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The Vacuum Has Steps

Emmanouil Karolos Čižek (2025). Explanatory article / preprint.

PDF: paper.pdf

DOI (Zenodo): doi:10.5281/zenodo.17929933

ORCID: 0009-0009-9099-6086

Version: v1 (2025-12-14)

Description

A monograph-length programme proposes a fully rigorous construction of four-dimensional Yang–Mills theory and a quantitative mass gap, using a blend of Euclidean probability, multiscale renormalisation, and Einstein–Cartan torsion geometry. This article explains the architecture and motivation in plain language, highlighting the physical meaning of each step and the role each mathematical tool plays in the proof strategy.

Keywords

Yang–Mills mass gap constructive QFT Euclidean field theory Osterwalder–Schrader reflection positivity Wilson loops BRST Harris mixing popular exposition

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