Big G as a Quantum-Coherence Readout: Parameter-Free Resolution of the Gravitational-Constant Discrepancy

The Newtonian gravitational constant G remains the least precisely known major fundamental constant. Its CODATA-2022 recommendation, G = 6.67430(15) × 10⁻¹¹ m³ kg⁻¹ s⁻², still rests on a factor-3.9 expansion of the input-data uncertainties, applied because the direct determinations remain mutually inconsistent. The 2026 NIST/BIPM torsion-balance replication reports the peer-reviewed Metrologia value G_NIST = 6.67387(38) × 10⁻¹¹ m³ kg⁻¹ s⁻², a low direct-G value. We show that an offset of this sign and magnitude arises internally, without any experiment-level fit parameter, from a two-path finite-source response mechanism in the parameter-free finite-cell formulation of Mittermeier Attractor Theory (MAT), and we offer this as a falsifiable resolution candidate. The construction separates two paths. The first path uses the Rydberg identity to fix a Hubble-free SI Planck anchor, R∞,SI ℓP^MAT = (α0,MAT² / 4π) μe, where α0,MAT is the MAT laboratory fine-structure readout and μe is the finite-support electron-to-Planck coordinate. This gives G_atom = 6.674300 × 10⁻¹¹ m³ kg⁻¹ s⁻², only 17.1 ppb above the CODATA central value (+0.00076 σ). The second path describes direct macroscopic G measurements. It keeps the Rydberg anchor fixed and multiplies it by one finite-source response factor, G_bulk = G_atom D_bulk, with D_bulk = (αM / α0,MAT)^4 (1 − αM² / 6π)^4. This gives G_bulk = 6.673871 × 10⁻¹¹ m³ kg⁻¹ s⁻², only 0.166 ppm above the peer-reviewed NIST/BIPM value. Thus MAT keeps the atomic sector fixed: the Rydberg wavenumber, the electron mass, and the laboratory fine-structure constant define one unique G_atom. The low direct-G value is then read as the response of finite macroscopic source masses, not as a second atomic or metrological constant. The bifurcation is sharply falsifiable. Clean finite macroscopic source–source experiments should converge to G_bulk, while a genuine coherent source–source quantum-gravity measurement should approach G_atom. Ordinary free-fall and atom-gravimeter tests are protected because the response factor belongs to active finite-source gravity, not to universal passive-mass renormalization.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-30
DOI
https://doi.org/10.5281/zenodo.21057916
Primary Topic
Pulsars and Gravitational Waves Research
Type
preprint
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preprint

Big G as a Quantum-Coherence Readout: Parameter-Free Resolution of the Gravitational-Constant Discrepancy

Rainer Andreas Mittermeier
Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
preprint

Big G as a Quantum-Coherence Readout: Parameter-Free Resolution of the Gravitational-Constant Discrepancy

Rainer Andreas Mittermeier
preprint en

Abstract

The Newtonian gravitational constant G remains the least precisely known major fundamental constant. Its CODATA-2022 recommendation, G = 6.67430(15) × 10⁻¹¹ m³ kg⁻¹ s⁻², still rests on a factor-3.9 expansion of the input-data uncertainties, applied because the direct determinations remain mutually inconsistent. The 2026 NIST/BIPM torsion-balance replication reports the peer-reviewed Metrologia value G_NIST = 6.67387(38) × 10⁻¹¹ m³ kg⁻¹ s⁻², a low direct-G value. We show that an offset of this sign and magnitude arises internally, without any experiment-level fit parameter, from a two-path finite-source response mechanism in the parameter-free finite-cell formulation of Mittermeier Attractor Theory (MAT), and we offer this as a falsifiable resolution candidate. The construction separates two paths. The first path uses the Rydberg identity to fix a Hubble-free SI Planck anchor, R∞,SI ℓP^MAT = (α0,MAT² / 4π) μe, where α0,MAT is the MAT laboratory fine-structure readout and μe is the finite-support electron-to-Planck coordinate. This gives G_atom = 6.674300 × 10⁻¹¹ m³ kg⁻¹ s⁻², only 17.1 ppb above the CODATA central value (+0.00076 σ). The second path describes direct macroscopic G measurements. It keeps the Rydberg anchor fixed and multiplies it by one finite-source response factor, G_bulk = G_atom D_bulk, with D_bulk = (αM / α0,MAT)^4 (1 − αM² / 6π)^4. This gives G_bulk = 6.673871 × 10⁻¹¹ m³ kg⁻¹ s⁻², only 0.166 ppm above the peer-reviewed NIST/BIPM value. Thus MAT keeps the atomic sector fixed: the Rydberg wavenumber, the electron mass, and the laboratory fine-structure constant define one unique G_atom. The low direct-G value is then read as the response of finite macroscopic source masses, not as a second atomic or metrological constant. The bifurcation is sharply falsifiable. Clean finite macroscopic source–source experiments should converge to G_bulk, while a genuine coherent source–source quantum-gravity measurement should approach G_atom. Ordinary free-fall and atom-gravimeter tests are protected because the response factor belongs to active finite-source gravity, not to universal passive-mass renormalization.

Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
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