ECF I: Correlation Spectrum — Fundamental Principles of the Emergence-Convergence Framework

Version: Version 4.0 (new version; the concept DOI chain is preserved) Version description: This updated version carries the definitional refinements and the two-layer structure of the metric unfolding from the preceding version, and adds the following revisions: the configuration hypothesis is aligned with the authoritative form of ECF III §4.2 — differentiability with strictly signed derivatives is stated as an explicit part of the C-tier construct hypothesis, not a consequence of monotonicity alone; the self-dual structure is stated as the B-tier structural necessity of asymmetric self-elimination (a structural fact, not a dynamical process); the tier annotations are refined accordingly; the A-tier presuppositions are stated as the three original facts (P1, P2, and the original fact of non-alignment); and the LaTeX compilation issues (BOM, documentclass options, unused packages) are fixed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22869990
Primary Topic
Mathematics, Computing, and Information Processing
Type
preprint
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preprint

ECF I: Correlation Spectrum — Fundamental Principles of the Emergence-Convergence Framework

Pengtai Huang
Zenodo (CERN European Organization for Nuclear Research)
Mathematics, Computing, and Information Processing
preprint

ECF I: Correlation Spectrum — Fundamental Principles of the Emergence-Convergence Framework

Pengtai Huang
preprint en

Abstract

Version: Version 4.0 (new version; the concept DOI chain is preserved) Version description: This updated version carries the definitional refinements and the two-layer structure of the metric unfolding from the preceding version, and adds the following revisions: the configuration hypothesis is aligned with the authoritative form of ECF III §4.2 — differentiability with strictly signed derivatives is stated as an explicit part of the C-tier construct hypothesis, not a consequence of monotonicity alone; the self-dual structure is stated as the B-tier structural necessity of asymmetric self-elimination (a structural fact, not a dynamical process); the tier annotations are refined accordingly; the A-tier presuppositions are stated as the three original facts (P1, P2, and the original fact of non-alignment); and the LaTeX compilation issues (BOM, documentclass options, unused packages) are fixed.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Mathematics, Computing, and Information Processing
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