What question did this study set out to answer?

To establish a comprehensive framework linking various physical scales and their relationships within the PATON System.

July 3, 2026Open Access

Recursive Continuity Geometry Across Physical Scale: Master Contents and Cross-Reference Index

Key Points

To establish a comprehensive framework linking various physical scales and their relationships within the PATON System.
Developed an umbrella framework and seven application papers
Mapped relationships from quarks to macroscopic systems
Defined a shared mathematical interface and terminologies for consistency
Established a systematic approach for physical closure sequences across scales
Developed a canonical sequence and classification for related papers
Unified terminology and cross-references enhance the framework's accessibility

Abstract

Master contents, cross-reference index and series-control document for the complete eight-paper Recursive Continuity Geometry Across Physical Scale series within The PATON System. The series consists of one umbrella framework and seven dedicated application papers. Together they map the physical closure sequence from quark–gluon relations through hadrons, nuclei, atoms, molecules, materials, cellular systems, and macroscopic or continuum closure. This document fixes the canonical paper sequence, titles, versions, branch classifications, shared SFM 2.0 mathematical interface, symbol control, terminology, cross-references and continuity-handover structure used throughout the series. Individual paper records: Paper 1 — 10.5281/zenodo.21109037 Paper 2 — 10.5281/zenodo.21109092 Paper 3 — 10.5281/zenodo.21109142 Paper 4 — 10.5281/zenodo.21109205 Paper 5 — 10.5281/zenodo.21109238 Paper 6 — 10.5281/zenodo.21109310 Paper 7 — 10.5281/zenodo.21109375 Paper 8 — 10.5281/zenodo.21109430

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