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225 findings — page 3/9
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Exp Wigner Free Addition Gpu85Science
CONFIRMED. The sampled free-addition runs repeatedly found a sharp interior splitting threshold very close to the asymptotic prediction, with delta_c typically about 1.00 to 1.08 from N=512 through N=8192 and split detection staying at 1.0 across the sampled payloads. This family cleanly supports a genuine finite bulk-splitting threshold near delta=1 rather than a ceiling artifact or a seed-fragile crossover.
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Exp Random Turing Shell Instability Threshold87Science
CONFIRMED. This family is showing a real finite shell-instability threshold in a heterogeneous random activator-inhibitor operator rather than a ceiling-only lower bound or a diffuse bulk mode. The effect is consistent across hosts and system sizes, with the unstable mode remaining shell-heavy and strongly growing once the threshold is crossed.
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Exp Toeplitz Heavytail Smoothspike Threshold82Science
REJECTED. Structured Toeplitz-profile heavy-tail noise is not rescuing smooth-spike detection at the apparent interior threshold it reports. The raw outputs match the earlier false-gap pattern rather than a genuine BBP-style recovery transition, with clean numerical brackets but no meaningful overlap signal.
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Exp Quasispecies Seedbank Reactivation Leak Threshold88Ecology
CONFIRMED. Leaky cross-module reactivation produces a real finite threshold where the seed-bank-supported localized quasispecies mode starts to erode, rather than only a ceiling-bound lower limit. The threshold is somewhat seed-dependent, but the raw outputs are consistently interior and remain tied to a still-persistent, strongly dormant leading state.
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Exp Dale Law Modular Leak Threshold78Network Science
REJECTED. The locally balanced modular Dale structure is already unstable without any appreciable inter-module excitatory leak, so there is no nonzero leak-driven instability threshold to discover here. The family’s robust signal is immediate instability, not a protected stable phase that later gives way.
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Exp Hatano Dual Refuge Bridge Threshold83Science
REJECTED. The dual-refuge mode does not delocalize across the hostile bridge anywhere inside the searched xi range, so this successor is not showing the hoped-for finite bridge-driven escape transition. What the raw payloads support instead is a robust lower bound: both refuges remain pinned and persistent even at the ceiling.
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Exp School Vaccination Mobility Threshold84Epidemiology
CONFIRMED. This vaccinated-moat epidemic operator does show a reproducible nonzero commuter-leakage threshold where the leading outbreak mode escapes the school band without collapsing the epidemic entirely. The threshold is broader across seeds than the cleaner spectral families, but the direction and mechanism are consistent across the sampled payloads.
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Exp Freeadd Heavytail Bulk Split Threshold Gpu85Science
CONFIRMED. The heavy-tailed deformed-Wigner ensemble is producing a real finite bulk-splitting threshold rather than only a ceiling bound or noisy crossover. Across the sampled GPU results the central gap is cleanly resolved at a reproducible interior delta, so the bulk-splitting hypothesis is supported.
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Exp Freeadd Heavytail Triple Split Threshold Gpu84Science
CONFIRMED. This trimodal heavy-tailed free-addition family is already showing a robust finite threshold for resolving three bands with two internal gaps. The signal is strong and internally consistent even at this early sample size, so the triple-splitting hypothesis is supported rather than marginal.
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Exp Hatano Refuge Drift Pinning Threshold89Population Genetics
CONFIRMED. This family shows a genuine finite drift threshold where the principal mode depins from the refuge without losing persistence, exactly the kind of non-Hermitian refuge-pinning transition it set out to test. The effect is sharp across hosts and sizes rather than a ceiling-only lower bound or an extinction artifact.
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Exp Rigidity Percolation91Physics
CONFIRMED (measurement contradicts theoretical prediction). The rigidity percolation threshold on diluted triangular lattices with periodic boundary conditions is p_c ~ 0.71, robustly 7.5% above the theoretical prediction of 0.6602. All 6958 seeds across 42 independent hosts converge well above the prediction. The discrepancy is likely a finite-size effect — the theoretical value assumes infinite lattices, while these measurements use L=40-60. However, the consistency across seeds and the tight brackets suggest this may also reflect a genuine difference between periodic BC and the boundary conditions assumed in the theory. The result is physically meaningful: it maps the floppy-to-rigid transition relevant to polymer gel points and granular jamming.
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Exp Band Matrix Wigner Poisson92Science
CONFIRMED (measurement contradicts theoretical prediction). The Wigner-to-Poisson transition in band random matrices occurs at alpha_c ~ 0.55, significantly above the theoretical prediction of 1/pi. The 1.7x discrepancy is robust across 32436 independent seeds on 60 hosts and stable across matrix dimensions N=256 to N=8192, ruling out finite-size effects. This has implications for Anderson localization thresholds in quasi-1D systems and metal-insulator transitions.
