Skip to content

Commit e5d6cb8

Browse files
Add Key Interpretation section and results tables to README
1 parent 5a2a89c commit e5d6cb8

File tree

1 file changed

+41
-15
lines changed

1 file changed

+41
-15
lines changed

README.md

Lines changed: 41 additions & 15 deletions
Original file line numberDiff line numberDiff line change
@@ -10,7 +10,8 @@
1010
**Date:** 17 December 2025
1111
**Status:** Preprint
1212
**DOI:** [10.5281/zenodo.17860166](https://doi.org/10.5281/zenodo.17860166)
13-
**Website:** [https://mlsmawfield.com/tep/gnss-iii/](https://mlsmawfield.com/tep/gnss-iii/)
13+
**Website:** [https://mlsmawfield.com/tep/gnss-iii/](https://mlsmawfield.com/tep/gnss-iii/)
14+
**ORCID:** [0009-0003-8219-3159](https://orcid.org/0009-0003-8219-3159)
1415

1516
## Abstract
1617

@@ -98,30 +99,55 @@ python scripts/steps/step_2_0_raw_spp_analysis.py
9899
| 2.6 | `step_2_6_planetary_events.py` | Planetary conjunction/opposition |
99100
| 2.7 | `step_2_7_cmb_frame_analysis.py` | CMB frame grid search |
100101

101-
## Key Results
102+
## Summary of Key Results and Findings
102103

103-
**Dataset**: 539 stations × 3 years (2022–2024) = 1.17 billion pairs
104+
### Primary Results Table
105+
106+
| Metric | Value | Uncertainty | Significance |
107+
|--------|-------|-------------|--------------|
108+
| **Dataset Size** | 1.17 billion pair-samples || 539 stations |
109+
| **Temporal Coverage** | 3 years | 2022–2024 | Raw RINEX data |
110+
| **Signal Detection Rate** | 100% | 72/72 metric combinations | Mean R² = 0.93 |
111+
| **Processing** | Single Point Positioning (SPP) | Broadcast ephemerides | No precise products |
112+
113+
### Correlation Length by Processing Mode
104114

105115
| Mode | λ (km) || Interpretation |
106116
|------|--------|-----|----------------|
107117
| **Baseline (GPS L1)** | 727 | 0.971 | Ionosphere included |
108118
| **Ionofree (L1+L2)** | 1,072 | 0.973 | Ionosphere removed |
109119
| **Multi-GNSS** | 815 | 0.928 | All constellations |
120+
| **CODE Cross-Validation** | 4,811 || Matches 25-year benchmark |
121+
122+
### Four Pillars of Validation
123+
124+
| Finding | Value | Significance | Comparison to CODE |
125+
|---------|-------|--------------|-------------------|
126+
| **Orbital Velocity Coupling** | r = −0.763 | 5.4σ | CODE: r = −0.888 ✓ |
127+
| **CMB Frame Alignment** | RA=188°, Dec=−5° | 20.0° from dipole | CODE: 18.2° ✓ |
128+
| **Spacetime Symmetry** | Δ ≈ 5% (pos/clock) | Identical coupling | Metric fluctuation |
129+
| **Planetary Modulation** | 2.8× above null | p < 0.001 | No GM/r² scaling |
130+
131+
### Directional Anisotropy (Short Distances <500 km)
132+
133+
| Metric | E-W/N-S Ratio | t-statistic | Cohen's d |
134+
|--------|---------------|-------------|-----------|
135+
| **MSC Coherence** | 1.033 |||
136+
| **Phase Alignment** | 1.224 | up to 112 | up to 0.304 |
137+
| **Temporal Stability** | 94–100% | 34–36/36 months | Persistent |
138+
| **Geometry-Corrected** | 1.80–1.86 || Matches CODE (2.16) within 17% |
139+
140+
### Robustness Tests
110141

111-
**Key Findings (4 Pillars)**:
112-
- **Orbital Velocity Coupling**: r = −0.763 (5.4σ), independently replicating CODE's 25-year finding (r = −0.888).
113-
- **CMB Frame Alignment**: Best-fit at RA = 188°, Dec = −5° (20.0° from CMB dipole, matching CODE's 18.2°). Solar Apex disfavored (86.5° separation).
114-
- **Spacetime Symmetry**: Position jitter and clock bias exhibit identical orbital coupling (Δ ≈ 5%), consistent with spacetime metric fluctuation.
115-
- **Planetary Modulation**: Coherence modulation detected around 37 planetary events (2.8× above null, p < 0.001) with no tidal GM/r² scaling, ruling out tidal forcing.
142+
| Test | Result | Interpretation |
143+
|------|--------|----------------|
144+
| **Geomagnetic (Kp) Independence** | Δλ ≈ −1% | Invariant under storm conditions |
145+
| **Filter Independence** | CV < 15% | All three filters converge |
146+
| **Solar Apex Rejection** | 86.5° separation | Disfavored vs CMB |
116147

117-
**Validation**:
118-
- **Directional Anisotropy**: E-W > N-S at short distances (<500 km): Coherence 1.033, Phase Alignment 1.224 (p < 10⁻¹⁵).
119-
- **Temporal Stability**: E-W > N-S detected in 94–100% of all 36 months across all processing modes.
120-
- **Geometry-Corrected Ratio**: 1.80–1.86 (matches CODE's 2.16 within 17%).
121-
- **Geomagnetic Independence**: Signal invariant under storm conditions (Kp<3 vs Kp≥3: median Δλ ≈ −1%).
122-
- **Filter Independence**: All three station filters converge to consistent results (CV < 15%).
148+
### Key Interpretation
123149

124-
**CODE Cross-Validation**: Ionofree λ = 4,811 km (2024) matches CODE's 25-year benchmark (4,201 ± 1,967 km)
150+
This analysis eliminates the processing artifact hypothesis. By detecting the same signatures in raw RINEX observations processed with only broadcast ephemerides (no precise products), the findings demonstrate that distance-structured correlations exist in the fundamental data, not just sophisticated analysis center outputs. The replication of CODE's 25-year orbital velocity coupling (r = −0.763 vs r = −0.888) using completely independent methodology provides strong cross-validation. The identical coupling between position jitter and clock bias (Δ ≈ 5%) suggests spacetime metric fluctuations rather than clock-only effects—a key discriminant favoring TEP over instrumental explanations.
125151

126152
## File Structure
127153

0 commit comments

Comments
 (0)