumes only\nunitarity and symmetry of the single-barrier S-matrix; the matrix computation solves the Schrödinger\nequation through a square barrier and its free propagation. Their agreement is a genuine cross-check\nof the scattering algebra.\n\n---\n\n## D. Falsification attempts\n\n1. **\"Resonance transmission unity is a model artefact.\"** No: it follows from unitarity plus\n identical symmetric scatterers, independent of barrier shape. Any loss destroys it, and the\n decay with loss is the natural next measurement.\n2. **Does $T^2/4$ ever hold?** Yes — asymptotically. The error is 0.5% at $T=0.005$, 5.2% at\n $T=0.05$, 38% at $T=0.3$. So the Phase I claim is a weak-barrier approximation presented as an\n identity.\n3. **Is the closed form valid for a general symmetric scatterer?** Only if the two scatterers are\n identical and the spacer is lossless; a phase asymmetry between them shifts both the resonance\n and the antiresonance conditions but preserves the *values* at those conditions. This is a\n statement about this model class, not a universal law.\n\n---\n\n## E. Status and what remains open\n\n| Statement | Status |\n|---|---|\n| $|t_{\\rm anti}|^2=T^2/(2-T)^2$ for identical symmetric lossless scatterers | **Formal derivation**, verified to $10^{-7}$ |\n| $|t_{\\rm res}|^2=1$ | **Formal derivation** |\n| $T^2/4$ is the exact antiresonance value | **Refuted** — it is the $T\\to0$ limit |\n| The effect is measurable in a microwave two-cavity filter | **Open** — proposed, not performed |\n| Loss and asymmetry corrections | **Open** — not computed here |\n\n**What this investigation is worth.** It converts a striking claim into an exact formula with a\nknown validity range, and it identifies the specific limit in which the original number is right.\nThat is the difference between a slogan and a result.\n\n## Reproducibility\n\n```\ncd 03_VOLUME_C/C1_barrier_identity\npython3 c1_barriers.py\n```\nDeterministic; numpy only; runtime < 20 s.\n" }, { "name": "C2_braess_networks", "url": "sources/expedition-3/03_VOLUME_C/C2_braess_networks/REPORT.md", "text": "# C2 — Adding a pipe: the hypothesis is false, and why\n\n**From:** E3-H031, rank 2/30 · **Status: REFUTED AS STATED**, with the reason identified and the\ncorrect formulation stated.\n\n---\n\n## A. The claim under test\n\nPhase I: *\"Adding a pipe can lower a network's total throughput.\"*\n\nThis is the Braess paradox transplanted from traffic to hydraulics. The investigation finds that\nthe transplant fails, for a reason that is structural rather than numerical.\n\n---\n\n## B. What the computation shows\n\nTwo formulations were solved numerically for a four-node crossed-path network\n($s\\!\\to\\!A$ fast, $A\\!\\to\\!t$ slow; $s\\!\\to\\!B$ slow, $B\\!\\to\\!t$ fast; optional bridge $A\\!-\\!B$),\nwith power-law head loss $\\Delta p = r\\,q|q|^{n-1}$.\n\n**Formulation A — fixed pressure difference.** Throughput with and without the bridge:\n\n| $n$ | without | with bridge | change |\n|---|---|---|---|\n| 1.0 | 1.818 | 4.194 | $+2.375$ |\n| 1.5 | 1.877 | 3.182 | $+1.305$ |\n| 2.0 | 1.907 | 2.807 | $+0.900$ |\n| 3.0 | 1.937 | 2.483 | $+0.545$ |\n\nThroughput never falls, for any exponent.\n\n**Formulation B — fixed total demand.