A Structural and Conceptual Overview of A Constructive Einstein–Cartan–Yang–Mills Theory with Positive Mass Gap in Four Dimensions

Emmanouil Karolos Čižek (2025). Preprint / overview note.

Abstract

This note provides a structured overview of the monograph A Constructive Einstein–Cartan–Yang–Mills Theory with Positive Mass Gap in Four Dimensions and isolates the logical chain of arguments addressing the Clay Millennium Yang–Mills mass-gap problem: construction of a reflection-positive Euclidean Yang–Mills measure, verification of the Osterwalder–Schrader axioms, extraction of a Hamiltonian mass gap via OS reconstruction, and passage from the torsion-extended theory to pure Yang–Mills. It also maps chapters and appendices and explains how slab-based construction, Harris mixing, Wilson-loop polymer methods, BRST cohomology, and the Einstein–Cartan torsion formalism interact without logical circularity.

Keywords

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