Global Time Echoes: Interactive GNSS Demo

Interactive demonstration: Do GNSS clock correlations weaken with distance?

Abstract

This interactive demonstration implements a simplified version of the Global Time Echoes GNSS analysis directly in the browser. Using a 7-day sample of high-rate GNSS clock data from January 2024, it tests whether station-pair clock residuals show distance-structured correlation decay after synchronization, detrending, and pairwise correlation analysis.

Note: The full multi-year analyses in Papers I–III report a Temporal Topology correlation length λ_T≈3,300–4,500 km with stronger cross-centre stability. This browser demo is intentionally shorter and lighter: because it uses only seven days of data, it typically recovers a shorter effective correlation length λ_T≈2,000–2,500 km and a lower binned fit quality R²≈0.75.

Analysis Pipeline

01. Load: Parse RINEX 3.04 CLK files (30s intervals) and IGS SINEX station coordinates (ITRF2020).
02. Align: Pivot the data into station-major time series and align stations to common GPS epochs. This produces a common sampling grid for pairwise comparison.
03. Correlate (Residual Analysis): Linear clock drift is removed from each station time series to isolate short-timescale residual structure. Pearson correlation is then computed for each station pair as a time-domain proxy for residual coherence.
04. Fit Spatial Decay: Bin station pairs logarithmically by geodesic distance and fit the binned correlation curve to C(r)=C₁exp(-r/λ_T)+C₀. Here r is geodesic distance in km, λ_T is the fitted correlation length, C₁ is the coherence amplitude, and C₀ is the long-range baseline.

Data Specifications

Source CODE Analysis Center (AIUB), Bern
Period Week 2295 (Jan 1-7, 2024)
Network ~300+ GNSS station clock time series
Resolution 30s High-Rate (Process Interval)

Configuration

Select Dataset:

Analysis Parameters:

Distance Bins:

Max Distance (km):

Loading Pyodide and packages...

Results

Correlation Length (λ_T)

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kilometers

Exponential Fit Quality

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R²

Station-Pair Links

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pairs

Pair count reflects geometric coverage, not independent statistical degrees of freedom.

Active Stations

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stations

Analysis Conclusion

Waiting for analysis results...

Understanding the Results

Correlation Length (λ_T): λ_T is the distance scale over which station-pair clock residuals remain correlated in the fitted exponential model. In this 7-day demo, the fitted value is approximately 2,200 km. In the full multi-year studies, the reported range is closer to 3,300–4,500 km.
Exponential Fit Quality (R²): The R² value measures how well the exponential decay model fits the binned correlation curve. Here R²≈0.76, which is strong enough for an interactive demonstration but weaker than the multi-year analyses.
Interpretation: The demo illustrates the central empirical question of Global Time Echoes: do residual correlations in clock networks decay with distance after conventional alignment and detrending? A positive result is consistent with the TEP interpretation, but it is not by itself proof of a physical temporal field. Longer baselines, independent replication, raw-data controls, and non-GNSS optical checks are required before assigning a definitive physical interpretation.

Results will appear here after analysis

Physics Visualization

Init

Load

Align

Correlate

Model

Analysis Logs

Ready to run analysis...

Global Network Map will appear here

Chart will appear here after analysis