Last updated: Version 8/9.0 (June 19, 2026)

Scientific analysis based on the primary source: Mildner, S. (2026). Geodynamic Reinterpretation Model for Ptolemy's Germania Magna: General Model Description, Cartometric Foundations, (v9.0). EarthArXiv (Preprint). https://doi.org/10.31223/X5KB51 (📥 Download NEW-v9.0-PDF)

Disclaimer

This article is a technical companion piece summarising what is new in Version 8/9.0 of the model. It does not repeat the cartometric, geodynamic, or narrative arguments already presented in the articles listed below — those remain current and are not superseded. Version 9.0 adds three independent robustness checks (a control-region comparison, a sequential Bayesian re-analysis, and a formal statistical power assessment) plus a new monograph part that gives the Long-Transgression hypothesis an explicit falsifiability framework. The model has not been evaluated by peer review.

Why a Fourth Layer of Robustness Checks?

The earlier articles on this site established the cartometric model (the affine baseline and the kinematic corrections), validated it with a formal out-of-sample blind test, and subjected it to a full statistical battery — AIC/BIC, leave-one-out cross-validation, bootstrap, permutation testing, and Moran's I. A subsequent update (v8.2) added an identification-multiverse analysis testing whether the result depends on which modern places are matched to which Ptolemaic names.

Last updated: Version 7.3 — Appendix C (June 08, 2026)

Scientific analysis based on the primary source: Mildner, S. (2026). Geodynamic Reinterpretation Model for Ptolemy’s Germania Magna: General Model Description, Cartometric Foundations, (v7.3). EarthArXiv (Preprint). https://doi.org/10.31223/X5KB51 (📥 Download NEW-v9.0-PDF) 

Disclaimer

This article presents a formal quantitative validation of the geodynamic reconstruction model introduced in the companion article. It does not constitute peer-reviewed research. All results are based on the publicly available Ptolemaic gazetteer of v7.1. The Saale-Unstrut Fragment Impact and related impact hypotheses remain working hypotheses not confirmed in the peer-reviewed impact-cratering literature.

Supplement to: Formal Out-of-Sample Blind Test and Extended Model Validation for Model v8

Last updated: v8[-Preview] (June 10, 2026)

Scientific analysis based on the primary source: Mildner, S. (2026). Geodynamic Reinterpretation Model for Ptolemy’s Germania Magna: General Model Description, Cartometric Foundations, (v8.0Preview). EarthArXiv (Preprint). https://doi.org/10.31223/X5KB51
(📥 Download NEW-v9.0-PDF) 

Builds upon: Mildner, S. (2025/2026). A new interpretation of Ptolemy's Germania Magna: Employing computer-assisted image distortion of a medieval map by Donnus Nicolaus Germanus to examine post-glacial geodynamics in Europe. EarthArXiv. https://doi.org/10.31223/X5313T
(📥 Download v5.0-PDF) (descriptive main publication)

Code and data archive: Zenodo, 10.5281/zenodo.10968193

1. Background and Version History

The companion article established that the kinematic block-deformation model (Model B) outperforms the affine baseline (Model A) by 29–49% in a genuine 70/30 out-of-sample blind test, with the G6 rotation prediction ($r_B=7.5\text{ km}$, estimated from a single training point) representing the strongest individual result. The parsimony argument in §14 of the primary preprint invokes the Akaike Information Criterion conceptually to motivate the significance of the blind-test result. This article presents the Extended Validation Suite underpinning the v8 Model Description.

Changes in v8[-Preview] relative to v7.3:

- The identification of S-C (Carrodunum) has been refined from the Kamenz–Spreetal/Nochten area to Bernsdorf (14.05°E, 51.38°N; Elster Cluster member). The cartometric residual $\mathrm{\Delta }\lambda =-70.0\text{ km}$ is unchanged. The Bernsdorf identification resolves a residual geographic ambiguity and is used as the primary reference for all v8 EC cluster statistics.
- As a consequence of the Bernsdorf calibration, the Model B residuals for the two blind-test EC points S6 and S7 shift marginally: $r_B(\text{S6})=31.8\text{ km}$ (was 28.5 km) and $r_B(\text{S7})=35.2\text{ km}$ (was 33.2 km). Both Wilcoxon results are identical to v7.3.
- The one-sample $t$-statistic for the EC cluster is updated to $t=-15.0$ under the v8 Bernsdorf identification; it remains far beyond any practical significance threshold.
- New: Falsification Test T39 — Moran's I spatial autocorrelation of the 22-point residual field (Section 10).
- New: Computational reproducibility appendix; full data and code archived at Zenodo (Section 13).

Scientific analysis based on the primary source: Mildner, S. (2025/2026). A new interpretation of Ptolemy's Germania Magna: Employing computer-assisted image distortion of a medieval map by Donnus Nicolaus Germanus to examine post-glacial geodynamics in Europe. EarthArXiv (Preprint). https://doi.org/10.31223/X5313T
(📥 Download v5.0-PDF)

Last updated: to Version v6 (May 24, 2026)
(📥 Download NEW-v9.0-PDF) 

The historical geography of Germania Magna remains one of the most challenging fields in classical studies and geodetic research. The currently paradigmatically influential reference model — the statistical-geodetic rectification of the TU Berlin group (Karlsen et al., 2011) — explains deviations between Ptolemaic coordinates and modern topography primarily as measurement errors of ancient instruments or as transmission artefacts.

The present model is based on a fundamentally opposing assumption. The primary explanatory principle is the recognition that the northern reference coastline of the Oceanus Germanicus lay approximately 120 km further south in antiquity. Medieval cartographers projected Ptolemy’s coordinates onto a landscape already altered by major 6th-century geodynamic processes. This produced a systematic northward stretching of the map image and a corresponding eastward displacement of eastern coordinates.

The cartometric foundation — a strictly affine transformation anchored on the invariant Rhine–Elbe baseline with a global scaling factor of ≈28 km per Ptolemaic degree of longitude — remains unchanged. The statistically irrefutable −93.1 km eastward displacement of the Elster Cluster is the empirical core result.