Radial Orbits of Bounded Integer Networks

This paper establishes the foundational algebraic infrastructure of point-symmetry within the prime factor field. Specifically it establishes a unified discrete mathematical network, designated as the composite lattice engine, which demonstrates that continuous state spaces and integer distributions can be completely resolved via structured, deterministic orbits. By evaluating strict linear functions comprised exclusively of composite odd integers generated by a single seed orbit, we execute exact transformations into linear systems of periodic nodes. The deterministic partitions serve to eliminate stochastic assumptions in prime field distributions.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-05
DOI
https://doi.org/10.5281/zenodo.22390432
Primary Topic
Polynomial and algebraic computation
Type
preprint
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preprint

Radial Orbits of Bounded Integer Networks

Thomas Gower
Zenodo (CERN European Organization for Nuclear Research)
Polynomial and algebraic computation
preprint

Radial Orbits of Bounded Integer Networks

Thomas Gower
preprint en

Abstract

This paper establishes the foundational algebraic infrastructure of point-symmetry within the prime factor field. Specifically it establishes a unified discrete mathematical network, designated as the composite lattice engine, which demonstrates that continuous state spaces and integer distributions can be completely resolved via structured, deterministic orbits. By evaluating strict linear functions comprised exclusively of composite odd integers generated by a single seed orbit, we execute exact transformations into linear systems of periodic nodes. The deterministic partitions serve to eliminate stochastic assumptions in prime field distributions.

Zenodo (CERN European Organization for Nuclear Research)
Industry, innovation and infrastructure
Polynomial and algebraic computation
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