ECF-7 · From Single-Variable to Discrete to Continuous Equations: A Structural Framework for Cosmic Evolution in the Emergence-Convergence Framework

Version: First upload Version description: First upload. This paper develops the cosmological evolution of the universe through three layer-wise unfoldings — global, local, continuous — from the single-variable generation equation, and locates the recovery positions of the standard physical equations within the framework. The paper includes: the configuration hypothesis in the authoritative differentiable form (strictly signed derivatives, ECF III §4.2); the recovery of the Abelian (U(1)) gauge/Maxwell field, canonical commutation (as a D-tier target form), and the Einstein equations (conditional on an induced effective metric with an Einstein–Hilbert action, to be established); the corrected phase-space coordinates of the local balance variables; the non-negative symmetric coupling kernel; and the A-tier presuppositions as the three original facts. The anchoring parameter λc is left for subsequent work.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22870273
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

ECF-7 · From Single-Variable to Discrete to Continuous Equations: A Structural Framework for Cosmic Evolution in the Emergence-Convergence Framework

Pengtai Huang
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

ECF-7 · From Single-Variable to Discrete to Continuous Equations: A Structural Framework for Cosmic Evolution in the Emergence-Convergence Framework

Pengtai Huang
preprint en

Abstract

Version: First upload Version description: First upload. This paper develops the cosmological evolution of the universe through three layer-wise unfoldings — global, local, continuous — from the single-variable generation equation, and locates the recovery positions of the standard physical equations within the framework. The paper includes: the configuration hypothesis in the authoritative differentiable form (strictly signed derivatives, ECF III §4.2); the recovery of the Abelian (U(1)) gauge/Maxwell field, canonical commutation (as a D-tier target form), and the Einstein equations (conditional on an induced effective metric with an Einstein–Hilbert action, to be established); the corrected phase-space coordinates of the local balance variables; the non-negative symmetric coupling kernel; and the A-tier presuppositions as the three original facts. The anchoring parameter λc is left for subsequent work.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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