Informativity Institute · Research brief · 25 October 2026

MQ predicts a 34.93 ppm separation in gravity measurements

MSL and NIST results provide numerical comparisons; a proposed contactless beam experiment would test the mode assignment.

CHICAGO — Measurement Quantization (MQ) proposes that continuous physical quantities arise from discrete count configurations. Developed by Jody A. Geiger across eight journal articles (2018–2025), the framework predicts two realizations of the gravitational constant: 6.67384484 and 6.67407794 × 10−11 m3 kg−1 s−2, separated by 34.93 parts per million. The illustrated overview maps MQ’s proposed contributions across physical constants, gravitation, quantum physics and cosmology. [1]

The measurements and the comparison

New Zealand’s Measurement Standards Laboratory (MSL) reported G = 6.674200 ± 0.000700 in 1999 and 6.673870 ± 0.000270 in 2003. NIST’s 2026 replication of the BIPM torsion balance yielded a consensus 6.673870 ± 0.000380, the same central value as MSL 2003. All values use the units above; uncertainties are one standard uncertainty. The MSL releases share apparatus history and are not independent confirmations. [2–4]

MSL and NIST measurements of G with MQ reference valuesMSL 1999: 6.674200 plus or minus 0.000700. MSL 2003: 6.673870 plus or minus 0.000270. NIST copper servo: 6.673642 plus or minus 0.000155; copper free: 6.674021 plus or minus 0.000202; sapphire servo: 6.672637 plus or minus 0.000250; sapphire free: 6.673636 plus or minus 0.000627. All G values multiply 10 to the negative 11 in SI units. MQ reference lines: 6.67384484 and 6.67407794. A MSL and NIST measurements beside MQ’s two reference values G values in units of 10^-11 m³ kg^-1 s^-2 · whiskers show ±1 standard uncertainty 6.6720 6.6728 6.6736 6.6744 6.6752 MSL 1999 6.674200 ± 0.000700 MSL 2003 6.673870 ± 0.000270 NIST 2026 · copper servo 6.673642 ± 0.000155 NIST 2026 · copper free 6.674021 ± 0.000202 NIST 2026 · sapphire servo 6.672637 ± 0.000250 NIST 2026 · sapphire free 6.673636 ± 0.000627 MQ finite-count: 6.67384484 MQ upper-count: 6.67407794
NIST mode separations compared with the MQ predictionMQ: positive 34.93 ppm, teal dashed line. Copper: 56.79 plus or minus 29.43 ppm. Sapphire: 149.72 plus or minus 92.01 ppm. Copper differs from the fixed MQ prediction by 21.86 ppm or 0.74 standard uncertainties, and from zero by 1.93 standard uncertainties. Gray dashed line is zero. B The mode gap: 34.93 ppm predicted; 56.79 ± 29.43 ppm in copper Free-minus-servo difference, divided by the servo value, in parts per million -60 -20 20 60 100 140 180 220 260 NIST copper: 56.79 ± 29.43 ppm NIST sapphire: 149.72 ± 92.01 ppm Copper: 21.86 ppm from MQ (0.74 standard uncertainties); 1.93 from zero.
Figure 1. Published values and the mode comparison. Panel A shows two MSL results and all four NIST mode determinations with rounded standard uncertainties. Dashed MQ lines are theoretical references. Panel B uses the NIST correlations in Geiger’s derived free-minus-servo comparisons; it does not combine these correlated configurations into independent tests. MSL 1999 · MSL 2003 · NIST, Tables 16–18 · MQ comparison.

NIST’s copper free-deflection value, 6.674021, exceeds its servo value, 6.673642, by 56.79 ± 29.43 ppm: 21.86 ppm, or 0.74 standard uncertainties, above MQ’s target. Sapphire gives 149.72 ± 92.01 ppm. These comparisons are compatible with the target within their stated uncertainties but do not uniquely identify MQ; NIST treats new physics as remote and instrumental effects as more plausible. [4,5]

Read the chart’s numerical values and normalization
G values in 10−11 m3 kg−1 s−2
DeterminationGStandard uncertainty
MSL 19996.6742000.000700
MSL 20036.6738700.000270
NIST 2026 · copper servo6.6736420.000155
NIST 2026 · copper free6.6740210.000202
NIST 2026 · sapphire servo6.6726370.000250
NIST 2026 · sapphire free6.6736360.000627

Mode separation = 106 × (Gfree − Gservo)/Gservo. Covariance is retained in the derived difference. The website’s fixed target is 34.9284 ppm; this brief rounds it to 34.93 ppm. The mode-gap uncertainties are from Geiger’s analysis of the NIST record. Rounded individual uncertainties in Panel A should not be used to reconstruct a more precise covariance calculation.

