Re-Phase Vol.1.10: Orientation Note — From Map/Fiber/Kernel to Compatibility-Based Design

This orientation note explains how to read the Re-Phase framework after the transition from the early map/fiber/kernel viewpoint to the Level 0 compatibility-based design reading.The note clarifies that observation maps, inverse images, fibers, and kernels remain useful special cases, but are not the primitive layer of Re-Phase. The primitive layer is compatibility: conditions leave compatible candidates, accumulated conditions form admissible sets, contexts build order, recoverability sets the target, and indistinguishability organizes compatibility behavior.The note also emphasizes the three-side separation between the condition side, the configuration/admissible side, and the feature side. The condition side and feature side are not directly identified; they are compared through the common configuration/admissible side.This volume is a frozen reader orientation, not a complete volume index. It does not track current series status, planned extensions, or future DOI records.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-14
DOI
https://doi.org/10.5281/zenodo.20688129
Primary Topic
Photonic Crystal and Fiber Optics
Type
article
Field-Weighted Citation Impact
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article

Re-Phase Vol.1.10: Orientation Note — From Map/Fiber/Kernel to Compatibility-Based Design

Takashi Ito
Zenodo (CERN European Organization for Nuclear Research)
Photonic Crystal and Fiber Optics
article

Re-Phase Vol.1.10: Orientation Note — From Map/Fiber/Kernel to Compatibility-Based Design

Takashi Ito
article en

Abstract

This orientation note explains how to read the Re-Phase framework after the transition from the early map/fiber/kernel viewpoint to the Level 0 compatibility-based design reading.The note clarifies that observation maps, inverse images, fibers, and kernels remain useful special cases, but are not the primitive layer of Re-Phase. The primitive layer is compatibility: conditions leave compatible candidates, accumulated conditions form admissible sets, contexts build order, recoverability sets the target, and indistinguishability organizes compatibility behavior.The note also emphasizes the three-side separation between the condition side, the configuration/admissible side, and the feature side. The condition side and feature side are not directly identified; they are compared through the common configuration/admissible side.This volume is a frozen reader orientation, not a complete volume index. It does not track current series status, planned extensions, or future DOI records.

Zenodo (CERN European Organization for Nuclear Research)
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Photonic Crystal and Fiber Optics
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