| _version_ | 1866902166025797632 |
|---|---|
| author | Vang, Long |
| author_facet | Vang, Long |
| contents | <p>Addendum to the original Zenodo upload <em>Vang Scale Quantization: Discrete Quantization of Fundamental Physical Scales</em> (February 2026).</p><p>This addendum reports a rigorous null-hypothesis test of the 2-3-137 pattern X = (2^a * 3^b) * 10^(-137/n). Of 1620 candidate patterns, only 1 of 8 physical constants matches at <0.5% relative error, compared to 11 of 100 random targets in the same logarithmic range. The binomial p-value is 0.61, indicating no statistically significant preference of the pattern for physical constants over random targets.</p><p>The reported 0.01%-0.2% precisions in the original paper measure differences in log10 space, not standard relative error; the relative error on actual values is typically 0.3%-1.7%.</p><p>The pattern is best interpreted as a numerical coincidence exercise rather than a claim of underlying physical mechanism. The original paper is not retracted; this addendum provides proper statistical context.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20379794 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Vang Scale Quantization v3: Statistical Significance Addendum Vang, Long MOND cosmology fundamental constants null hypothesis test numerical pattern statistical significance <p>Addendum to the original Zenodo upload <em>Vang Scale Quantization: Discrete Quantization of Fundamental Physical Scales</em> (February 2026).</p><p>This addendum reports a rigorous null-hypothesis test of the 2-3-137 pattern X = (2^a * 3^b) * 10^(-137/n). Of 1620 candidate patterns, only 1 of 8 physical constants matches at <0.5% relative error, compared to 11 of 100 random targets in the same logarithmic range. The binomial p-value is 0.61, indicating no statistically significant preference of the pattern for physical constants over random targets.</p><p>The reported 0.01%-0.2% precisions in the original paper measure differences in log10 space, not standard relative error; the relative error on actual values is typically 0.3%-1.7%.</p><p>The pattern is best interpreted as a numerical coincidence exercise rather than a claim of underlying physical mechanism. The original paper is not retracted; this addendum provides proper statistical context.</p> |
| title | Vang Scale Quantization v3: Statistical Significance Addendum |
| topic | MOND cosmology fundamental constants null hypothesis test numerical pattern statistical significance |
| url | https://doi.org/10.5281/zenodo.20379794 |