Modal + REBOUND/IAS15 validation

Known orbits become an evidence instrument.

A 101-row periodic three-body catalog rung runs remotely, emits a real trajectory tensor, and feeds this browser animation. The same artifact discipline carries into cardiac signal validation.

For reviewers, collaborators, and compute partners: this page shows public-safe evidence packets, not a product claim or solver ranking.

101remote rows
93passed thresholds
IAS15REBOUND backend
360frames per orbit

101 rows were run; 93 passed all thresholds; 8 failures are preserved for audit. That is a 92.1% pass fraction against a 90% catalog gate.

Reader guide

What this page is for

The interface turns a saved N-body validation artifact and a saved cardiac signal-processing artifact into an inspectable public surface. The terms below are operational labels for the evidence packet.

RungA bounded validation step in a larger ladder.
SidecarA machine-readable file emitted beside the report.
Parity gateA check that two implementations agree within a declared tolerance.
Invariant thresholdA pass/fail bound on conserved quantities or return error.
Trajectory tensorOrbit positions stored by trajectory, frame, body, and coordinate.
Artifact disciplineClaims stay tied to saved results, reports, and hashes.

Why Modal should care

SOTA delta table for this project

Variable Common field reference Current MendozaLab rung Delta Modal can amplify
Scale Catalog breadth Literature catalogs range from tens to thousands of known periodic three-body families. 60-row pass gate and 101-row trajectory rung from source-verifiable numeric rows. Scale curated validation ladders from 101 toward larger literature catalogs with reproducible job logs.
Rigor Reference backend High-accuracy N-body work expects trusted integrators and invariant diagnostics. Remote REBOUND/IAS15 jobs with energy, angular momentum, center-of-mass, and period-return checks. Make backend parity visible across many independent jobs, not just local notebooks.
Batch Parallel execution Independent orbit integrations are naturally batch-parallel but often published as static tables. Modal Function.map runs independent known-orbit jobs; no detached sweep used in this gate. Move from validation batches to scheduled, auditable sweeps without changing the artifact contract.
Artifact Trajectory tensors Tables and plots are usually separated from reproducible simulation artifacts. 101 trajectories x 360 frames x 3 bodies emitted as a sidecar and rendered in the browser. Turn compute output into inspection-ready media for reviewers, collaborators, and grant panels.
Audit Negative evidence Failed orbit returns often disappear into tuning notes. 101 rung preserves 8 diagnostic failures while still passing the 90% catalog gate. Modal logs make failure rows auditable instead of hidden, improving trust in the benchmark.
Kernel Scaling backend Python orchestration is convenient; compiled kernels are preferred for sustained throughput. REBOUND remains the reference; Rust is the next parity-and-scale path, not a replacement claim. Use Modal to compare Python reference, REBOUND, and Rust kernels under the same registry.
Surface Audience translation Scientific simulations rarely become customer-readable evidence products. N-body and cardio panels share one artifact-backed interface. Show Modal as the compute layer behind evidence people can inspect, not just a backend bill.

Cosmos / N-body

101 known-orbit rows, not an orbit-discovery claim.

The catalog rung uses source-verifiable initial conditions, remote REBOUND/IAS15 integration, and invariant thresholds. The browser view reads the trajectory sidecar, so the visual is tied to the run artifact.

Status
loading
Pass fraction
loading
Trajectory SHA-256
loading

Cardio proof panel

Artifact-backed signal rigor.

No clinical endorsement language. This panel only exposes saved validation facts from the Rust/Python parity full-pass artifact.

Parity gate
PASS at 1e-12
MIT-BIH PVC AUC
0.901
INCART PVC AUC
0.908
PTBXL AFIB V1 AUC
0.981

The two panels are intentionally asymmetric: N-body shows run reproducibility and trajectory hashes; Cardio shows saved classifier readouts. They share artifact discipline, not identical evidence types.

Claim filter: known-orbit validation and artifact-backed cardiac signal-processing readout only. No discovery assertion, no clinical-use assertion, no institutional endorsement, no formal-math overclaim.