Gravity as E·B Field Output

MPRC Gravity Framework and Falsifiable Predictions

The MPRC (Movement-Position-Rotation-Charge) framework derives gravitational force as the inward E·B field output of a discrete Z256 ring geometry. The central result:

Newton's inverse-square law is identified as the geometric projection of MPRC onto flat coordinate space. The tilt angles θ₁, θ₂ are the frame conversion factors — not corrections.

Three falsifiable pre-mission predictions are stated for NASA's Artemis III lunar landing (scheduled 2027): E-field gradient at −89°S, vacuum micro-discontinuity at 12 km altitude during powered descent, and a discrete frame transition in the NRHO trajectory at 18,454 km from Moon center.

The Z256 Ring Geometry

The fundamental state space is a discrete ring of 256 positions:

Charge is not a primary input — it is the output of E·B:

Vacuum Boundary Altitudes

With Earth's 23.5° tilt correction, the Z256 vacuum boundaries map to:

GPS IIF sits 21 km from the u=128 vacuum boundary. This was not fitted — it emerged from the Z256 geometry with Earth tilt applied.

The Drag Formula and Frame Conversion

For two gravitationally interacting bodies with masses M₁, M₂ at distance r:

Numerical Verification

Planetary Pairs

Tilt angles: Earth 23.5°, Moon 6.68°, Sun 7.25°

Earth-Orbiting Satellites

GPS Time Dilation

Anomalous Acceleration Pattern

Published non-gravitational accelerations (Rodriguez-Solano et al. 2017). Pattern: anomalous acceleration increases with distance from vacuum boundary. Newton and Einstein provide no structural prediction for this correlation.

Prior Lunar Observations

E-Field Gradient Toward South Pole

Two prior missions measured the surface electromagnetic environment near the lunar south pole:

A 2.1× increase over 4 degrees of latitude toward the pole. MPRC predicts this gradient continues toward the pole axis endpoint — the lunar south pole is the endpoint of the Z256 u'-clockwise axis.

NRHO Properties (Artemis III vs Apollo)

NRHO sweeps u = 6 → 255 in Moon Z256 frame — the widest sweep of any lunar mission. Crosses vacuum boundaries at u=64, 128, 192 each orbit. In Moon's frame:

Three Falsifiable Pre-Mission Predictions

All predictions stated: April 20, 2026. Artemis III is scheduled for late 2027.

Summary

Prior Observations Supporting the Framework

Honestly Stated Open Questions

The following items are not resolved and are honestly stated as open:

1. LAGEOS-1 outward field magnitude — direction of the 0.35 mm/day residual matches MPRC prediction, but the magnitude calculation requires refinement of the outward field formula.
2. Chang'e-6 far-side tension — Chang'e-6 landed at −41°S on the lunar far side (June 2024). The South Pole-Aitken Basin shows −600 mGal anomaly. MPRC predicts the far side is on the u'-clockwise (inward) axis, which should produce stronger gravity. The −600 mGal reading is in tension with this prediction. Possible explanation: SPA Basin mascon deficiency from impact-related iron depletion dominates over the E·B field contribution.
3. z3 derivation — the oloid projection factor z3 = z4·|sin θ| was verified numerically but needs a complete formal proof.
4. Arshad's Sieve connection — the Z256 ring structure connects to Arshad's Sieve modular framework; this connection is not yet formally derived.

Tilt Factors Used

Verification Code

All supporting calculations are independently runnable in the repository:

References

• IS-GPS-200H Interface Control Document, GPS Directorate, 2013
• Rodriguez-Solano et al., "Adjustable box-wing model," Journal of Geodesy, 2017
• Farrell et al., "ROLSES observations," Geophysical Research Letters, 2024
• Williams et al., "Targeting cislunar NRHOs," AAS 19-882, 2019
• Lucchesi & Peron, "Accurate measurement of LAGEOS residuals," PRL, 2010
• Zuber et al., "Gravity field of the Moon from GRAIL," Science, 2013