SU(0) Operator: Projection onto the Energy-Vacuum Condensate

This work defines the degenerate special unitary group SU(0) as the limit SU(0) = lim_{n→0} SU(n) and constructs the operator Ŝ₀: SU(n) → SU(0) that projects any SU(n) group onto the energy-vacuum condensate. Key results:- SU(0) is defined as the energy-vacuum condensate — the quantum vacuum, śūnyatā- The operator Ŝ₀ satisfies linearity, idempotence, invariance under χ = 616, and self-adjointness- The spectrum of Ŝ₀ consists of a single eigenvalue λ = 0 with infinite multiplicity- The commutator [Ŝ₀, G] = 0 for all G ∈ SU(n), establishing that Ŝ₀ commutes with the entire gauge group hierarchy- Physical interpretation: SU(0) is the state of minimal energy from which all gauge symmetries emerge and into which they ultimately return This work provides the foundational layer for the Σ-Ω⁴ Omega Unified Physics framework. Contents:- su0_operator_article_ru.pdf — Russian version- su0_operator_article_en.pdf — English version- su0_operator_article_ru.tex — LaTeX source (RU)- su0_operator_article_en.tex — LaTeX source (EN)- su0_operator.py — Python implementation- su0_operator_analysis.json — Complete analysis results License: Universal Academic Licence v1.0 (UAL-v1.0)Commercial use prohibited without author's written permission.