** The head required to deliver $Q=1$:\n\n| $n$ | without | with bridge | change |\n|---|---|---|---|\n| 1.0 | 0.5500 | 0.2385 | $-0.3115$ |\n| 1.5 | 0.3889 | 0.1762 | $-0.2127$ |\n| 2.0 | 0.2750 | 0.1269 | $-0.1481$ |\n\nThe head *falls* in every case. Scanning bridge resistance from $10^{-3}$ to $50$ produces only\nimprovement (penalty $-0.159$ to $-0.027$). The symmetric-path control gives an exactly zero change\nto $10^{-12}$: the bridge connects equipotential nodes and does nothing.\n\n---\n\n## C. Why it must be so\n\nThe Braess paradox is a property of **selfish routing** — a Wardrop equilibrium in which each user\nminimises its own cost and no one minimises the total. A passive pipe network is not that. Its flow\ndistribution extremises a convex dissipation functional:\n\n$$\\Phi(q)=\\sum_e \\frac{r_e}{n+1}|q_e|^{n+1}\\quad\\text{subject to flow conservation.}$$\n\nAdding an edge enlarges the feasible set, so the minimum of a convex functional cannot increase.\nThe conjugate quantity — total flow at fixed head, or head at fixed flow — therefore cannot get\nworse. This is the same monotonicity that gives Rayleigh's theorem for linear networks; it survives\nnonlinearity as long as the element law is monotone and the flow is variationally determined.\n\n**The hypothesis fails because it imports an equilibrium concept from a different physics.** In a\npipe network there are no self-interested agents to create the inefficient equilibrium the paradox\nrequires.\n\n---\n\n## D. What would rescue it\n\nTwo routes exist, and both are testable:\n\n1. **Selfish routing in a physical system.** If the \"flow\" is a population of agents each choosing a\n route on measured delay — vehicles, packets under congestion control, or active particles\n following a chemical trail — the equilibrium is Wardrop-like and Braess can occur. That is a\n claim about traffic or about active matter, not about pipes.\n2. **Non-monotone element laws.** A component whose $\\Delta p(q)$ decreases over some range — a\n pressure-compensated valve, a fluidic element with hysteresis, or a segment exhibiting negative\n differential resistance — breaks the convexity that the monotonicity argument needs. Then an\n added parallel path can shift the operating point onto a falling branch and reduce total flow.\n\nThe corrected claim for Volume B is: **\"Adding a component can raise the pumping head required for\na fixed delivery only if the flow distribution is determined by individual optimisation rather than\nby a global variational principle, or if some element's characteristic is non-monotone.\"**\n\n---\n\n## E. Status\n\n| Statement | Status |\n|---|---|\n| Adding a pipe lowers throughput in a passive power-law network, fixed $\\Delta p$ | **Refuted** (numerically, $n=1$–$3$; provably by convexity) |\n| Adding a pipe raises required head at fixed demand | **Refuted** (numerically; same argument) |\n| The paradox requires selfish routing or non-convex elements | **Established reasoning**, consistent with the classical literature |\n| A physical realisation exists | **Open** — candidate systems named, none tested |\n\n**This is the most valuable kind of outcome for the programme:** a hypothesis that looked plausible\nbecause it borrowed a famous result from another field, found to rest on an equilibrium concept that\ndoes not apply. The refutation is cheap, decisive, and it clarifies what would have to be true.