Research Repository Context Map

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.
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.
tSZ Chronometer	Astrophysics framework treating protocluster thermal-energy surplus as a clock on uninterrupted AGN heating duty cycle and merger-free assembly windows.