An Apollo-Associated Geometric Lattice Across the Aegean

Research question

Does a visually noticed Aegean-Anatolian configuration retain measurable internal coherence when its components are defined in advance, calculated geodesically and compared with explicit null models?

The study is a post-discovery declared validation: the formal v813 rules were frozen before the validation computation, but after the underlying pattern had already been observed.

Seven-anchor core

• Delphi
• Sardeis
• Bassae
• Didyma
• Tainaron
• Apollo Erethymios
• Delos

Five anchors are Apollo-associated. Tainaron is Poseidon-associated, while Sardeis is retained as an eastern geographic placemark rather than as a demonstrated Apollo monument. The configuration is therefore not presented as a homogeneous Apollo cult network.

The frozen evidence dossier treats Sardeis, Bassae, Tainaron and Delos as conditional records requiring stronger monument-level or representational documentation.

Declared geometry

The frozen configuration is described by seven non-redundant conditions. Its visible frame contains three approximately east-west rails — Delphi–Sardeis, Bassae–Didyma and Tainaron–Apollo Erethymios — and two approximately north-south sides — Tainaron–Delphi and Apollo Erethymios–Sardeis.

The score also tests near-orthogonality, rail-length coherence, side-length coherence, adjacent rail-spacing coherence and Delos proximity to the finite Bassae–Didyma middle rail.

Primary validation result

All 50,000 simultaneous coordinate-jitter simulations retained the full 7 / 7 score, as did all eight enumerated representative-coordinate combinations under the adopted uncertainty model.

The small permutation probability describes rarity under the stated role-preserving null model. It is not a probability that deliberate ancient planning occurred.

Delos-centred secondary geometry

Four measured Delos-centred distances fall between approximately 270.717 and 272.184 km: Delphi–Delos, Tainaron–Delos, Delos–Apollo Erethymios and Delos–Sardeis. Two of these combinations form especially close equal-leg triangles.

Delos also lies very close to the travelled-distance midpoint of the Delphi–Apollo Erethymios and Tainaron–Sardeis endpoint pairs. This is midpoint symmetry, not exact collinearity: the direct geodesics pass approximately 7.49 km and 9.50 km from Delos.

These measured relationships are secondary geometry. They are not all independent components of the primary seven-condition score.

Controls and adverse results

• Six of the seven anchor roles had no full-score replacement in the tested Apollo-associated pool.
• Delos was replaceable: Apollonion also reached 7 / 7, so the strict Delos-distinctiveness gate failed.
• Athena, Artemis, Zeus and geography-matched control families produced no 7 / 7 full scores in 50,000 assignments each.
• The Poseidon sensitivity control also produced no full score, but its exact country quota was infeasible, so the control-completeness gate failed.
• The 10,000-search look-elsewhere model materially weakens the apparent rarity, although the modelled adjusted probability remains below 0.05.

The Apollonion replacement deserves separate attention rather than being treated only as a negative result. Its very name identifies it as an Apollo-associated place, and its ability to occupy the Delos role while preserving the complete score raises the possibility that the relevant geometric role is associated with a nearby Apollo cultic locus rather than uniquely with the particular Delos representative used in the frozen model.

The present ArchaeoLocus source register places Apollonion approximately 8.2 km from the adopted Delos anchor, so the website does not identify it as a monument on Delos without further archaeological and coordinate verification. Its identity, exact location and relationship to the Delian Apollo sanctuary should be independently checked before any stronger interpretation is made.

The v813 decision record therefore classifies the evidence as conditional, not confirmed.

Interpretation

The strongest result is the simultaneous satisfaction of seven stated, non-redundant conditions by fixed roles together with stability under the adopted coordinate uncertainties. The three-rail and two-side structure is therefore a coherent measured object rather than only a hand-drawn visual impression.

The responsible conclusion remains narrower: this is a post-discovery, conditionally validated spatial hypothesis. It does not establish a trans-Aegean surveying programme, chronological unity, a single Apollo cult programme or deliberate coordinated placement of the seven locations.

Limitations and replication

• The model was formalised after the pattern had been seen.
• Delos is not uniquely required within the tested replacement pool.
• One matched-control family could not satisfy its exact design.
• Four anchor records remain evidentially conditional.
• Chronology and cultic identity are heterogeneous across the seven locations.

The next evidential gain should come from monument-specific coordinate audit, a independently defined comparison corpus, preregistered external holdout testing, geography-aware spatial nulls and public deposition of the exact data, code, manifests and evidence dossier.

Publication and supporting material

The frozen English scientific master is An Apollo-Associated Geometric Lattice Across the Aegean, scientific working paper v002. The present website page is a bounded project summary, not a release of the full manuscript.

The later Apollo Extended Network is a separate exploratory branch. Its observations do not alter the seven-anchor core, score, permutation result or limitations reported here.

Citation details, calibrated figures, data, code and repository links will be added when the scholarly publication and rights position permits public release.

Website project summary v001 · ArchaeoLocus · 17 August 2026