\n\n## Reproducibility\n\n```\ncd 03_VOLUME_C/C2_braess_networks\npython3 c2_braess.py\n```\nDeterministic Newton solves; numpy only; runtime < 5 s. Note that the $n=3$ demand-fixed case is\nexcluded by a convergence guard in the script rather than reported.\n" }, { "name": "C3_pulse_coupling", "url": "sources/expedition-3/03_VOLUME_C/C3_pulse_coupling/REPORT.md", "text": "# C3 — Critical coupling is a steady-state rule; short pulses want κ_e τ ≈ 2.51\n\n**From:** E3-H183, rank 3/30 · **Status: DERIVATION + COMPUTATIONAL VERIFICATION**, including a\ncorrection to my own first statement of the result.\n\n---\n\n## A. The claim, refined\n\nFor a single-mode cavity with intrinsic loss $\\kappa_0$, external coupling $\\kappa_e$, driven by a\nsquare pulse of amplitude $s_0$ and duration $T$, the fraction of incident energy stored at the end\nof the pulse is\n\n$$\\eta(\\kappa_e)=\\frac{4\\kappa_e\\left(1-e^{-\\kappa T/2}\\right)^2}{\\kappa^2 T},\n\\qquad \\kappa=\\kappa_0+\\kappa_e .$$\n\nThe maximiser obeys\n\n$$\\kappa_e^\\* \\to \\kappa_0 \\quad(\\kappa_0T\\gg1), \\qquad\n\\kappa_e^\\* T \\to 2.51289\\ldots \\quad(\\kappa_0T\\ll1),$$\n\nwhere $2.51289 = 2y$ and $y=1.25644$ solves $2y+1=e^{y}$.\n\n**Both limits are in units of the coupling *rate*, and the two differ in kind.** In steady state the\noptimum is set by a ratio to the intrinsic loss; in the short-pulse limit it is set by the pulse\nduration alone, with $\\kappa_0$ dropping out.\n\n---\n\n## B. Derivation\n\nCavity field from $t=0$:\n\n$$\\dot a=-\\tfrac{\\kappa}{2}a+\\sqrt{\\kappa_e}\\,s_0\n\\ \\Longrightarrow\\\na(T)=\\frac{2\\sqrt{\\kappa_e}s_0}{\\kappa}\\left(1-e^{-\\kappa T/2}\\right),$$\n\n$$\\eta=\\frac{|a(T)|^2}{|s_0|^2T}\n=\\frac{4\\kappa_e}{\\kappa^{2}T}\\left(1-e^{-\\kappa T/2}\\right)^2 .$$\n\n**Steady state** ($\\kappa T\\gg1$): $\\eta\\to4\\kappa_e/(\\kappa^2T)$, maximised at\n$\\kappa_e=\\kappa_0$ — the textbook critical-coupling rule, recovered exactly.\n\n**Short pulse** ($\\kappa_0T\\ll1$): if in addition $\\kappa_eT\\ll1$,\n$\\eta\\to\\kappa_eT$, which increases with $\\kappa_e$. That expansion is the trap: it holds only while\n$\\kappa_e T\\ll1$, and the true optimum sits precisely where it fails. Setting\n$\\partial\\eta/\\partial\\kappa_e=0$ with $u=\\kappa_e/\\kappa$ gives, in the limit $\\kappa_0\\to0$,\n\n$$\\frac{2y+1=e^{y}}{}\\quad\\text{with}\\quad y=\\frac{\\kappa^\\*T}{2},\n\\qquad \\kappa^\\*T = 2.51289\\ldots$$\n\n∎\n\n**The correction.** My first version of this investigation reported an *unbounded* optimum,\nextrapolating the small-$\\kappa_eT$ expansion past its validity. The Phase II dossier D03,\nwritten independently, derived the finite value $2.51286$. Recomputing confirmed D03: the product\n$\\kappa_e^\\*T$ converges to $2.5132$ as $\\kappa_0T\\to10^{-3}$. The expansion was the error, not the\nphysics.\n\n---\n\n## C. Computational verification\n\nMaximisation over $\\log_{10}(\\kappa_e/\\kappa_0)$ on a $4\\times10^{5}$-point grid.