RREF and Jordan Normal Form as Dual Generative Phases: A Unified Framework via Generative Geometry

This paper presents a unified framework where RREF and Jordan normal form arise as dual generative phases within a single geometric structure. Generative tiles, chains, invariants, and canonical tilings collectively describe linear operators through generative geometry.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-17
DOI
https://doi.org/10.5281/zenodo.22814516
Primary Topic
Quasicrystal Structures and Properties
Type
article
Field-Weighted Citation Impact
0.00
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article

RREF and Jordan Normal Form as Dual Generative Phases: A Unified Framework via Generative Geometry

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
article

RREF and Jordan Normal Form as Dual Generative Phases: A Unified Framework via Generative Geometry

Shin Tamaki
article en

Abstract

This paper presents a unified framework where RREF and Jordan normal form arise as dual generative phases within a single geometric structure. Generative tiles, chains, invariants, and canonical tilings collectively describe linear operators through generative geometry.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 24%
Quasicrystal Structures and Properties
DOIOpen Access PDFOpenAlex
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RREF and Jordan Normal Form as Dual Generative Phases: A Unified Framework via Generative Geometry — Shin Tamaki · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS