This repository contains multiple independent research projects. The table below gives a quick map of each project folder and its subfolders.
| Subject | Summary |
|---|---|
| 3tau Modal-Locking Threshold | Wave-physics whitepaper introducing the exact t = 3tau transition from traveling-wave behavior to standing-wave modal coherence in finite 1D systems, with hybrid simulation speedups. |
| Casimir Propulsion Concepts | Casimir-propulsion concept modeling focused on nanoscale pulsed arrays vs. macroscale static gaps, plus simulation scripts and generated plots. |
| Dynamical Symmetry Breaking in Legendre Duality | Dual executable whitepapers examining how finite-rate driving can break thermodynamic equivalence between Legendre-conjugate representations, including conceptual and mechanistic chemotaxis models. |
| EM-GW Priming Window | Ionosphere-troposphere coupling project proposing a conductivity-memory priming window where prior solar EM forcing multiplicatively gates later gravity-wave responses. |
| Fragility Index (FI) | Orbital-dynamics framework defining a twist-fragility metric for when small perturbations shatter KAM-structure stability and drive chaos. |
| Gaussian Surface Geometry | Differential-geometry exploration of Gaussian surfaces, including the 1-sigma curvature transition interpretation and visuals. Version DOI: https://doi.org/10.5281/zenodo.18847306. Concept DOI: https://doi.org/10.5281/zenodo.18847305. |
| Green Penetration Ratio (GPR) | Fluid-field sensing framework defining a vorticity-weighted boundary-distance ratio (delta) to choose boundary-first, mixed, or interior-first circulation measurement strategies under fixed noise and sensor-budget constraints. |
| Koch Rho Diffraction | Diffraction-first validation bundle testing whether a normalized interface-creation rate (rho) predicts generalized Koch diffraction stabilization better than Hausdorff dimension alone. |
| NS Light-Cone Trap | Turbulence predictability hypothesis proposing that backward Navier-Stokes reconstruction degrades faster than forward forecasting because viscous dissipation makes the inverse problem increasingly ill-conditioned under finite observation error. |
| Padovan Plastic Principle | Recurrence-theory whitepaper arguing that Padovan-style gapped recurrences deliver structural error damping via split-path propagation and phased cancellation, with Monte Carlo comparisons against Fibonacci and exponential baselines. |
| Palindromic Square Cliff (Repunits) | Number-theory project showing a sharp base-dependent transition where repunit squares lose palindromic structure at n = b - 1 due to central-digit carry overflow. |
| PhaseWall PoC App | Local-first Streamlit proof-of-concept app testing the Gaussian 1-sigma phase-wall insight with trajectory and optimizer benchmarks plus exportable evidence artifacts. |
| PD-L1 Kinetics Research | Oncology research project on dynamic PD-L1 induction velocity as a decision signal after immune priming in mTNBC. |
| Relative Predictability Theory (RPT) | Chaos-forecasting framework exploring a dimensionless predictability-intensity variable to decide when deterministic single-trajectory forecasting loses ROI and ensemble/statistical strategies should dominate. |
| tSZ Chronometer | Astrophysics framework treating protocluster thermal-energy surplus as a clock on uninterrupted AGN heating duty cycle and merger-free assembly windows. |