Earth: Day Zero · Paper 009 of 512

Geometric Domains on a Sphere

The Earth: Day Zero framework does not begin with points. It begins with domains.

A planetary-scale reconstruction must account for uncertainty in location, deformation, plate motion, erosion, and incomplete preservation. Treating candidate structures as domains rather than precise points better reflects the limitations of the geological record.

Why Domains Matter

A point implies exactness. A domain acknowledges uncertainty.

Candidate entrance regions, exit regions, and midpoint regions occupy finite areas that may contain multiple structures, overlapping signatures, or partially preserved evidence. Domain-based reconstruction therefore avoids premature precision.

Spherical Geometry

Because Earth approximates a rotating sphere, large-scale spatial relationships must be evaluated using spherical geometry rather than planar geometry.

Distances, alignments, midpoint relationships, and reconstruction pathways should be evaluated using geodesic relationships and great-circle frameworks where appropriate.

Domain Hierarchies

The framework recognizes multiple scales of domains:

  1. global domains;
  2. regional domains;
  3. local domains;
  4. candidate feature domains.

Each level contributes different information and may preserve different classes of evidence.

Operational Definition

For Earth: Day Zero, a geometric domain is defined as a spatially bounded region that satisfies one or more proposed reconstruction constraints and can be independently evaluated using geological, geophysical, geometric, or chronological evidence.

The next paper establishes the first of these candidate domains: the entrance domain.


Research Collaboration

Published by Ontomics Research Library. Ontomics develops scientific frameworks, planetary science investigations, Earth–Moon system research, geodesic analysis, external R&D initiatives, and collaborative framework development.