A September 2025 review of gravitational-constant measurements cites Geiger’s 2023 MQ paper as reference 154, among approaches to the discrepancy. MQ’s numerical realizations predate the 2026 NIST publication; assigning these particular measurement modes to the two realizations followed examination of the apparatus. [5,6]

The proposed Informativity experiment

The Institute’s contactless beam proposal compares source-reversed free deflection with the electrostatic drive off against electrostatic null servo on the same suspended object. Version 1.81 (25 October 2026) specifies a 1.000 m silicon-carbide frame, two nominal 0.50745 kg tip payloads and 12 series winding packs for magnetic support. Optical carriers sit at ±0.25 m; the modeled tip locations are ±0.50 m. [7]

Concept illustration of the proposed contactless beam instrument inside a vacuum enclosure, showing a central suspension, truss beam, end masses and optical equipment.
Figure 2. Proposed contactless beam experiment. Institute concept illustration, reproduced from the project page; this depicts an envisioned instrument, not constructed hardware or an engineering-approved version 1.81 layout. Illustration credit: Informativity Institute.

Version 1.81 numerical reference model · specified inventory and conditional torque benchmarks

3.037 kg
Moving reference inventory
1.666 tonnes
Identified source masses, before stages and supports
260.792 nN·m
Frozen source-reversal torque
9.10945 pN·m
Conditional gap at an assumed 34.93 ppm

Version 1.81 retains an estimated systematic root-sum-square of 48.3037 aN·m, or 5.30259 ppm of that conditional gap; all 18 component estimates remain unverified. The targets are 0.1 gap ppm statistical precision and less than 5 gap ppm total standard uncertainty. The complete uncertainty is unknown, and the conditional benchmark is not an established transferred MQ prediction for this apparatus. [7]

The current source solids intersect the modeled closed enclosure. Moving the source centers from ±0.15 m to ±0.30 m vertically permits geometric clearance, but a physically accepted source profile and its correction transfer remain unresolved. The Institute seeks a university host for geometry revision, independent torque calibration and optical qualification before a cryogenic measurement campaign. [7]

Media and experimental collaboration

Jody A. Geiger · Informativity Institute
info@informativity.org · Contact · Experiment proposal

Sources

  1. Geiger (2023), Measurement quantization, International Journal of Geometric Methods in Modern Physics 20, 2350069. See also the eight-paper publication record and historical comparison and scoring qualifications.
  2. Fitzgerald and Armstrong (1999), The measurement of G using the MSL torsion balance, Measurement Science and Technology 10, 439–444.
  3. Armstrong and Fitzgerald (2003), New Measurements of G Using the Measurement Standards Laboratory Torsion Balance, Physical Review Letters 91, 201101.
  4. Schlamminger et al. (2026), Redetermination of the gravitational constant with the BIPM torsion balance at NIST, Metrologia 63, 025012. §1; Tables 16–18; consensus result in abstract.
  5. Geiger / Informativity Institute, Planned experiments, Tables 1–3 and the fixed-prediction discussion. Source of MQ reference values and the derived paired-mode comparisons, distinct from NIST’s interpretation.
  6. Zhang et al. (2025), Progress on measurement of gravitational constant G, Measurement Science and Technology 36, 092003; §5.3 and reference 154.
  7. Geiger / Informativity Institute, Contactless SiC Beam Comparison of Gravitational Torque Modes and Contactless Beam Experiment Current Design Baseline, version 1.81, 25 October 2026. Current conceptual specifications and theoretical feasibility assessments; source for the inventory, benchmarks, targets and unresolved geometry reported here. Request the current design documents.

ppm = parts per million; 1 nN·m = 10−9 N·m; 1 pN·m = 10−12 N·m; 1 aN·m = 10−18 N·m. Historical G separations and proposed gap-relative engineering uncertainties have different denominators. Experimental papers establish the measurements; MQ interpretations and apparatus forecasts are attributed to the Institute.