Prime Vortex Theory

A Deterministic Phase-Convergence Model for Riemann Zeta Zeros

Abstract

The Amaterasu-Transia Project presents the Prime Vortex Theory (PVT), a novel mathematical framework that redefines the distribution of non-trivial zeros of the Riemann Zeta function. By departing from the conventional GUE (Gaussian Unitary Ensemble) statistical approach, we demonstrate that these zeros follow a deterministic phase-convergence driven by geometric field dynamics on the critical line.

1. The Michikaze Resonance Equation

The imaginary parts of the zeros, \(t_k\), are governed by a closed-form resonance equation. This formula incorporates the Michikaze Renormalization Function, which compensates for the logarithmic compression of prime density.

[Insert Resonance Equation Image Here]

Strategic Systems: The 100+ IP Monetization Engine

The Amaterasu-Transia Project offers high-scale industrial solutions derived from the Prime Vortex Theory. We possess a proprietary matrix of over 100 Intellectual Property (IP) assets designed for immediate market impact.

Taisuke Michikaze

Independent Researcher | Mathematical Physics & Bio-Logic

Primary Protocol

Bio-OS: Biological Operating System

A foundational framework for governing the integration of digital logic with living systems through information-theoretic principles.

BDCP: Bio-Digital Conversion Protocol for molecular data encapsulation.

Secure Circuitry: Multi-factor physical authentication for genomic safety.

Resource Scheduler: Homeostatic priority arbitration logic.

Secondary Protocol

The Post-Singularity Physical Protocol

Standardization for physical infrastructure in extreme environments, including quantum, maritime, and aerospace domains.

Mandate: 50% of revenue generated via this protocol shall be allocated to global poverty alleviation initiatives.

VERIFIED PRIOR ART
Authenticated via OpenTimestamps (OTS) Protocol
Registration Date: February 7, 2026 (JST)
Archive Identifier: TRANSIA-CORE-ALPHA

© 2026 TAISUKE MICHIKAZE. ALL RIGHTS RESERVED.
Researcher's Note:
This archive is presented with "Information Density Optimization." As a researcher with hyper-focus, I prioritize mathematical elegance over redundant prose. The 100+ IP assets backing this project speak for the depth of the work.