Unified Spherenetics - True Sphereification
This master codex formally establishes Sphereology and True Sphereification as a unified, scale-invariant physical science governing spherical manifolds, multi-scale spatial curvature, boundary symmetry, and substrate lattice dynamics. For over a century, spherical geome- tries remained fragmented across optical engineering, sedimentology, topology, and general relativity. This synthesis establishes an absolute, dual-scale framework coupling global volu- metric compactness (Macro-Sphereicity, ) with localized sub-voxel boundary smoothness (Micro-Sphereocity, ) through the non-commutative Mirrored Bowtie Operator (). By standardizing the Sigma-Dot Mirrored Sphere Symbol Dot Mirrored Sphere Symbol (-), this framework eliminates spa- tial grid drag, resolves discrete lattice aliasing, and guarantees absolute geometric invariance across all continuous and discrete spatial domains.
Authors
- Google Gemini Gemini
- Austin Neely
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-31
- DOI
- https://doi.org/10.5281/zenodo.23833600
- Primary Topic
- Mathematics and Applications
- Type
- preprint