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225 findings — page 5/9
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Exp Sparse Wigner Tw Edge86Science
CONFIRMED The edge statistics in this sparse-Wigner pipeline do not approach the Tracy-Widom skew profile anywhere in the sampled sparsity window, and the deviation is strongest and most stable at N=512. The scientific point is not merely a noisy failure of one condition: the whole large-N branch sits in a near-symmetric, strongly shifted edge regime rather than the expected TW scaling window. That is consistent with a mechanism where sparsity-induced localization or finite-connectivity structure dominates the edge fluctuations before universal dense-matrix behavior can emerge. In practical terms, the leading eigenvalue is being set by sparse-graph structure, not by the classical collective edge fluctuations of dense Wigner theory.
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Exp May Ecosystem Stability Structure84Ecology
CONFIRMED. The stability threshold depends strongly on interaction structure rather than following a single random-matrix baseline. Relative to the random case at 1.05863, modular networks shift upward to 1.11282, nested networks shift downward to 1.03467, and predator-prey structure drops much further to 0.66458. Those gaps are large and well resolved, with modular-random +0.05419, nested-random -0.02396, and predator-prey-random -0.39405. This shows that May's criterion needs structure-dependent corrections, with modularity stabilizing and nested or antagonistic organization destabilizing the system earlier.
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Exp Muller Ratchet Fluctuating Metapop61Population Genetics
CONFIRMED. The data support an intermediate migration optimum, but the effect of environmental persistence is shallow rather than transformative. The best persistent migration rate, 0.07807, is essentially identical to the best asynchronous rate, 0.07833, and the minimum click rates differ only slightly at 0.01056 versus 0.01069. The sync_rescue_gap_mean is only +3.53e-06 with uncertainty larger than the mean, so there is no measurable synchronization-rescue mechanism behind the improvement. The supported conclusion is therefore a modest lowering of the ratchet floor under persistence, not a persistence-specific shift in where the optimum migration band lies.
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Exp Fpp Fluctuation Exponent50Science
NO EFFECT The largest scalar shift is either too small in magnitude or too inconsistent across seeds to clear the decision thresholds. In the current window this family behaves like noise or a weak effect, not a robust phenomenon.
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Band Rmt Localization Gpu84Statistics
CONFIRMED. The spacing-ratio curves are tightly ordered and nearly collapse when plotted against W/sqrt(N), with cross-ratio CV only 0.04250 across size tiers. The crossover location drifts only modestly from 0.5077 to 0.5648 as size increases, which is consistent with a controlled finite-size approach to a single scaling variable. On the smallest resolved tier, r rises from 0.45243 at W/sqrt(N)=0.5 to 0.51407 at 1.0 and 0.53088 at 5.0, reaching the GOE-like regime rather than stalling at an intermediate value. This supports the claimed localization crossover and shows that residual size effects are small enough to quantify instead of obscuring the transition.
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Exp Atmospheric River Orographic Bridge Threshold68Science
REJECTED. Stronger orographic recirculation is clearly producing a large reactive amplification mode, but it does not reorganize into the balanced coastal-ridge-interior bridge state the experiment tests for anywhere in the scanned band. Because the threshold search saturates at the sigma ceiling while coast-interior balance remains decisively subcritical across sizes, the proposed finite bridge-amplification threshold is not supported.
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Exp Foodweb Refuge Omnivory Escape Threshold77Science
REJECTED. Omnivory leakage can push some weight upward out of the refuge band, but not in the persistent way this family requires; the would-be escaped states remain non-growing rather than becoming a viable top-heavy leading mode. This is therefore not a finite omnivory-escape threshold but a ceiling-saturated failure of the persistence criterion.
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Exp Hydrogel Sacrificial Bridge Softmode Threshold64Science
REJECTED. Softening the sacrificial corridor does not drive the lowest mode into the hypothesized bridge-loaded takeover anywhere in the explored band. The scan already saturates at the beta ceiling while bridge mass stays an order of magnitude too small, so the finite bridge-threshold claim is not supported.
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Exp Phage Crispr Slipped Spacer Bridge Threshold Gpu66Science
REJECTED. Slipped-spacer diversification plus lysogenic refuge is broadening the escape cloud, but it is not yielding the hypothesized balanced dual-escape bridge within the explored range. The search saturates at the sigma ceiling while the secondary-balance criterion remains decisively unmet, so the finite threshold claim is not supported.
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Exp Antigenic Valley Bifurcation Threshold Gpu68Nonlinear Dynamics
REJECTED. Deepening the central immune valley does not fracture the delocalized antigenic cloud into two comparable escape peaks within the scanned range. The cloud remains bridge-dominated and strongly one-sided all the way to the valley-depth ceiling, so the proposed finite bifurcation threshold is not supported.
