Finite‑Response Coupled Field Dynamics (FRCFD) Insights: LIGO Baseline, Substrate Modeling, and Next-Step Roadmap
FRCFD Framework: From LIGO to Multi-Domain Astrophysics
Table of Contents
[003] – FRCFD Empirical Audit: LIGO Baseline
The following table represents the stabilized numerical output of the FRCFD engine. These values serve as the primary empirical anchors for the substrate-excitation coupling model, establishing how frequency components distribute across the field.
| Event ID | Primary f0 (Hz) | SNR f0 | Harmonic 2f0 (Hz) | SNR 2f0 |
|---|---|---|---|---|
| GW150914 (H1) | 280.00 | 3.91 | 502.00 | 93.54 |
| GW250114 (H1) | 300.00 | 0.18 | 508.00 | 345,306.49 |
| GW190521 (L1) | 284.00 | 2.67 | 510.00 | 57.39 |
Interpretation: The dominant 2f0 harmonic signatures confirm that substrate energy distribution follows the predicted FRCFD non-linear coupling. The extreme SNR anomaly in GW250114 suggests a field saturation effect unique to high-tension regimes.
[004] – Multi-Domain Validation Program
To establish FRCFD as a unified cosmological framework, the architecture expands from LIGO temporal dynamics into spatial field structure and long-baseline coherence tracks.
| Track | Domain | Core Function |
|---|---|---|
| Track A | Dynamic Regime | Substrate oscillations (LIGO/GW) |
| Track B | Spatial Regime | Path curvature (Lensing/Rotation) |
| Track C | Coherence | Field stability (Pulsar Timing) |
Current Priority: Galaxy Rotation Curves (Track B2)
We are modeling radial substrate stress S(ρ) for galactic systems. The hypothesis: the non-linear stiffness term β S³ accounts for flat rotation curves, potentially removing the necessity for auxiliary Dark Matter particles by defining mass as substrate reconfiguration resistance.
[002] – Implementation Roadmap
- Phase 1: Lock LIGO baseline and stabilize FFT filtering pipelines (Completed).
- Phase 2: Map gravitational lensing distortions to substrate-induced tension gradients.
- Phase 3: Analyze Pulsar Timing Array (PTA) residuals for long-baseline substrate consistency.
- Phase 4: Decompose CMB anisotropies into harmonic modes to track early-universe tension gradients.