\n\n| $\\kappa_0T$ | $\\kappa_e^*/\\kappa_0$ | $\\kappa_e^*T$ | $\\eta_{\\max}$ |\n|---|---|---|---|\n| 0.001 | 2513 | **2.5132** | — |\n| 0.01 | 252 | 2.5161 | 0.811 |\n| 0.1 | 25.5 | 2.5455 | 0.783 |\n| 1.0 | 2.87 | 2.8750 | 0.561 |\n| 10 | 1.000 | 10.0 | 0.1000 |\n| 100 | 1.000 | 100 | 0.0100 |\n\nThe product $\\kappa_e^\\*T\\to2.5129$ from above as $\\kappa_0T\\to0$, exactly as the implicit equation\nrequires. At $\\kappa_0T=10$ the ratio is $1.000$ to three figures — critical coupling, recovered.\n\n**What critical coupling costs:**\n\n| $\\kappa_0T$ | $\\eta$ at critical | $\\eta$ at optimum | shortfall |\n|---|---|---|---|\n| 0.05 | 0.0476 | 0.799 | **94%** |\n| 0.10 | 0.0906 | 0.783 | **88%** |\n| 0.30 | 0.224 | 0.725 | 69% |\n| 1.00 | 0.432 | 0.561 | 23% |\n\n**Independent check.** The closed form was compared against direct numerical integration of the\ncavity ODE at $T=0.3$ and $T=2.0$; agreement to $10^{-8}$ relative.\n\n---\n\n## D. Stress tests\n\n1. **\"η can exceed 1 in the short-pulse expansion.\"** It can, and that is the signature of the\n invalid expansion: for $\\kappa_eT\\gtrsim1$ the driven-field model stops conserving energy in the\n way the formula assumes, and the true $\\eta$ peaks near $0.81$ and falls as $4/(\\kappa_eT)$.\n The finite optimum is what keeps the result physical.\n2. **\"The coefficient is of order one.\"** It is not; it is 2.513, and the difference matters — a\n factor-of-2.5 error in the coupling you should choose.\n3. **Square pulse assumed.** A different pulse shape changes the constant but not the structure:\n in the short-pulse limit the optimum is $\\kappa_e T=O(1)$, independent of $\\kappa_0$.\n\n---\n\n## E. Status\n\n| Statement | Status |\n|---|---|\n| Closed form for $\\eta(\\kappa_e)$ | **Derived**, verified against the ODE to $10^{-8}$ |\n| Steady-state optimum at $\\kappa_e=\\kappa_0$ | **Derived and verified** |\n| Short-pulse optimum $\\kappa_e^\\*T=2.51289$ | **Derived** (implicit equation) and **verified numerically** ($2.5132$ at $\\kappa_0T=10^{-3}$) |\n| Optimum is unbounded | **Refuted** — my own earlier claim, corrected here |\n| Critical coupling loses up to 94% for short pulses | **Computational result** |\n| Measured in a real cavity | **Open** |\n\n## Reproducibility\n\n```\ncd 03_VOLUME_C/C3_pulse_coupling\npython3 c3_pulse.py\n```\nDeterministic; numpy only; runtime < 40 s.\n" } ] } ], "manifest": [ { "collection": "expedition-3", "source": "/Users/tobymikle/Desktop/300v3", "stable_before_after": true, "files": [ { "path": "00_ESCAPE/ESCAPE_ANALYSIS_III.md", "sha256": "0079ef1a3550e66a19f33e3d6a2c64071863eae18bf27d59723a92b91d1b5bb6", "bytes": 8480 }, { "path": "01_VOLUME_A/A01_Delayed_and_threshold-time_effects.md", "sha256": "d300a6edd2f8c305ab1c3cabdafb2c31e793dd6404dd882bbaba525e6bebcbaa", "bytes": 92589 }, { "path": "01_VOLUME_A/A02_Inverse_response.md", "sha256": "da8e75823db1838a269ad645eda8610900282611ca4da76b0597c5a511e5d851", "bytes": 104386 }, { "path": "01_VOLUME_A/A03_Disorder-improved_order.md", "sha256": "476e942d422e6c8d99dbf9812da6672cd099c9692a0f992400bcb69dcc3f9ce8", "bytes": 110812 }, { "path": "01_VOLUME_A/A04_Window_phenomena.md", "sha256": "8f7a559d9e3226728afb535ab988e2ac3d41daf3a9394db278092ed856c3361b", "bytes": 106585 }, { "path": "01_VOLUME_A/A05_Precursors.md", "sha256": "2f0b766393a82910ffb87ac77a8c7bcae5dda6f3fb8622db2c51e0bd3e0ad382", "bytes": 101205 }, { "path": "01_VOLUME_A/A06_Measurement_paradoxes.md", "sha256": "5e7d0efe478dad0d9fcbf5017c2f68cc8160920a9388be425714f934493cb863", "bytes": 107745 }, { "path": "01_VOLUME_A/A07_Defect-borne_properties.md", "sha256": "9fa098be5f245ad8467c359ea3fef89b3fe7f80401f60ba63602f743171aa943", "bytes": 96696 }, { "path": "01_VOLUME_A/A08_Gain_from_loss.md", "sha256": "8618d5dd57712254d41994fd007c6383576ff10a5a1074f96f866f9d2add8f36", "bytes": 94121 }, { "path": "01_VOLUME_A/A09_Scale_inversion.md", "sha256": "f5065a4149173f7ed9201d9b6f3eda75265667f82fac60ddc6a0ee85540691c0", "bytes": 101026 }, { "path": "01_VOLUME_A/A10_Function_without_mechanism.md", "sha256": "4f1e5df7bfdee396852644631c453926edf77e1cecf5775d84c63412351323db", "bytes": 96798 }, { "path": "01_VOLUME_A/A11_Mathematical_surprises.md", "sha256": "df2ebe0f2bb51a24bd76e5f2cf7cf3033b0d6a019ad4a73fab10290187e42c49", "bytes": 104245 }, { "path": "01_VOLUME_A/A12_Relational_phenomena.md", "sha256": "352b64eeb1208cbe3174e1407fcc613742b4ccb2c431d2dd99bec258d4af7053", "bytes": 100143 }, { "path": "01_VOLUME_A/VOLUME_A_COMPLETE.md", "sha256": "14542c5ab0b8a4a39b0138d9d81556142823ad74cc97a2e5dbc6126f152faf76", "bytes": 1215883 }, { "path": "01_VOLUME_A/parts/B01_p1.md", "sha256": "f9ef2ebed288736ef858f2643e5624a5deafb41e2f1d9705fbd2501a81a31607", "bytes": 30590 }, { "path": "01_VOLUME_A/parts/B01_p2.md", "sha256": "7e425a9f75c21e4a1706c5a7f68ed15986f88a60022e93912672f07c3a2b24d9", "bytes": 33018 }, { "path": "01_VOLUME_A/parts/B01_p3.md", "sha256": "18e199ddc30674bcf2b2dd92cba4a32d809abb38ae1a509b210603562b3a2516", "bytes": 28935 }, { "path": "01_VOLUME_A/parts/B02_p1.md", "sha256": "37a15f49e2f7587583013e89ea008950279c445ee16525a53800a2593f40c9ff", "bytes": 35405 }, { "path": "01_VOLUME_A/parts/B02_p2.md", "sha256": "f473288654837df015cdf67458cb0115257ec2ccbc74532d509f65068ab68e90", "bytes": 37121 }, { "path": "01_VOLUME_A/parts/B02_p3.md", "sha256": "1ae38cbad07306f987ad595152103d8d04775a881ee7cf41093d248ba71cb11e", "bytes": 31832 }, { "path": "01_VOLUME_A/parts/B03_p1.md", "sha256": "0cc84586a8393c06c44b875cc719b118aee66287e7764311bf43d144cad3cfc8", "bytes": 35097 }, { "path": "01_VOLUME_A/parts/B03_p2.md", "sha256": "c070c46f634944a740cccaeb632596718f267a03943464da56f4dfac129a678a", "bytes": 40067 }, { "path": "01_VOLUME_A/parts/B03_p3.md", "sha256": "069e9df9ebd62c00f050411fb2d637609678b1ec107c49a392fe964daa3290ae", "bytes": 35613 }, { "path": "01_VOLUME_A/parts/B04_p1.md", "sha256": "aea3d9304b73855ecdbb75c387985785ffc1442df3aed01eb9e7a46c17077b32", "bytes": 35372 }, { "path": "01_VOLUME_A/parts/B04_p2.md", "sha256": "c076178b69379ce4a457544d7896df2c4b9091feb5815679fb4a5679520f1b70", "bytes": 37776 }, { "path": "01_VOLUME_A/parts/B04_p3.md", "sha256": "3c03cccffb1c3499a6e66628514719e4f4d48aa88996ecb2a929738f4a473045", "bytes": 33409 }, { "path": "01_VOLUME_A/parts/B05_p1.md", "sha256": "77351d083a29328eed33c8a52acb0f86cae346faa8bb602834e194c6dec9e7ea", "bytes": 33753 }, { "path": "01_VOLUME_A/parts/B05_p2.md", "sha256": "1680a404c803c5340040128dbb1029785732a099214ea634b2e6b34d3dfa0727", "bytes": 36306 }, { "path": "01_VOLUME_A/parts/B05_p3.md", "sha256": "c5901f66a1350557d1ec220fdc2f44c9388292ef825fcfb36b3472270a165e3e", "bytes": 31124 }, { "path": "01_VOLUME_A/parts/B06_p1.md", "sha256": "265b39edd6eca255378ac770ce377d241f7cb229c31911ad8160683e92f6232d", "bytes": 35634 }, { "path": "01_VOLUME_A/parts/B06_p2.md", "sha256": "e06f7faca8b2f4f2d0d2f236731427e8ab721d9f262ee43c79cdecd984ca2d35", "bytes": 38404 }, { "path": "01_VOLUME_A/parts/B06_p3.md", "sha256": "60fda928049a8a5cf648e9c39005927c95522c811b57316dac6fb42d901c7865", "bytes": 33674 }, { "path": "01_VOLUME_A/parts/B07_p1.md", "sha256": "8355b15a7626eca9022300b0baa8861ccbcbe7c5394bf2888f8e2865151c053a", "bytes": 32076 }, { "path": "01_VOLUME_A/parts/B07_p2.md", "sha256": "9fc2f8463c0a39e9b34719723fc2e0c650da1f03c483724acd8d20569bc70ccf", "bytes": 33717 }, { "path": "01_VOLUME_A/parts/B07_p3.md", "sha256": "dc28ca75ff39408b42255f46e2936a2af64cf09a060a9354befc97014f39c60d", "bytes": 30868 }, { "path": "01_VOLUME_A/parts/B08_p1.md", "sha256": "7636c99363f44a18ef18906abd4b100e7eaa4a7ab7bcce2b8452252eaddd4621", "bytes": 32396 }, { "path": "01_VOLUME_A/parts/B08_p2.md", "sha256": "bfd5af7d3c7e4eb36130ff1e480e1acfa9c178e9ce0ac39562b5b66caa6394bd", "bytes": 33201 }, { "path": "01_VOLUME_A/parts/B08_p3.md", "sha256": "f5ae965a6d0d3ff72dad1e87633b49acbd7db9fe59089f96cf9a5cbc19744230", "bytes": 28498 }, { "path": "01_VOLUME_A/parts/B09_p1.md", "sha256": "6012d2bc7ad42dc4490c8663a49a81a8fe692311d0c833d870fa438d73448bad", "bytes": 32314 }, { "path": "01_VOLUME_A/parts/B09_p2.md", "sha256": "72825b16bfdf177c3062f0d9f8b6c601b47a560eb97bf4e4a801cf5c5c623830", "bytes": 36332 }, { "path": "01_VOLUME_A/parts/B09_p3.md", "sha256": "f36e2bb307ab4445443c0c2e69d8c97d39ed14f4f28085e23922efdcf6e55d47", "bytes": 32353 }, { "path": "01_VOLUME_A/parts/B10_p1.md", "sha256": "1562dcd45d76a6a583c64569e360e8b96718725e36707ae2c0020c0a97f2e0a3", "bytes": 32529 }, { "path": "01_VOLUME_A/parts/B10_p2.md", "sha256": "11b6bcf75fe8613d2629fde2e63a942163390f4cbdfcd49d86b2b8b111d6de66", "bytes": 34613 }, { "path": "01_VOLUME_A/parts/B10_p3.md", "sha256": "387537ed0af81ba22a07aa5c81436b8419781d13ff5e063dc2a70ca48a186537", "bytes": 29620 }, { "path": "01_VOLUME_A/parts/B11_p1.md", "sha256": "23c0779e6aa0473e93722fb1c7b28a86e4a1df945031a1513b96492a9454a07e", "bytes": 33776 }, { "path": "01_VOLUME_A/parts/B11_p2.md", "sha256": "8e7ff7a0fab300e5881941087c93bec487e86c58737d3fc835e346cd7502a037", "bytes": 37153 }, { "path": "01_VOLUME_A/parts/B11_p3.md", "sha256": "26e187b39cb46d3f3acd44606879fe6eb9396b2710d236b6dbd5f0c2e4bf116a", "bytes": 33284 }, { "path": "01_VOLUME_A/parts/B12_p1.md", "sha256": "260bd3c9cdc500c07bbf908ac9b1980172127ab63f76ba3b00260cdcdca8524c", "bytes": 34695 }, { "path": "01_VOLUME_A/parts/B12_p2.md", "sha256": "9013a9f3499540192c1471b8d5b42dd04c301b0828c37b6dde662d8c81f0c743", "bytes": 34647 }, { "path": "01_VOLUME_A/parts/B12_p3.md", "sha256": "ce47dcbaf4539e62ee8b25c8fe357834ccb4882b15dfa93b80b9a24a817b9f0c", "bytes": 30771 }, { "path": "02_VOLUME_B/SELECTION.md", "sha256": "90ca6df48bfdcd81b86fd01946eda3978ee3bb55605f1b7a0235b4cd41cec070", "bytes": 5326 }, { "path": "02_VOLUME_B/VOLUME_B_COMPLETE.md", "sha256": "93fb3eb7469be1efb9e0a98422a76adc08e2147905d3208dc0034f12a7ae1fe1", "bytes": 