Prime Spectrum Kernel is a nonlinear spectral analysis kernel designed to reveal high-density interference structures that conventional Fourier methods cannot detect. It represents a distinct analytical direction outside mainstream AI, built on zeta-zero interference geometry.
- Beyond FFT: Captures non-linear spectral fluctuations and high-density interference patterns that standard frequency-domain tools miss.
- Precision Mapping: Directly fetches and maps high-order harmonics of Riemann zeta non-trivial zeros up to arbitrary scales (t ≈ 3000).
- Minimal Footprint: Built exclusively on core numerical and scientific libraries (
numpy,matplotlib,mpmath). - Deterministic & Local: Fully deterministic mathematical transformations with zero external API calls or telemetry.
The kernel generates high-order spectral interference patterns representing deep number-theoretic distributions:
(Visualization of 2000 zeros harmonics)
git clone [https://github.com/your-username/prime-spectrum-kernel.git](https://github.com/your-username/prime-spectrum-kernel.git)
cd prime-spectrum-kernel
pip install -r requirements.txt
Quick Start
Python
from prime_spectrum_kernel import PrimeSpectrumKernel
if __name__ == "__main__":
kernel = PrimeSpectrumKernel(num_zeros=2000)
kernel.plot_output()
Security & Privacy
Fully Local Execution: Operates entirely on your local machine.
No Data Transmission: Zero network dependencies or telemetry.
Core Architecture Isolated: The underlying proprietary mathematical framework remains strictly private and is never exposed in this repository.
Purpose & Scope
This repository provides a minimal, open-source nonlinear spectral tool.
The underlying advanced analytical framework (including density geometry, background-independent spectral theory, and noncommutative structures) remains strictly private.
Prime Spectrum Kernel serves as an independent, public-facing shadow tool to demonstrate technical precision and rigorous methodology.
License
Distributed under the MIT License. See LICENSE for more information.
Professional Inquiries
Professional consulting, advanced spectral analysis, and custom non-linear time-series investigations are available for qualified entities.
Contact: tsukinomiya.analytics@gmail.com
Gyokuto Mochizuki 餅月玉兎