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ZENODO
Preprint . 2026
License: CC BY NC
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY NC
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY NC
Data sources: Datacite
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The Return Vector: Cardinal and φ-Scaling Patterns in Cross-Continental Monument Bearings

Authors: Resonant Institute;

The Return Vector: Cardinal and φ-Scaling Patterns in Cross-Continental Monument Bearings

Abstract

This paper tests whether ancient monument orientations and inter-site bearings cluster on azimuths predicted by Energetic First Principles (E1P)—a theoretical framework describing universal process dynamics through four phases (AA, CC, CA, AC) mapped to cardinal directions and φ-derived angles. Using WGS84 geodesic calculations across eight sites (Göbekli Tepe, Giza, Stonehenge, Newgrange, Nabta Playa, Angkor Wat, Philae, Serpent Mound), we analyze 56 directed bearings against 13 E1P predictions. Results show 22 matches (39%) versus ~12% expected by chance, with the strongest signal at AC→AA (315°)—a "return/renewal" transition appearing independently in four cross-continental bearings. Extended φ-series testing reveals alignments at 360/φ³ and 360/φ⁴, including Nabta Playa → Philae at 52.50° (Δ = 0.02°, tightest match in network). We interpret these patterns as potential evidence for shared directional architecture encoding process-phase structure without requiring linguistic transmission. Exploratory. All calculations reproducible.

The companion Supplementary Materials Annex document contains complete 56-bearing table, 8×8 bearing and distance matrices, and detailed strong-match analysis. Also provided is the Python code needed for replication.

Keywords

cardinal alignments, Energetic First Principles, archeoastronomy, inter-site bearings, exploratory analysis, golden ratio, φ-scaling, E1P

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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