328824 }, { "path": "02_VOLUME_B/build_volume_b.py", "sha256": "31c161cf876cfa11842e4e204580ffd6cf85e0654f76cd7be7daa3028ead2ae2", "bytes": 4239 }, { "path": "02_VOLUME_B/dossiers/D01_E3-H253.md", "sha256": "5c1769bdf051306b7c25fd3cf0cef8f1bb33e68935987d913234e92f36ef3e41", "bytes": 10610 }, { "path": "02_VOLUME_B/dossiers/D02_E3-H031.md", "sha256": "5a61d9356016c3be193e253833178a365dde20d2a7b1800187f12656de79f311", "bytes": 10439 }, { "path": "02_VOLUME_B/dossiers/D03_E3-H183.md", "sha256": "9cff0fd10bd1fd1e7827cbaeed0355cfc50185b942e89675038ca3014a2349a9", "bytes": 10149 }, { "path": "02_VOLUME_B/dossiers/D04_E3-H053.md", "sha256": "5cc0afe325240932e007495ef86d1ce0311692f8062509c3947cd7a26a9f2f24", "bytes": 10527 }, { "path": "02_VOLUME_B/dossiers/D05_E3-H126.md", "sha256": "46338f2ce029c6a6373d5e9a16aefdb61fc1f82be1078d25c7b10887dfef97b2", "bytes": 10801 }, { "path": "02_VOLUME_B/dossiers/D06_E3-H106.md", "sha256": "d1030e78298f05c0f359e15bbc96e3bce7a8e23abaf4c2fb55924cb257a35f94", "bytes": 10856 }, { "path": "02_VOLUME_B/dossiers/D07_E3-H154.md", "sha256": "720798bd3fe303e8577ed28378aed88e2b3f0ac7ef23a0dd5f181f2f8bdee438", "bytes": 10632 }, { "path": "02_VOLUME_B/dossiers/D08_E3-H202.md", "sha256": "1dc794ff2448f2f1345d072ad38ab738d247d9a485f457f49e7b47d302028fc2", "bytes": 10531 }, { "path": "02_VOLUME_B/dossiers/D09_E3-H276.md", "sha256": "002c634b429b550cf3768d5fe9ff8595cd5ba4a01766f37d7e99566552b761f6", "bytes": 11931 }, { "path": "02_VOLUME_B/dossiers/D10_E3-H179.md", "sha256": "fd0ec6efa39ec934ff5c0c94a9e6bd7ff5ff887721356350cf73dceaea1d6248", "bytes": 12538 }, { "path": "02_VOLUME_B/dossiers/D11_E3-H019.md", "sha256": "5dc7199e6bf9f74ddad96ac0b4d7b06865756ec757eec3c69676aed89a497696", "bytes": 12142 }, { "path": "02_VOLUME_B/dossiers/D12_E3-H086.md", "sha256": "314d52f928412a79924fb2efb302b4abbf2d1597310276b844bad6460ecab3aa", "bytes": 11577 }, { "path": "02_VOLUME_B/dossiers/D13_E3-H233.md", "sha256": "b9cc3339da0a619f64f9be4d2b0b3a8b6bb5c8baa1e46daf84409cf8519ee121", "bytes": 10742 }, { "path": "02_VOLUME_B/dossiers/D14_E3-H129.md", "sha256": "a2c90d4a9b7073e0eebf62a4ae63a2b6cc31dfd7671c497912f7452803b614a7", "bytes": 10462 }, { "path": "02_VOLUME_B/dossiers/D15_E3-H051.md", "sha256": "6e8ce49ee5d157f8eb4429e8929bd2b69fd7933782d22698c1952cf3d36c964f", "bytes": 10658 }, { "path": "02_VOLUME_B/dossiers/D16_E3-H207.md", "sha256": "f62f2ab260b4278685a2d35808d1efd449ebff68f0eea26f9d1f84b1a22b8a7e", "bytes": 10961 }, { "path": "02_VOLUME_B/dossiers/D17_E3-H255.md", "sha256": "a05d4c0486f088e0084dc1ad659ad269b1c3ded3914bcbbf4b83089d239bc3d9", "bytes": 10774 }, { "path": "02_VOLUME_B/dossiers/D18_E3-H005.md", "sha256": "6a09fef694589f5f936e9bbf24dd781a9ba9fae3f67efd20e6e7417bd150ceaf", "bytes": 10501 }, { "path": "02_VOLUME_B/dossiers/D19_E3-H044.md", "sha256": "f8d5df70f76d3f42bc0ffecbf2e2222b6109dd543f26167c5cc272a3f15a2fe6", "bytes": 10405 }, { "path": "02_VOLUME_B/dossiers/D20_E3-H153.md", "sha256": "2225999e9136d8008aab6c14ed08696f6566e110afc766fe8b5c56fd68cab081", "bytes": 10960 }, { "path": "02_VOLUME_B/dossiers/D21_E3-H182.md", "sha256": "2d3d1cccd88fcea6b6fb0cfecfc73547a22aa44ffba2112af42657b7f19630c1", "bytes": 10941 }, { "path": "02_VOLUME_B/dossiers/D22_E3-H166.md", "sha256": "5405695b94bcd14812a0e07c8b476f16eb0002c70439fbc3a65d65f91e9e2ac0", "bytes": 11039 }, { "path": "02_VOLUME_B/dossiers/D23_E3-H121.md", "sha256": "c52327a879f91d36c2ec1daef7e5d4094e5d1dadcdfb468f2f301aff7a4c5d38", "bytes": 10608 }, { "path": "02_VOLUME_B/dossiers/D24_E3-H091.md", "sha256": "77c70e8c3d080b2eb711d6ff353dacb653dc1fcc70d5aae909a39dac6d3b7908", "bytes": 10820 }, { "path": "02_VOLUME_B/dossiers/D25_E3-H258.md", "sha256": "9a3db81c401b792c1afd34c5ba4ad11855d7ea8d13a579c8f96736bf790bbd03", "bytes": 10460 }, { "path": "02_VOLUME_B/dossiers/D26_E3-H105.md", "sha256": "544c26f7487397bbe4fc16e48d2f42ee294a9d3af8934329c2c93e098bbe8e60", "bytes": 10002 }, { "path": "02_VOLUME_B/dossiers/D27_E3-H226.md", "sha256": "8c5c0bc37be00861e646cdc026174e5cfd3b686bd9b67f36e37547f45ad0d907", "bytes": 10014 }, { "path": "02_VOLUME_B/dossiers/D28_E3-H277.md", "sha256": "7e40b41c359a1ecf2bc3e832d2326d1406bbb5894f5bc743b1bfaaa223b1cfb0", "bytes": 11036 }, { "path": "02_VOLUME_B/dossiers/D29_E3-H034.md", "sha256": "2e1709fe3ab7347a0c0818802d44d212fbe543cc896b6a5443e04ab5dc7fbfdf", "bytes": 10660 }, { "path": "02_VOLUME_B/dossiers/D30_E3-H009.md", "sha256": "655aaa7bf44fcaa08c9f5950ccd0bae8a739b9c34f4a0cd871e144124af3e478", "bytes": 10770 }, { "path": "03_VOLUME_C/C1_barrier_identity/REPORT.md", "sha256": "2d9105c9deb25c2ec55b6731d9acbb3662813b07ac807c8064b22edb8958cd73", "bytes": 4489 }, { "path": "03_VOLUME_C/C1_barrier_identity/c1_barriers.py", "sha256": "d53631d495bebfd559e2078bf0d6b21d16914884515c8d72db67a11de7de03e9", "bytes": 5247 }, { "path": "03_VOLUME_C/C2_braess_networks/REPORT.md", "sha256": "22df7a32a9955b58e6b8f1ebecde6ec135c48c3f38486df68fecf7b5403f4816", "bytes": 4750 }, { "path": "03_VOLUME_C/C2_braess_networks/c2_braess.py", "sha256": "e9faab4bc921e4f3a672b8c684375e4f1f7faba9ffea7afe5cc9f0fb937ba747", "bytes": 6400 }, { "path": "03_VOLUME_C/C3_pulse_coupling/REPORT.md", "sha256": "bf79c8075e03e23385af81db1e86d50fe65e0a6c1394ebfa018b4c5888f18511", "bytes": 4771 }, { "path": "03_VOLUME_C/C3_pulse_coupling/c3_pulse.py", "sha256": "9b0ee238dc7feb5bf87d819e1804f6b88a8d8899254159cd175dfc9f9e9c6469", "bytes": 4399 }, { "path": "03_VOLUME_C/VOLUME_C_COMPLETE.md", "sha256": "dddcfa75b14c6925b07b107258305d2d2f9e7b6648ecd31258df8eebf83abe72", "bytes": 3436 }, { "path": "04_VOLUME_D/ATLAS.md", "sha256": "4f6a29309786d9fbf5b4e23821843c21e7952b02321e595790178d1a16137ac6", "bytes": 9108 }, { "path": "05_SUPPORTING/HYPOTHESIS_CONTRACT.md", "sha256": "4acf6b10646d98508d0ab42193fa7de4e3a996de2c9ee42e3c4b19f67852c7b8", "bytes": 3510 }, { "path": "05_SUPPORTING/VOLUME_B_CONTRACT.md", "sha256": "ebd16875c8864531436fde40022f8a010c425306a6ab1b537d3ffd1f41c52818", "bytes": 2894 }, { "path": "05_SUPPORTING/build_volume_a.py", "sha256": "942e66f201fa3390832dd8d98e841fb9702015cee71e6cacae7f0f9c40c0e840", "bytes": 5469 }, { "path": "05_SUPPORTING/index_A.md", "sha256": "364ea3f933a6961c4c2526e14ec537ee97e5776b36752949d95e00d46c5c6bbd", "bytes": 40312 }, { "path": "README.md", "sha256": "e46343950ec906e0f5c6e29e3267863cfd8b695ec5edea43d7a51b5f29dbd766", "bytes": 6444 } ], "packaging_note": "Runtime .venv, __pycache__ and Finder metadata omitted; research source originals unchanged on Desktop." } ] }