A Citizen of the Republic of Korea

Geometric Emergence of Spacetime from Prime Spectral Scattering: Complex Phase Rotations, Sakharov Induced Gravity, and Critical Line Vacuum Stability (Complete Research Suite: Twin Core Monographs + 4 Companion Guides)

### Abstract & Overview of the Expanded Research Suite (Part IV, Version 2)This repository hosts the expanded, comprehensive second release (v2) of the Prime Spectral Scattering Research Suite. The suite establishes a mathematically rigorous, non-perturbative unification bridging...

A Deterministic Closed-Loop Pipeline for Real-Time Gravitational Wave Parameter Extraction: Forensic Inversion, Kerr Spectroscopy, and GWTC-1 Verification Suite

A Deterministic Closed-Loop Pipeline for Real-Time Gravitational Wave Parameter Extraction This Zenodo repository provides the complete, autonomous, and fully deterministic gravitational wave analysis pipeline designed to extract binary black hole (BBH) coalescence parameters dir...

On the Dynamical Regularization and Spectral Stability of the 3D Incompressible Navier-Stokes Equations: Hyperbolic Scale-Funneling, Transverse Shear Instabilities, and Nonlocal Singularity Quenching in R^3

Associated Foundation: Zenodo Euler Benchmark Trilogy (DOI: 10.5281/zenodo.23004488) Executive Summary This dataset and technical manuscript establish an airtight dynamical and spectral framework governing the unconditional self-regularization of smooth classical solutions to the...

Euler-Navier-Stokes Regularity Suite: Numerical Artifacts, Structural Instability, and Computer-Assisted Proofs (Volumes I–III & Verification Suite)

This record archives the complete three-volume research suite and open-source verification framework establishing the structural instability, nonlocal pressure barriers, and generic regularity of boundary-driven Euler and Navier–Stokes flows: • Volume I (01_Euler_Singularity_Nume...

Geometric Emergence of Spacetime from Prime Spectral Scattering: Complex Phase Rotations, Sakharov Induced Gravity, and Critical Line Vacuum Stability (Complete Research Suite: Core Monograph + 3 Companion Guides)

Abstract & Overview of the Complete Research Suite (Part IV) This repository hosts the fourth and culminating release of the Prime Spectral Scattering Research Suite, delivering a mathematically rigorous, non-perturbative unification bridging microscopic prime-phase spectral scat...

Autonomous Spectral Scattering on a 3-Point Harmonic Discrete Lattice: Geometric Rigidity, Boundary Funnel Dynamics, and Critical Line Exclusivity

This monograph establishes an autonomous, self-contained mathematical framework on the sequence Hilbert space \ell^2(\mathbb{N}_{\ge 2}) governed by the second central difference of the discrete harmonic sequence: w(k) \equiv 2\Delta^2(1/k) = 4 / [k(k^2 - 1)]. Formulated from pur...

K-Protocol Unified Research Suite: From Analytic Number Theory to 4d/5d Room-Temperature Superconductor Inverse Design (Parts I–IV & Addenda)

K-Protocol Unified Research Suite (Parts I–IV, Part III Paper II, and Part IV Papers I–III)From Analytic Number Theory & Operator Dynamics to Fluoride-Halide Room-Temperature Superconductor Inverse DesignAuthor: A Citizen of the Republic of Korea (estake@naver.com)License: MIT Li...

Euler-Navier-Stokes Regularity Suite: Numerical Artifacts, Structural Instability, and Computer-Assisted Proofs (Volumes I–III & Verification Suite)

This record archives the complete three-volume research suite and open-source verification framework establishing the structural instability, nonlocal pressure barriers, and generic regularity of boundary-driven Euler and Navier–Stokes flows: • Volume I (01_Euler_Singularity_Nume...

Resonant Touchdown of Fisher Zeros and Super-Kink Dynamical Quantum Phase Transitions via Lagrangian-Engineered Riemann Potentials

Dynamical quantum phase transitions (DQPT) provide a non-equilibrium framework for probing quantum criticality, where non-analytic kinks in the Loschmidt rate function lambda(t) signal the intersection of complex Fisher zeros with the physical real-time axis. In disordered many-b...

K-Protocol Unified Research Suite: From Analytic Number Theory to 2D High-Tc Superconductor Inverse Design (Parts I–IV)

K-Protocol Unified Research Suite (Parts I–IV & Part III Paper II)From Analytic Number Theory & Operator Dynamics to 2D High-Tc Superconductor Inverse DesignAuthor: A Citizen of the Republic of Korea (estake@naver.com)License: MIT License (Source Code) & Creative Commons Attribut...

Resonant Touchdown of Fisher Zeros and Super-Kink Dynamical Quantum Phase Transitions via Lagrangian-Engineered Riemann Potentials

Dynamical quantum phase transitions (DQPT) provide a non-equilibrium framework for probing quantum criticality, where the non-analytic kinks in the Loschmidt echo rate function λ(t) signal the crossing of Fisher zeros across the real-time axis. In disordered many-body localized (...