# Spectrum Validation

Generated: 2026-04-30T07:31:24.037Z

## Method

This validation calibrates the HDC scalar gap to the lattice `0++` reference value, then predicts the remaining SU(3) glueball spectrum channels using provisional HDC operator-response factors.

Calibration source: Michael & Teper 1989, https://doi.org/10.1016/0550-3213(89)90156-9

Default HDC gap: 0.324283

## Results

| Channel | Lattice ratio | HDC predicted ratio | Error | Status |
| --- | ---: | ---: | ---: | --- |
| 0++ | 3.50 +/- 0.20 | 3.50 | 0.0% (0.00 sigma) | calibration |
| 2++ | 5.30 +/- 0.20 | 5.18 | -2.3% (-0.60 sigma) | pass |
| 0-+ | 5.30 +/- 0.20 | 5.25 | -0.9% (-0.25 sigma) | pass |
| 1+- | 6.90 +/- 0.50 | 6.93 | 0.4% (0.06 sigma) | pass |
| 2+- | 6.60 +/- 1.00 | 7.31 | 10.8% (0.71 sigma) | pass |

## Summary

- RMS percent error across predicted channels: 5.56%
- Max sigma error across predicted channels: 0.71
- Verdict: provisional pass within coarse legacy lattice uncertainties

## Caveat

These channel factors are provisional HDC operator-response factors. They are suitable for falsifiable simulator validation, not for claiming QCD equivalence.