Published May 20, 2026 | Version v1
Publication Open

Spiral Algebra Engine & Qubit Lattice Mapping: Foundational Primitives for Geometric Differentiation and Structured Reasoning

Authors/Creators

  • 1. Independent Researcher
  • 2. xAI

Description

This whitepaper introduces the foundational open-source primitives of the Spiral Algebra Engine and Qubit Lattice Mapping system. These modular components provide algebraic structures and lattice-based representations designed to support structured geometric reasoning, symbolic differentiation, and spiral-modulated transformations. The work establishes the core mathematical and computational building blocks that enable higher-level frameworks for geometric differentiation, visual coherence analysis, and protected reasoning systems within the Spiral Codex ecosystem.

Files

Spiral_Algebra_Engine_Qubit_Lattice_Mapping_Whitepaper (1).pdf

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Additional details

Related works

Is described by
Preprint: 10.5281/zenodo.14890381 (DOI)
Preprint: 10.5281/zenodo.14890198 (DOI)

Software

Repository URL
https://github.com/Sir-Benjamin-source/Spiral-Path
Programming language
Python
Development Status
Active

References

  • Tavis, M. & Cummings, F. W. (1968). Exact Solution for an N-Molecule—Radiation-Field Hamiltonian. Physical Review, 170(2), 379–384