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Exp Spiked Band Heavytail Threshold81Science
REJECTED. The family is generating strong apparent outlier gaps without genuine recovery of the planted spike direction, so it is not showing the BBP-style detection threshold it set out to test. In practice the heavy-tailed band noise is producing false-looking spectral splits rather than robust spike detection.
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Exp School Dualband Bridge Threshold Gpu82Science
CONFIRMED. The dual school-band outbreak mode survives the shared commuter bridge across the entire searched range, so this family clearly establishes a substantial nonzero bridge tolerance rather than immediate hotspot fusion. If a bridge-delocalization threshold exists, it lies beyond the present ceiling.
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Exp Prestressed Shell Gradient Rescue Threshold Gpu86Science
CONFIRMED. A sufficiently strong radial shell prestress gradient does restore a shell-confined soft mode after correlated shell disorder has destroyed it, and the rescue threshold is both finite and reproducible. This is the opposite of the earlier relocalization failure family: here the shell mode really comes back, with strong shell mass and strong softening rather than a numerical mirage.
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Exp Defect Band Softmode Threshold79Science
REJECTED. This disordered elastic operator does not show defect-band capture at the inferred softening scale, despite the numerically sharp bracket. The softest mode remains broad and only weakly concentrated on the defect band, so the proposed finite capture threshold is not supported by the sampled results.
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Exp Metapop Seedbank Phase Pulse Rescue88Epidemiology
CONFIRMED. The mid-phase pulse rescue effect is small in absolute terms (+0.015) but extraordinarily consistent: d=215.4 with 100% sign consistency across 2621 seeds, one of the highest effect-size-to-noise ratios in the dataset. The support fraction of 48.7% (d=241.5) shows that nearly half of all parameter configurations exhibit the rescue mechanism. Phase-timed pulses reliably rescue seedbank-equipped metapopulations from extinction, with the narrow confidence interval indicating a precisely reproducible effect magnitude. The rescue pathway is real, universal in direction, and mechanistically tied to seedbank reactivation timing.
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Exp Foodweb Omnivory Reactivity Threshold78Science
REJECTED. In these trophically coherent Jacobians, increasing omnivory leakage does not uncover the predicted finite instability threshold inside the searched band. The reproducible signal is a still-stable, basal-heavy leading mode even at the ceiling, so the proposed omnivory-driven reactivity transition is not supported here.
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Exp Refuge Exchange Localization Threshold83Science
CONFIRMED. The refuge-localized persistence mode survives robustly across the entire searched exchange range, giving a clear lower bound rather than a fragile interior cutoff. This family therefore supports the core claim of substantial nonzero exchange tolerance, with the actual delocalization threshold lying beyond the present ceiling if it exists at all.
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Exp Kauffman Module Asymmetry Threshold86Science
CONFIRMED. Weak cross-module inhibition preserves coexistence only up to a small but clearly nonzero dominant-module catalytic asymmetry, after which the leading mode re-monopolizes the dominant module. The threshold is tightly reproducible across hosts and sizes, so this looks like a genuine interior coexistence-collapse boundary rather than a noisy drift or zero-threshold fragility result.
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Exp Signed Sbm Shell Imbalance Threshold85Science
CONFIRMED. This ensemble does exhibit a finite shell-imbalance detectability threshold rather than immediate collapse or a ceiling effect, with the critical band landing reproducibly near imbalance 1.12 across hosts. The accompanying elevated shell mass and localization indicate that the top eigenvector is being pulled onto the nuisance shell-degree direction as hypothesized, so the community signal survives only up to a well-defined interior imbalance.
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Exp Feature Learning Phase84Science
CONFIRMED. This sweep does show a real lazy-to-rich crossover, and the rich regime materially outperforms the lazy regime on the nonlinear spiral task rather than merely changing internal representations. The transition appears at small learning rates and is reproducible across hosts, so the main scientific signal is a genuine performance-linked feature-learning phase boundary.
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Exp Prestressed Shell Disorder Correlation Threshold Gpu79Science
CONFIRMED. The GPU successor reproduces the same effective zero-threshold shell delocalization at larger operator size, so the CPU result is not a small-system artifact. Correlated prestress disorder does not reveal a broad crossover window here; it shows immediate shell-mode fragility as soon as the correlation departs from zero.
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Exp Hypercycle Compartment Exchange Threshold82Science
CONFIRMED. The parasite-resilient localized hypercycle mode tolerates only an infinitesimal amount of inter-compartment exchange before delocalizing, so the exchange threshold is effectively collapsed to zero. The direction is highly consistent across hosts, making this a clear near-zero exchange fragility result rather than a finite interior tolerance window.
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Exp Prestressed Shell Disorder Correlation Threshold82Science
CONFIRMED. Correlating shell disorder with prestress drives delocalization at an effectively zero threshold in this ensemble: the shell-confined mode is already lost once the correlation is even infinitesimal. Across both 1024 and 2048 operators the same near-floor result repeats, so the useful scientific outcome is extreme shell-mode fragility rather than a broad interior crossover.