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Toward Quantum Gravity I: Newton Gravitation Constant, Cosmological Constant, and Classical Tests

2000/12/30 by Heui-Seol Roh, Roh, Heui-Seol · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #Relativity and Gravitational Theory #gr-qc #hep-ph

paper · pdf · doi:10.48550/arxiv.gr-qc/0101001

REVTeX, 14 pages

arxiv created 2000/12/30 · openalex publication_date 2000/12/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This study toward quantum gravity (QG) introduces an SU(N) gauge theory with the Θvacuum term as a trial theory. Newton gravitation constant GN is realized as the effective coupling constant for a massive graviton, GN /√(2) = gf gg2/8 MG2 ≃ 10-38 GeV-2 with the gauge boson mass MG = MPl ≃ 1019 GeV, the gravitational coupling constant gg, and the gravitational factor gf. This scheme postulates the effective cosmological constant as the effective vacuum energy represented by massive gauge bosons, Λe = 8 πGN MG4, and provides a plausible explanation for the small cosmological constant at the present epoch Λ0 ≃ 10-84 GeV2 and the large value at the Planck epoch ΛPl ≃ 1038 GeV2; the condensation of the singlet gauge field triggers the current anomaly and subtracts the gauge boson mass, MG2 = MPl2 - gf gg2 2 = gf gg2 (A02 - 2), as the vacuum energy. Relations among QG, general relativity, and Newtonian mechanics are discussed.

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