GPS–IDMR v2.5

Scalar–Metric Simulation of Relativistic Time Shifts in GPS Clocks using the IDMR–YM Framework

This module simulates relativistic corrections in GPS satellite clocks under the IDMR framework, now extended with scalar–metric modulation based on the IDMR–YM model. It includes configurable scalar field profiles, proper time corrections, and visualizations of time shift rates across orbital altitudes.

📄 DOI

10.5281/zenodo.17428129

🧭 Overview

• YIDMR Refinement: Saturation strength is inversely proportional to the Lorentz factor, ensuring realistic behavior at low velocities.
• Scalar–Metric Integration: Time shifts are modulated by scalar field profiles (1/r² and Gaussian), affecting the metric component ( g_{00} ).
• Proper Time Correction: IDMR time shifts computed via ( \Delta \tau \approx \frac{1}{2} \epsilon \phi^2 ), preserving bounded behavior.
• Configurable Simulation: Multiple scenarios (realistic, conceptual) selectable via command-line interface.
• Visualization: Time correction rates, scalar field profiles, and orbital altitude plotted and saved automatically.

📁 Contents

• GPS_IDMR_v2_5.pdf – Compiled document
• gps_idmr_sim.py – Python simulation script
• gps_idmr_conceptual_analysis.png – Output visualization
• README.md, CHANGELOG.txt, LICENSE.txt, requirements.txt

📚 Citation

If you use this module, please cite:

Victor Eduardo Morales Córdoba (2025). GPS–IDMR v2.5: Scalar–Metric Simulation of Relativistic Time Shifts in GPS Clocks using the IDMR–YM Framework. Zenodo. https://doi.org/10.5281/zenodo.17428129

🔗 Repository

GitHub – GPS–IDMR v2.5

🧪 License

This work is licensed under a Creative Commons Attribution 4.0 International License (CC-BY 4.0).