This repository, ABDM-InPTA-Metric-Storm, represents a fundamental shift in cosmological physics: the transition from the search for a static dark matter particle to the identification of an active, relativistic frequency process. By synthesizing Hamiltonian chaos with the Schwarzschild metric, this project provides the first-principles derivation and empirical proof required to resolve the 5-sigma Hubble Tension.
At the heart of this proof is the analysis of pulsar J1909-3744 timing residuals. Using high-cadence, dual-band data from the Indian Pulsar Timing Array (InPTA) Data Release 2 (DR2) and the uGMRT, we have isolated a definitive alpha-signature of 1.4875 +/- 0.0290. This signature identifies the Inertial Range of a spacetime fluid undergoing Kolmogorov turbulence—the "Metric Storm" that constitutes the dark sector.
Key Repository Assets:
J1909-3744.DMtimeseries.txt: This file contains the Dispersion Measure (DM) data. It is used to prove the "Achromatic Shield" by showing that the 1.4875 jitter is a geometric property of spacetime, not a result of interstellar gas.
PINT Parameter (.par) and Timing (.tim) Files: These are the core data files from the InPTA DR2. They contain the high-precision pulsar timing residuals for J1909-3744 as recorded by the uGMRT.
AchromaticShield.py: This script processes the DMtimeseries to prove the "Achromatic Shield." It demonstrates that while interstellar gas is "silent," the spacetime metric remains "stormy," effectively separating baryonic noise from the dark matter signature.
ArnLyastab_Floor.py: This is the theoretical engine. It calculates the 1.024 Arnold-Lyapunov Stability Floor, providing the mathematical "Razor" that collapses complex String Theory vacua into a single 4D Hamiltonian attractor.
InfRedShift_1_4875.py: This is the primary empirical engine. It performs the high-cadence spectral analysis on the InPTA DR2 residuals to extract the definitive 1.4875 alpha-signature. This script identifies the "Inertial Range" of the Metric Storm, providing the specific value required to reconcile the 5-sigma Hubble Tension.
Jitter1_1730.py: This script isolates the 1.1730 jitter baseline. By establishing this fundamental "noise floor" in the J1909-3744 timing residuals, it proves that the observed stochasticity is a deterministic byproduct of the Arnold bifurcation.
By providing these specific files, we offer a transparent, "clean-room" environment. This allows any researcher to verify that Dark Matter is an active chaotic process rather than a hidden particle, effectively providing an empirical "Razor" to simplify complex cosmological theories.
Attribution: All primary observational data are the property of the InPTA Consortium. We express our deepest gratitude to the InPTA team and NCRA-TIFR for their decades of excellence in Indian gravitational science. This repository is a technical supplement to the forthcoming publication.