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Metriplectic Quantum Dynamics Framework based on Simon's Algorithm

Project description

PSimon Framework: Metriplectic Quantum Dynamics

Project Status Physics Quantum

🌌 Overview

The PSimon Framework (psimon_h7) is a high-precision computational suite designed to simulate quantum systems under the Metriplectic formalism. It bridges the gap between conservative Hamiltonian dynamics (Information) and dissipative Metric dynamics (Entropy), governed by the rigorous principles of El Mandato Metriplético.

Concepto Central: Truncamiento en el campo de Fock, dentro de un espacio de Hilbert, confinado en la esfera de Bloch.

The core engine utilizes Simon's Algorithm to discover hidden periodicities in state spaces modulated by the Golden Operator ($O_n$).

⚖️ El Mandato Metriplético (Core Physics)

Every simulation in this framework obeys the fundamental laws:

  1. Symplectic Component: Conservative movement generated by the Hamiltonian $H$.
  2. Metric Component: Relaxation toward attractors governed by Dissipation Potential $S$.
  3. No Singularities: Balanced dynamics—neither purely conservative nor purely dissipative.
  4. Golden Spacetime ($O_n$): Structured vacuum modulation using the Golden Ratio $\phi$.

🏗️ Project Structure

.
├── core/               # PSimon Engine & Framework Management
├── physics/            # Metriplectic Oracles & Nuclear Systems
├── quantum/            # Simon's Algorithm & Quantum Logic
├── data/               # Computational results & JSON Convergence tables
├── tests/              # Pytest suite for rigorous validation
└── main.py             # Unified entry point

🚀 Getting Started

Prerequisites

  • Python 3.10+
  • numpy, scipy, pytest

Usage

Run the unified framework entry point:

python main.py

Testing

Validate the physics and logic:

pytest tests/

Developed under the framework of the Analogy Rigor Manifesto by Jacobo Tlacaelel Mina Rodriguez.

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