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2026-05-22T00:00:00
https://inspirehep.net/submissions/literature
G-DECODE: A High-Precision Phenomenological Constraint for Newton's Constant with B3/SO(7) Algebraic Structure and an Explicit Mechanism Gap
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[ { "name": "Oldrich Dvorak", "display_name": "Oldrich Dvorak", "orcid": "0009-0009-7912-296X", "affiliation": "Oldrich Research OS" } ]
We analyze the relation G = (4/3)(hbar c/m_e^2) alpha^21 exp(-5 alpha/2) as a bounded phenomenological statement about Newton's constant. Using CODATA 2022 inputs, the formula gives G_pred = 6.6743123e-11 SI, 1.84 ppm above the recommended central value and +0.082 sigma within current experimental uncertainty. The form...
{ "zenodo_doi": "10.5281/zenodo.20120946", "zenodo_url": "https://doi.org/10.5281/zenodo.20120946", "github_repo": "https://github.com/oldrich-research/gravitational-constant-relation", "arxiv_submission_id_rejected": "7578736" }
[ "phenomenological physics", "fundamental constants", "Newton constant", "high energy physics phenomenology", "mathematical physics" ]
{ "primary_pdf": "g-decode_inspire_primary.pdf", "latest_tex_source": "g-decode_inspire_latest_source.tex", "bibtex": "g-decode_inspire_refs.bib", "source_bundle": "g-decode_inspire_source_bundle.tar.gz" }
{ "arxiv_status": "arXiv physics.gen-ph submission 7578736 rejected on 2026-05-22; this packet is a direct INSPIRE literature submission, not an arXiv resubmission.", "endorsement_context": "Holger Bech Nielsen endorsed the arXiv submission route. Include this context in a cover-note/comment field or moderator foll...
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G-DECODE: A High-Precision Phenomenological Constraint for Newton's Constant with B3/SO(7) Algebraic Structure and an Explicit Mechanism Gap

We analyze the relation G = (4/3)(hbar c/m_e^2) alpha^21 exp(-5 alpha/2) as a bounded phenomenological statement about Newton's constant. Using CODATA 2022 inputs, the formula gives G_pred = 6.6743123e-11 SI, 1.84 ppm above the recommended central value and +0.082 sigma within current experimental uncertainty. The formula's discrete data admit an exact B3/SO(7) scaffold: 21 = dim(adj SO(7)), 5/2 = rho dot e1 = h_dual(B3)/2 under the standard dominant-chamber choice, and a B3-intrinsic 4/3 prefactor. The manuscript presents the relation as a Koide-class phenomenological anomaly with an exact algebraic scaffold, bounded reproducibility checks, and an explicit mechanism gap, not as a first-principles derivation of Newton's constant.

Canonical DOI: https://doi.org/10.5281/zenodo.20120946
GitHub: https://github.com/oldrich-research/gravitational-constant-relation
OSF mirror: https://osf.io/je6pa/

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