Overview This paper provides a parameter-free falsification protocol for testing the Geometric Vacuum Stress (GVS) hypothesis using deep-space navigation data from Pioneer 10/11 and New Horizons missions. Key Prediction The GVS framework predicts a constant sunward acceleration residual in post-thermal Pioneer tracking data: aGVS = S̄ · cH₀ ≈ 6. 2 × 10⁻¹⁰ m/s² where: S̄ = 0. 913 ± 0. 003 — Structural coherence constant measured independently in quantum entanglement experiments (69σ Mermin violation) cH₀ ≈ 6. 8 × 10⁻¹⁰ m/s² — Cosmological acceleration scale No parameters are fitted to navigation data. Three-Branch Falsification Protocol Branch Condition Outcome A (Null) |āᵣes| < 2σ Upper bound on aGVS B (GVS) |āᵣes − aGVS| < 2σ Parameter-free agreement C (Fail) Distance dependence or sign inconsistency GVS rejected Pre-Registration Statement: All falsification thresholds are fixed prior to data analysis. Post-hoc modifications would invalidate the test. Monte Carlo Assessment Objective Required σcombined Required σbin (3 bins) Detect GVS (if true) at ≥80% < 3. 5 × 10⁻¹⁰ < 4. 0 × 10⁻¹⁰ Exclude GVS at 95% CL < 2. 5 × 10⁻¹⁰ < 4. 2 × 10⁻¹⁰ Distinguish from aₚub = 1. 3 < 2. 5 × 10⁻¹⁰ < 4. 2 × 10⁻¹⁰ Critical Finding: Current mission-averaged data place the GVS prediction in moderate tension (~3σ) with published residual estimates. This tension is explicitly reported. Definitive discrimination requires bin-resolved data with σbin < 2. 0 × 10⁻¹⁰ m/s². Position in the Larger Program Quantum → Ephemerides ✓ → Deep-space? → Stellar? → Strong-field? → Galactic │ │ │ ▼ ▼ ▼ S̄ = 0. 913 ξ = 6. 24 a = 6. 2×10⁻¹⁰ This work constitutes the second step in an empirical sequence testing the universality of the structural coherence constant S̄ across 40+ orders of magnitude in length scale. Related Work Quantum Experiments V3. 2: 10. 5281/zenodo. 17589109 Planetary Ephemeris Predictions: 10. 5281/zenodo. 18255387 Package Contents gvsdeepₛpaceₚrd. tex — Full manuscript (REVTeX 4. 2 format) gvsdeepₛpaceₐrticle. pdf — Compiled PDF gvsₛimulation2. py — Monte Carlo simulation code README. md — Documentation Closing Statement "The purpose of this paper is not to persuade but to expose. We have constructed a theoretical prediction in a form that can be killed by data. The framework either survives empirical scrutiny or it does not. No post-hoc adjustment is permitted; the decision rules are fixed. " Soli Deo Gloria
Takayuki Takagi (Sun,) studied this question.