Numerics & Theory
Claim-gated evidence for finite-velocity diffusion in quantum cosmology
QC Diffusion · Reproducible evidence
What the numerics establish—and what they do not
This site puts every numerical result beside its theoretical claim gate. A causal front, a passing code test, or a visually plausible density is never treated as convergence by itself.
Current evidence map
| Program | Result | Scientific meaning |
|---|---|---|
| Goldstein–Kac 1D | Passed | Reproduces the scalar telegraph equation in its exact one-dimensional setting |
| Isotropic 2D velocity jump | Failed target claim | Has a finite front but does not converge to the scalar 2D telegraph density |
| Factor ordering | Passed mapping check | An ordinary collision rate requires \(B \leq 0\) |
| Bianchi IX | Provisional signed evolution | The scalar field becomes negative; the finest outer-wall field difference remains 19.5% |
| Signed Bianchi IX particles | Provisional fixed-grid prototype | Signed weights and annihilation are available, but variance remains too large |
| Intertwiner diffusion | Passed basic model | Preserves four-valent SU(2) coupling admissibility at one node; many-node dynamics remain open |
Design inherited from TimesArrow
The site follows the sibling TimesArrow pattern:
- Quarto sources are canonical;
- run metadata and results live in a machine-readable registry;
- theory and numerics appear together;
- evidence status is visible at the point of presentation;
- generated artifacts are reproducible from a single runner.