Local Conformal Symmetry: the Missing Symmetry Component for Space and\n Time

2014/10/24 by Gerard ’t Hooft, Hooft, Gerard T. · 4 citations
Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1410.6675

openalex publication_date 2014/10/24 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

Local conformal symmetry is usually considered to be an approximate symmetry\nof nature, which is explicitly and badly broken. Arguments are brought forward\nhere why it has to be turned into an exact symmetry that is spontaneously\nbroken. As in the B.E.H. mechanism in Yang-Mills theories, we then will have a\nmechanism for disclosing the small-distance structure of the gravitational\nforce. The symmetry could be as fundamental as Lorentz invariance, and guide us\ntowards a complete understanding of physics at the Planck scale.\n

Citations

• The Conformal Constraint in Canonical Quantum Gravity

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