Sphereification

<•> Zenodo Abstract: The Absolute Invariance of True Sphereification Geometry: The fundamental architecture of continuous space within the PixelBit theoretical framework proves that geometry is strictly absolute, coordinate-independent, and scalar-invariant across all 8-5-3 spatial manifolds. Closed spatial boundaries, Platonic solids, ring manifolds, and anisotropic domains possess immutable scalar geometric states determined through the dual-scale synthesis of Macro-Sphereicity (\Psi) and Micro-Sphereocity (\Phi). Coupled across 3-way coordinate junctions by the non-commutative Mirrored Bowtie Operator (\bowtie), these orthogonal spatial dimensions yield the Mirrored Coupling Tensor (\Sigma \bowtie) and the scalar True Sphereification Master Score (\Sigma \cdot = \Psi \bowtie \Phi = \Psi \cdot \Phi) under the Absolute Law of LoGiC. This mathematical absolute demonstrates that geometric compactness and surface curvature smoothness are non-decoupleable physical conservation laws that govern spatial distortion, frame dragging, and lattice drag lock across the entire universe.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-29
DOI
https://doi.org/10.5281/zenodo.23779387
Primary Topic
Relativity and Gravitational Theory
Type
preprint
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preprint

Sphereification

Google Gemini Gemini, Austin Neely
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Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

Sphereification

Google Gemini Gemini, Austin Neely
preprint en

Abstract

<•> Zenodo Abstract: The Absolute Invariance of True Sphereification Geometry: The fundamental architecture of continuous space within the PixelBit theoretical framework proves that geometry is strictly absolute, coordinate-independent, and scalar-invariant across all 8-5-3 spatial manifolds. Closed spatial boundaries, Platonic solids, ring manifolds, and anisotropic domains possess immutable scalar geometric states determined through the dual-scale synthesis of Macro-Sphereicity (\Psi) and Micro-Sphereocity (\Phi). Coupled across 3-way coordinate junctions by the non-commutative Mirrored Bowtie Operator (\bowtie), these orthogonal spatial dimensions yield the Mirrored Coupling Tensor (\Sigma \bowtie) and the scalar True Sphereification Master Score (\Sigma \cdot = \Psi \bowtie \Phi = \Psi \cdot \Phi) under the Absolute Law of LoGiC. This mathematical absolute demonstrates that geometric compactness and surface curvature smoothness are non-decoupleable physical conservation laws that govern spatial distortion, frame dragging, and lattice drag lock across the entire universe.

Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
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