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Exp Foodweb Detrital Loop Reactivity Threshold70Science
REJECTED. There is no finite detrital-loop reactivity threshold in the scanned band. The sampled systems are already loop-heavy at essentially zero forcing and remain non-reactive, so stronger detrital coupling is neither creating a new relocalization event nor driving a reactive crossover.
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Exp Consumer Resource Detrital Rescue Threshold71Science
REJECTED. Stronger detrital recycling is not rescuing an otherwise unstable mismatched community anywhere in the scanned band. The system is already linearly stable at essentially zero recycling, and the dominant mode remains basal rather than relocating onto a detrital-decomposer bridge.
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Exp Prestressed Shell Arc Frustration Threshold Gpu69Science
REJECTED. Competing boundary frustration is not destroying the prestress-rescued antiphase arc capture anywhere in the explored range. The sampled outputs stay deep inside the captured regime all the way to the scan ceiling, so the proposed frustration-driven loss threshold is not supported.
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Exp Dale Law Depression Reactivity Threshold72Science
REJECTED. The proposed finite depression threshold is not supported in this Dale-law ensemble. The sampled outputs indicate that the leading mode is already diffuse rather than assembly-localized at baseline, so there is no assembly-driven reactive state for selective excitatory depression to quench at positive rho.
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Exp Consumer Resource Recycling Directionality Threshold Gpu Gpu67Science
REJECTED. The stressed consumer-resource Jacobian does not require a finite recycling-directionality threshold to restabilize; in the sampled runs it is already stable or nearly stable at effectively zero directionality. That collapses the claimed finite rescue mechanism rather than confirming it.
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Exp Foodweb Trophic Selfreg Reactivity Threshold Gpu Gpu69Ecology
REJECTED. Top-layer self-regulation is not suppressing the earlier food-web reactivity threshold anywhere inside the searched band. The queue is a clean ceiling-saturated null: transient amplification remains fully active and structurally similar even at maximal rho.
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Exp Random Turing Shell Anisotropy Threshold Gpu Gpu71Science
REJECTED. There is no finite shell-anisotropy collapse threshold in the scanned regime because the shell-localized leading mode is already absent at baseline. This family fails before the intended mechanism even turns on, so the proposed finite chi-driven delocalization is not supported.
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Exp Dale Law Reciprocal Motif Rescue Threshold71Science
REJECTED. Reciprocal excitatory-inhibitory motifs are not rescuing this clustered-inhibition Dale-law instability anywhere inside the scanned range. The queue is a textbook ceiling-saturated null result, with the dominant mode remaining strongly unstable and only weakly module-concentrated even at maximal reciprocal coupling.
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Exp Prestressed Shell Delocalization Threshold Gpu77Science
CONFIRMED. The shell-to-core coupling does produce a sharp interior threshold where the lowest soft mode stops being shell-confined. What delocalizes here is the shell preference, not the spatial concentration itself: the mode remains strongly localized but spills decisively into the bulk once rho reaches about 1.3.
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Exp Modular Brace Weakmodule Capture Threshold Gpu67Network Science
REJECTED. Fixed inter-module bracing is not allowing the softest mode to collapse onto the weakened module anywhere in the scanned weakening band. The sampled runs all point the opposite way: the mode stays broadly distributed across modules with no sign of approaching the weak-module capture criterion.
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Exp Age Immunity Bridge Threshold68Science
REJECTED. Increasing intergenerational bridge contact is not handing the leading outbreak mode to the caregiver band anywhere in the scanned range. The sampled runs all point the opposite way: the adolescent immunity gap keeps the dominant mode localized on the younger band even at the maximum tested bridge strength.
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Exp Autocatalytic Reservoir Leakage Threshold66Science
REJECTED. Cross-module reservoir leakage is not erasing the protected module-localized growth mode anywhere inside the scanned band. The sampled outputs show the opposite tendency: the dominant module remains strong and becomes more isolated as system size grows, so the proposed finite leakage-collapse threshold is not supported.
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Exp Microgrid Islanding Inertia Clustering Threshold67Science
REJECTED. Concentrating the inertia deficit into one island is not producing the claimed localized oscillatory-instability threshold within the scanned band. The queue saturates at the ceiling while remaining too weakly cluster-focused to support the hypothesis.
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Exp Representation Alignment72Science
CONFIRMED. Wider networks do converge to markedly more similar hidden representations across seeds in this setup, matching the intended lazy-regime alignment hypothesis. The monotone rise in CKA with width is too strong and persistent across sampled payloads to dismiss as noise, even though the deeper two-layer variant remains less uniform.
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Exp Prestressed Shell Defect Ladder Threshold76Science
REJECTED. The staggered defect ladder never recaptures the prestress-rescued shell mode anywhere inside the scanned band, including the ceiling-saturated runs. This successor resolves the old defect-chain ambiguity by showing a stable shell-dominated regime with no finite ladder-capture threshold under the current design.