A Parameter-Free Test of Geometric Vacuum Stress Using Deep-Space Probe Residuals

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: a_GVS = 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) |ā_res| < 2σ Upper bound on a_GVS B (GVS) |ā_res − a_GVS| < 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 σ_combined Required σ_bin (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 a_pub = 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 σ_bin < 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 gvs_deep_space_prd.tex — Full manuscript (REVTeX 4.2 format) gvs_deep_space_article.pdf — Compiled PDF gvs_simulation2.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